Nonthermal electronic orders
Philipp Werne
University of Fribour

 

g

r

Kyoto, October 2022

Nonthermal electronic orders
in collaboration with
Naoto Tsuji (Tokyo University
Yuta Murakami (RIKEN
Martin Eckstein (Hamburg
Gil Refael (Caltech
Jiajun Li, Markus Mueller & Andreas Laeuchli (PSI

 

)

)

)

)

:

)

Kyoto, October 2022

Motivation“Tuning” of material properties by external drivin
Enhancement and control of electronic ordere. g. light-induced high-temperature superconductivity (?)
cuprates: Fausti et al., Science (2011), Kaiser et al., PRB (2014)

temperature
Mott insulator
metal

stripe ordersuperconductor

hole dopinggsphonons excited by THz pulse

Motivation“Tuning” of material properties by external drivin
Enhancement and control of electronic ordere. g. light-induced high-temperature superconductivity (?)
cuprates: Fausti et al., Science (2011), Kaiser et al., PRB (2014)

phonons excited by THz pulsegsrecent results from the Shimano group (arxiv:2209.01633): no Higgs modes

FIGURES (Main Text)

Motivation“Tuning” of material properties by external drivin
Enhancement and control of electronic ordere. g. light-induced high-temperature superconductivity (?)
FIGURES (Main Text)

fullerides: Mitrano et al., Nature (2016short pump pulse (300 fs)

T = 25K
T = 10K

equilibrium

T = 100K

g

)

K3C60

s

Fig. 1. Structure and equilibrium optical properties of K3C60. (A) Face
laser
centered
cubicdriven(fcc) unit cell of K3C60 xxxviii. Blue bonds link the C atoms on each
C60 molecule. K atoms are represented as red spheres. (B) C60 moleculardistortion (red) along the T1u(4) vibrational mode coordinates. Equilibrium
structure is displayed in blue. The displacement shown here corresponds to~12% of the C-C bond length. (C-E) Equilibrium reflectivity and complex opticalconductivity of K3C60 measured at T = 25 K (red) and T = 10 K (blue).

Motivation“Tuning” of material properties by external drivin
Enhancement and control of electronic ordere. g. light-induced high-temperature superconductivity (?)
FIGURES (Main Text)

fullerides: Budden et al., Nature Phys. (2021
NATURE PHYSICS
stronger pump pulse (300fs - 300 ps)

a

N
N
N
N
N
N

1.5

ρ0 (mΩ cm)

1.0

0.5

0

K3C60

0

0.5

1.0

5

10

Pump–probe delay (ns)

g

s

)

Fig. 4 | Transient resistivity measurements of the long-lived, light-induced phase in K3

E - EF (eV)Motivation
A

CB

-0.2

B
“Tuning” of material properties
by external drivin-0.4
EF
Enhancement
and control of electronic ordere. g. light-induced
enhancement of excitonic order (?)
VB

Ta2NiSe5: Mor et al., PRL (2017
k
"

#
"
10

20

)

2
3
Time delay (ps)

VB

k

! k

30

VB norm. intensity

E(k)

N
N
N
N
N
N

1.0

5
0
-5
-10
-15

0.8

0.6

-2

Fpump (mJ cm )
0.03
0.25
0.06
0.35
0.09
0.47
0.12
fit

E(k)

(f)

0.4

0

1

g

Eg

1

-10
-5
0
Emission angle (°)

CB

! k

(b)

-0.6
-15

s

energyE(k)T = 110 K, h! = 6.2 eV

upper VB shift (meV)-2

Fpump (mJ cm )
0.03
0.25
0.35
0.06
0.09
0.47
0.12
fit

At " 3F = 0.12 m

2
3Time delay (ps)

0
10

! k
20

30

1

Time

Goal
Explore mechanisms for nonthermal orders in model systems
1) Selective melting of orders in systems with coupled orderparameter
2) Cooling of electronic states by entropy reshuf ing
3) Nonthermal orders from constrained dynamics (entropy trapping

)

 

 

fl

s

4) Orders involving long-lived nonthermal “particles”

Method
Dynamical mean eld theory DMFT: mapping to an impurity problem
Georges & Kotliar, PRB (1992)
lattice model

impurity modelt∆

DMFT self-consistency

Simp [ (i!n )]Glattloc (i!n )Glattloc ⌘ Gimp

momentum average

1
i!n + µ ✏k
fi

Glatt
=
k

⌃latt
⌘ ⌃impk⌃lattk

DMFT approximation

impurity solver

Gimp (i!n ), ⌃imp (i!n )Nonthermal spin and orbital order
3/4 lled two-orbital Hubbard model Li, Strand,Werner & Eckstein, Nat. Comm. (2018)
Coupled AFM spin and orbital order in equilibrium
2“KCuF3 ”

ven

0

A

B

(1)

120°

Y3

bital
JH .

X3

z

A

(2)

B

x

y

FIG. 1. Spin and orbital ordered phase in equilibrium. (a)The spin-orbital order in a cubic environment in equilibrium.

↵
fi

T̂

Z3

(b)

 

`0

(a)

Nonthermal spin and orbital order
3/4 lled two-orbital Hubbard model Li, Strand,Werner & Eckstein, Nat. Comm. (2018)
Coupled AFM spin and orbital order in equilibrium
In-plane eld pulse: Different rates of energy transfer from photo2
doped carriers to AFM spin / orbital background“KCuF3 ”

ven

Y3

bital
JH .

A

x

B

0.2

A

120°

0.1

z

(2)

incr. nex

photo-excited

z

B

(1)

(a) pulse
in
out

0.3

0

spinSorder

0

y

0

thermalXn3 ~ 0.01
ex
0.1

T̂ ↵

orbital order

 

 

fi

The spin-orbital order in a cubic environment in equilibrium.
fiincr. Teq

0.2
X3

in-plane motion of doublons/holes melts
FIG.
1. order,Spin butandnotorbitalordered phase in equilibrium.
(a)(b)
orbitalspin order
 `0(b) 0.4Z3

(a)

0.3

0.4

100

PM

100

PM

Nonthermal composite orderthis ratio approaching
anded superconductors
oreover, the superconn the overexpanded ret role in producing thet to the dome-shaped
ally with interfullerenec occurs at the crosssimilar picture is conthe specific heat jumpn is consistent with anelectronic specific heat
dary (Fig. 5). The enerexpanded regime for

x = 2, coinciding with the unconventional Tc(V) dependence for thesame composition (Fig. 1E).
Figure 6 illustrates the full context of our main result—in fulleridesuperconductors, because of the intrinsically high crystal symmetry andthe initial t1u orbital degeneracy at EF, we can directly see via the dynamic JT distortion the manifestation of the electrons’ molecular origin atquantifiable intermolecular separations and link this to the understanding of the collective transport and superconducting pairing properties.
In this way, the cause of the anomalous normal state properties can be
precisely identified as the heterogeneous persistence of the molecular JT
effect into the metal via the combined action of electron-electron andelectron-phonon interactions, allowing us to link the onset of unconventional normal and superconducting state behavior with the highest

JTM

50

50

MI

SC

0

740

760

780

AF

SC
0

800

740

760

780

800

1/2 lled 3-orbital Hubbard model with J<0 max.
Werner & Murakami, PRB (2021)
orbital0.03 (c)fluctuation
Composite order: spontaneous 0.025
breaking of orbital symmetry at
CEP
the two-particle level (double occupation)
0.02
PM
MI
0.015

ni = (0.5, 0.5, 0.5) ! (0.5, 0.5,0.010.5)0

di = (0.3, 0.3, 0.3) ! (0.4, 0.4, 0.2)
0.005

BCS

0

(d)

0.03

BCS

780

fi

Å3)

SOSM

no conventional (orbital) order
AFM

composite
order
SC

0

800

Fig. 6. Global phase diagram. Electronic phase diagram of fcc RbxCs3−xC60
showing the evolution of Tc (ambient P: solid triangles, high P: unfilled triangles) and the MJTI-to-JTM crossover temperature, T′ (SXRPD: squares; c(T):stars; 13C, 87Rb, and 133Cs NMR spectroscopy: hexagon with white, color,and black edges, respectively; IR spectroscopy: diamonds), as a function of

Zadik et al., Sci. Adv. (2015)

Downloaded from https://www.science.org on October 19, 2022

760

0.5

0.5

1

1.5

2

max. orbital
fluctuation

0.025

CEP

0.02

PM

0.015

SOSM

MI

0.01

AFM

0.005

SC

0
0

0.5

1

1.5

2

Jahn-Teller metal = spontaneous orbitalSketchesof theexperimental phase diagrams
selective Mott
phase

FIG. 2:(a) fcc and (b) bcc fullerides based on Refs. 11, 12. P& Werner,
PRLdiagrams(2017) of the three-orb
els (c) andHoshino(d) showthe phase
 1Nonthermal composite order
1/2 lled 3-orbital Hubbard model with J<0 Werner & Murakami, PRB (2021)
Composite order: spontaneous breaking of orbital symmetry at
the two-particle level (double occupation)ni = (0.5, 0.5, 0.5) ! (0.5, 0.5, 0.5)
di = (0.3, 0.3, 0.3) ! (0.4, 0.4, 0.2)

“A3 C60 ”
conventional paramagneti
metal (3 x metal)
composite ordered meta
(1 x metal, 2 x ins“Jahn-Teller metal”

T

no conventional (orbital) ordercomposite orderequilibrium

conventiona
insulator (3 x ins)

I,PM
M,PM

antiferromagneti
composite ordere
insulato(2 x PM ins,
1 x AFM ins)

I,AFM,C
M,PM,C
 

c

l

)

d

c

l

 

r

fi

U

Nonthermal composite order
1/2 lled 3-orbital Hubbard model with J<0 Werner & Murakami, PRB (2021)
Equilibrium: AFM order and C order are couple
Photo-doping allows to disentangle the AFM and C orders(selective melting of AFM order
Order parameters:
8
Tcomp = d1 + d2

2d3 ,AFM = n"n#
1

8

Todd (x 1/17)

1

T8comp (x 2)

Ω=2.9
Ω=2.7
Ω=2.5
0.8
Ω=2.3
composite orderis robust
Ω=2.1
Ω=1.9
0.6

U=8, Ω=3.5

AFM

AFM

0.1

therm
0.4

0.01

photo-doping pulse
10

12

14

AFM order
0 melts rapidly
0

2

4

6

8

10

12
d

 

)

t
fi

8

0.001

0.2

14

0

0.2

0.4

Nonthermal composite order
1/2 lled 3-orbital Hubbard model with J<0 Werner & Murakami, PRB (2021)
Equilibrium: AFM order and C order are couple
Photo-doping allows to disentangle the AFM and C orders(selective melting of AFM order
Order parameters:
8
Tcomp = d1 + d2

2d3 ,AFM = n"

n#

4

1
Ω=2.9
Ω=2.7
Ω=2.5
Ω=2.3
Ω=2.1
Ω=1.9

0.8

AFM

0.6

thermalhidden phaseparamagnetic, composit
ordered insulator

0.4
noneq.
0.2
0

10

12

0

14

0.2

0.4

0.6

0.8

d

 

)

e

:

8
Tcomp
fi

8

1

Conceptual question
Appearance of “fragile” electronic orders in highly nonequilibrium
state

N
N
N
N
N
N

s

correlated electron system

Conceptual question
Appearance of “fragile” electronic orders in highly nonequilibrium
state
Need to nd ways to avoid heatin
entropy coolin
entropy trappin

N
N
N
N
N
N

g

g

g

fi

s

correlated electron systemEntropy cooling (“evaporative cooling”)
Photo-doping from/to at band Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)
Dipolar excitations with appropriate frequency ⌦ transfer
electrons from core to system and cool down the system!
system DO(partially lled)
s

fl

fi

S

fi

S

core DO(completely lled)Entropy cooling (“evaporative cooling”)
Photo-doping from/to at band Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)
Dipolar excitations with appropriate frequency ⌦ transfer
electrons from core to system and cool down the system⌦electrodopingholdoping!
system DO(partially lled)
s

fl

fi

S

fi

S

n

e

core DO(completely lled)Entropy cooling (“evaporative cooling”)
Photo-doping from/to at band Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)
Dipolar excitations with appropriate frequency ⌦ transfer
electrons from core to system and cool down the system⌦electrodopingholdopingentropy!
system DO(partially lled)
s

fl

fi

S

fi

S

n

e

core DO(completely lled)Entropy cooling (“evaporative cooling”)
Photo-doping from/to at band Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)
Entropy of the core band in the narrow band (atomic) limit
Score = 2n ln(n ) 2(1 n ) ln(1 n )rapid increase of entropof the core upon hole doping

In case of isentropic doping process:cooling of system due to entropy reshuf ing:s

Ssystem &
fl

fl

y

Score % )

S=0.80.4

0.4

Entropy cooling (“evaporative cooling”)
T

T

S=0.7 ≈ ln(2)
S=0.6

0.2

∆Ssystem=0

0.2

S=0.5
...

Photo-doping from/to at band Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)∆Score=0
Constant
entropy contours in the lling-temperature
plane
0
0
0.25

0.3

0.35

0.4

0.45

0.5

0.75

0.8

fillingsystem

0.85

0.9

0.95

1

filling

0.6

0.6

S=0.8
0.4

0.4

T

T

S=0.7 ≈ ln(2)
S=0.6
0.2

∆Ssystem=0

0.2

S=0.5
...

∆Score=0
0
0.25

0.3

0.35

0.4

0.45

0.5

0
0.75

filling

0.8

0.85

0.9

0.95

filling

quasi-particle
temperatureandinllings
Figure3. Charge
quasi-particle
cooling
the first set-up.
isentropic
case transfer and

fi

s

fl

fi

realized by chirped pulses

1S=0.80.4

0.4

Entropy cooling (“evaporative cooling”)
T

T

S=0.7 ≈ ln(2)
S=0.6

0.2

∆Ssystem=0

0.2

S=0.5
...

Photo-doping from/to at bands Werner, Eckstein, Mueller & Refael, Nat. Comm. (2019)∆Score=0
Constant
entropy contours in the lling-temperature
plane
0
0
0.25

0.3

0.35

0.4

0.45

0.5

0.75

fillingsystem

0.9

0.95

1

0.2 0.6

0.4
S=0.7 ≈ ln(2)S=0.6∆Ssystem=0

S=0.5
...

0.4

Ω=6.000.1
T

staggered magnetization

S=0.8

T

0.85

light-inducedfilling
AFM order

0.6

0.2

0.8

0.2

pulse
length∆Score=0
0
0.25

0.3

0.35

0.4

0.45

0.5

filling

0 0
0 0.75

0.8
40

0.85
0.9120 0.95 160 1
80
t filling

fi

 

fl

 

Figure 3. Charge transfer
quasi-particle
in the first set-up.
Figure2.andChargetransfer coolingand quasi-particle
cooling in the first s
AFM
order

Entropy trapping
Thermalization bottleneck prevents system from heatinge. g. recombination of electrons and holes can be very slow if thegap size is large

recombination

 !

Entropy trapping
Thermalization bottleneck prevents system from heatinge. g. recombination of electrons and holes can be very slow if thegap size is larg
2similarly, doublon-hole recombination is very
slow in large-gap
Mott insulators, which allows low-entropy states to survive
1

magnetization

0.8
0.6

trapped orderparameter

0.9

0.4

Werner,Tsuji & Eckstein, PRB (2012)

0.8

0.2
0.7

04 1.06

0interaction quench in an AFM
Mott insulato

0

0

10
10

20
20

30
30

u=4 → 6
u=4 → 7
u=4 → 840

50

thermalized order
60 parameter

 

e

 

 

r

 

t

ic phaseSpin-orbital (excitonic) order
Spin as an entropy sin
Non-thermal excitonic order near a spin-state transition
Werner & Murakami, PRB (2020)
low-spiinsulator

spin-stattransition

Sloc = 0

high-spiinsulator

Sloc = ln 3

k

e

n

n

decreasing level splitting

Spin-orbital (excitonic) order
Spin as an entropy sin
Non-thermal excitonic order near a spin-state transition
Werner & Murakami, PRB (2020)
low-spiinsulator

high-spiinsulator

excitoni
insulator

Sloc = 0

=

X
0

†
hc1

c2 0 i

0

k

n

c

n

Kunes, J. Phys. Condens. Matter (2015)

Sloc = ln 3
decreasing level splitting

Spin-orbital (excitonic) order
Spin as an entropy sin
Non-thermal excitonic order near a spin-state transition
Werner & Murakami, PRB (2020)
low-spiinsulator

Sloc = 0

=

X
0

k

c

y

n

c

thermal-like excitoni
insulator induced b(spin) entropy coolingnhigh-spiinsulator

excitoni
insulator†
hc1

c2 0 i0

Sloc = ln 3
decreasing level splitting

Spin-orbital (excitonic) order
Spin as an entropy sin
Non-thermal excitonic order near a spin-state transition
Werner & Murakami, PRB (2020)
low-spiinsulator

high-spiinsulator

excitoni
insulator

Sloc = 0

=

X
0

†
hc1

c2 0 i0

Sloc = ln 3
decreasing level splitting

thermal-like excitoni
insulator induced b(spin) entropy cooling

k

 

c

y

n

c

n

nonthermal excitonic insulator
resulting from entropy trappingSpin-orbital (excitonic) order
Spin as an entropy sin
Non-thermal excitonic order near a spin-state transition
Werner & Murakami, PRB (2020)
thermal-like excitonic insulator induced by (spin) entropy cooling

nonthermal excitonic insulator resulting from entropy trapping

k

h

e

 

interesting in connection wit
recent experiments in th
Shimano group:
arxiv:2209.01633

Superconductivity
Nonthermal superconductivity in entropy-cooled system
Repulsion-attraction conversion in population-inverted state
Tsuji,Werner, Oka & Aoki, PRL (2011)

AC- eld quench allows to invert the electronic bands and theiroccupation

s

s

fi

J0 (E/ ) = 1

Superconductivity
Nonthermal superconductivity in entropy-cooled system
Repulsion-attraction conversion in population-inverted state
Tsuji,Werner, Oka & Aoki, PRL (2011)

AC- eld quench allows to invert the electronic bands and theiroccupation

s

s

fi

J0 (E/ ) = 0.8

Superconductivity
Nonthermal superconductivity in entropy-cooled system
Repulsion-attraction conversion in population-inverted state
Tsuji,Werner, Oka & Aoki, PRL (2011)

AC- eld quench allows to invert the electronic bands and theiroccupation

s

0.2

s

fi

J0 (E/ ) =Superconductivity
Nonthermal superconductivity in entropy-cooled system
Repulsion-attraction conversion in population-inverted state
Tsuji,Werner, Oka & Aoki, PRL (2011)

AC- eld quench allows to invert the electronic bands and theiroccupatio
Inverted population = “negative-temperature state
System with U > 0, T < 0 is equivalent to U < 0, T > 0
expect superconductivity<latexit sha1_base64="/gcfsBAjMlqQwIaSpbZIEyWfe+E=">AAAB8XicbVBNS8NAEJ3Urxq/qh69LBbBg5RERD2IFLx4rNC0xTaUzXbTLt1swu5GKKH/wosHRbz6b7z5b9y0OWjrg4HHezPMzAsSzpR2nG+rtLK6tr5R3rS3tnd29yr7By0Vp5JQj8Q8lp0AK8qZoJ5mmtNOIimOAk7bwfgu99tPVCoWi6aeJNSP8FCwkBGsjfTo3TpnqHnj2Ha/UnVqzgxombgFqUKBRr/y1RvEJI2o0IRjpbquk2g/w1IzwunU7qWKJpiM8ZB2DRU4osrPZhdP0YlRBiiMpSmh0Uz9PZHhSKlJFJjOCOuRWvRy8T+vm+rw2s+YSFJNBZkvClOOdIzy99GASUo0nxiCiWTmVkRGWGKiTUh5CO7iy8ukdV5zL2vuw0W1Xi/iKMMRHMMpuHAFdbiHBnhAQMAzvMKbpawX6936mLeWrGLmEP7A+vwBZJ6OxQ==</latexit><latexit sha1_base64="egA4d+JyRINZA9Pm3VHPajcT46o=">AAAB8XicbVBNS8NAEJ3Urxq/qh69LBbBg5RERD2IFLx4rNC0xTaUzXbTLt1swu5GKKH/wosHRbz6b7z5b9y0OWjrg4HHezPMzAsSzpR2nG+rtLK6tr5R3rS3tnd29yr7By0Vp5JQj8Q8lp0AK8qZoJ5mmtNOIimOAk7bwfgu99tPVCoWi6aeJNSP8FCwkBGsjfTo3ThnqHnr2Ha/UnVqzgxombgFqUKBRr/y1RvEJI2o0IRjpbquk2g/w1IzwunU7qWKJpiM8ZB2DRU4osrPZhdP0YlRBiiMpSmh0Uz9PZHhSKlJFJjOCOuRWvRy8T+vm+rw2s+YSFJNBZkvClOOdIzy99GASUo0nxiCiWTmVkRGWGKiTUh5CO7iy8ukdV5zL2vuw0W1Xi/iKMMRHMMpuHAFdbiHBnhAQMAzvMKbpawX6936mLeWrGLmEP7A+vwBZJSOxQ==</latexit>

create “cold” negative-T states by photodoping from/to full/empty band

s

s

”

 

s

n

fi

Werner, Li, Golez & Eckstein, PRB (2019)

Superconductivity
Nonthermal superconductivity in entropy-cooled system
Repulsion-attraction conversion in population-inverted state
Tsuji,Werner, Oka & Aoki, PRL (2011)

AC- eld quench allows to invert the electronic bands and theiroccupatio
Inverted population = negative-temperature stat
System with U > 0, T < 0 is equivalent to U < 0, T > 0<latexit sha1_base64="/gcfsBAjMlqQwIaSpbZIEyWfe+E=">AAAB8XicbVBNS8NAEJ3Urxq/qh69LBbBg5RERD2IFLx4rNC0xTaUzXbTLt1swu5GKKH/wosHRbz6b7z5b9y0OWjrg4HHezPMzAsSzpR2nG+rtLK6tr5R3rS3tnd29yr7By0Vp5JQj8Q8lp0AK8qZoJ5mmtNOIimOAk7bwfgu99tPVCoWi6aeJNSP8FCwkBGsjfTo3TpnqHnj2Ha/UnVqzgxombgFqUKBRr/y1RvEJI2o0IRjpbquk2g/w1IzwunU7qWKJpiM8ZB2DRU4osrPZhdP0YlRBiiMpSmh0Uz9PZHhSKlJFJjOCOuRWvRy8T+vm+rw2s+YSFJNBZkvClOOdIzy99GASUo0nxiCiWTmVkRGWGKiTUh5CO7iy8ukdV5zL2vuw0W1Xi/iKMMRHMMpuHAFdbiHBnhAQMAzvMKbpawX6936mLeWrGLmEP7A+vwBZJ6OxQ==</latexit><latexit sha1_base64="egA4d+JyRINZA9Pm3VHPajcT46o=">AAAB8XicbVBNS8NAEJ3Urxq/qh69LBbBg5RERD2IFLx4rNC0xTaUzXbTLt1swu5GKKH/wosHRbz6b7z5b9y0OWjrg4HHezPMzAsSzpR2nG+rtLK6tr5R3rS3tnd29yr7By0Vp5JQj8Q8lp0AK8qZoJ5mmtNOIimOAk7bwfgu99tPVCoWi6aeJNSP8FCwkBGsjfTo3ThnqHnr2Ha/UnVqzgxombgFqUKBRr/y1RvEJI2o0IRjpbquk2g/w1IzwunU7qWKJpiM8ZB2DRU4osrPZhdP0YlRBiiMpSmh0Uz9PZHhSKlJFJjOCOuRWvRy8T+vm+rw2s+YSFJNBZkvClOOdIzy99GASUo0nxiCiWTmVkRGWGKiTUh5CO7iy8ukdV5zL2vuw0W1Xi/iKMMRHMMpuHAFdbiHBnhAQMAzvMKbpawX6936mLeWrGLmEP7A+vwBZJSOxQ==</latexit>

0.5

0.4

1

-0.2

0.2

-0.3

0.1

-0.4

0
0

50

100

150
t

200

0.2

0.6

<

0.3

t=60
t=105
t=150
t=195
βeff=20
βeff=7.3

0.8

A /A

pulse

t=60
t=105
t=150
t=195

0.3
A(ω, t)-0.1

double occupation

SC order parameter

0
0.4

6

0.1

0.4
0.2

0
-4

-2

0

2

4

0
-0.8

-0.6

-0.4

ω

-0.2

0

0.2

0.4

0.6

0.8

ω

FIG. 5: Left panel: Double occupation and superconducting order parameter
during thesymmetric
cooling-by-doping
process.
Werner,Li, Golez& Eckstein,
PRB (2019)
The interaction strength is U = 2.52, the initial inverse temperature β = 5, and the applied pair field is 0.001. Middle and
s

s

e

n

fi

<

is approximately βeff = 10.5, see botto
η-SCshows the population and energy distrib
doubleoccupation
0.4
including a fit of the energy distribution-j / Afinal
function (pink curve).
0.3
Note that the η-paired state is a lon
0.2
Nonthermal
superconductivity in entropy-cooledsystemlibrium stateof the system, which instate is not expect⌘0.1pairing in a repulsive Hubbard model negative-temperature
withinverted
populationin the isolated system. On exponentially0andpositive effective doublon/holon temperature
doublon-holon recombination and scatpair pulse
E pulsethermalize
system and lead to
Rosch, Rasch, Binz & Vojta, PRL (2008); Werner, Li, Golezwill& Eckstein,
PRB the(2019)
-0.1
0
20
40
60
80
100 120 140 160
order. (Because of the large energy otinverted state, this thermalized state w
temperature state.) On the other hand1
itivepairin
βeff , the transientstate realized
normaleta-pairinAA< / A
0.8
doping is robust (photo-doped)
against cooling by p(equilibrium)βeff=10.5
baths with positive temperature, in con
0.6
0ventional superconducting
state 0with ncussed in Sec. III B, which is not expec
0.4
long in the presence of energy dissipatio
0.5Superconductivity<latexit sha1_base64="FQJWIfc+HTw8p9SvmA6hcGQl0nM=">AAAB7XicbVDLSgNBEOz1GeMr6tHLYBA8hV0RzTHgxWME84BkCbOTTjJmdmaZmRXCkn/w4kERr/6PN//GSbIHTSxoKKq66e6KEsGN9f1vb219Y3Nru7BT3N3bPzgsHR03jUo1wwZTQul2RA0KLrFhuRXYTjTSOBLYisa3M7/1hNpwJR/sJMEwpkPJB5xR66RmNxnxnt8rlf2KPwdZJUFOypCj3it9dfuKpTFKywQ1phP4iQ0zqi1nAqfFbmowoWxMh9hxVNIYTZjNr52Sc6f0yUBpV9KSufp7IqOxMZM4cp0xtSOz7M3E/7xOagfVMOMySS1Ktlg0SAWxisxeJ32ukVkxcYQyzd2thI2opsy6gIouhGD55VXSvKwE15Xg/qpcq+ZxFOAUzuACAriBGtxBHRrA4BGe4RXePOW9eO/ex6J1zctnTuAPvM8fOLiO3g==</latexit><latexit sha1_base64="4o7MhW7xwcV2pkB8hYdFQmX6OnQ=">AAAB7nicbVDLSgNBEOz1GeMr6tHLYBC8GHZFNMeAF48RzAOSJcxOOsmQ2dlhZlYISz7CiwdFvPo93vwbJ8keNLGgoajqprsrUoIb6/vf3tr6xubWdmGnuLu3f3BYOjpumiTVDBssEYluR9Sg4BIblluBbaWRxpHAVjS+m/mtJ9SGJ/LRThSGMR1KPuCMWie1LrtqxHt+r1T2K/4cZJUEOSlDjnqv9NXtJyyNUVomqDGdwFc2zKi2nAmcFrupQUXZmA6x46ikMZowm587JedO6ZNBol1JS+bq74mMxsZM4sh1xtSOzLI3E//zOqkdVMOMS5ValGyxaJAKYhMy+530uUZmxcQRyjR3txI2opoy6xIquhCC5ZdXSfOqEtxUgofrcq2ax1GAUziDCwjgFmpwD3VoAIMxPMMrvHnKe/HevY9F65qXz5zAH3ifP6LojxU=</latexit><latexit sha1_base64="FQJWIfc+HTw8p9SvmA6hcGQl0nM=">AAAB7XicbVDLSgNBEOz1GeMr6tHLYBA8hV0RzTHgxWME84BkCbOTTjJmdmaZmRXCkn/w4kERr/6PN//GSbIHTSxoKKq66e6KEsGN9f1vb219Y3Nru7BT3N3bPzgsHR03jUo1wwZTQul2RA0KLrFhuRXYTjTSOBLYisa3M7/1hNpwJR/sJMEwpkPJB5xR66RmNxnxnt8rlf2KPwdZJUFOypCj3it9dfuKpTFKywQ1phP4iQ0zqi1nAqfFbmowoWxMh9hxVNIYTZjNr52Sc6f0yUBpV9KSufp7IqOxMZM4cp0xtSOz7M3E/7xOagfVMOMySS1Ktlg0SAWxisxeJ32ukVkxcYQyzd2thI2opsy6gIouhGD55VXSvKwE15Xg/qpcq+ZxFOAUzuACAriBGtxBHRrA4BGe4RXePOW9eO/ex6J1zctnTuAPvM8fOLiO3g==</latexit>

00.2

IV. 2 CONCLUSIONS
doublon-holon
exchange2t /(-U) has
-6
-4
-2
0
2
4
6
opposite sign from AFM spin exchangeωWe have demonstrated the versatility
stateforwith
populationneighbor hopby-doping approach by producing di
FIG. 7: Results
thealmostmodelcompletewith next-nearest
NNN inversion andNN “cold” effective T>0 prepared
nonequilibrium states of the Hubbard mping vsystem= 0.25vsystem. The top panel shows the double
entropy-cooling
occupation byandη-pairing oderprotocol
parameter during and after the
inaccessible in previous nonequilibrium
symmetric cooling-by-photo-doping process. The interaction
studies. The formation of photo-dope
s

g

g

0

Superconductivity
Nonthermal superconductivity in entropy-cooled system⌘ pairing in a repulsive Hubbard model with inverted population5and positive effective doublon/holon temperature
Rosch, Rasch, Binz & Vojta, PRL (2008); Werner, Li, Golez & Eckstein, PRB (2019)
0.5

inversion
0.4

η-SC
double occupancy-j / Afinal

light-induced ⌘ -pairing

0.3
0.2

non-decaying current consistent wit
superconductivity

0.1
0E pulse
200

-0.1

0

50

100

150

200

t

s

h

photo-dopinguasi-particle
cooling pulsein the first set-up.

Superconductivity

0.2

(a)

bath
A, eq.
AA<
βeff = 7.79

0.15

A, A

<

Nonthermal superconductivity in 0.1entropy-cooled system
Nonequilibrium phase diagram of photo-doped Mott insulator
0.05
Use steady-state DMFT to control doublon concentration and Teff
Li, Golez,Werner & Eckstein, PRB (2020)

-8
104

-4

-2 3

0
ω

(b)

103

upper Hubbard

-6

0.4

0.3

0

0.2

10

-2

0.1

10

el.

10-3

holes

10-4

0

0.1

0.2

0.3

0.4

0.0
0.5

d

FIG. 3. The bath-doping protocol.

steady-state formalism
 µFIG. 1. (a)Spectralfunction A(!)
and occupied
inversesusceptibility
for uniform
and density of<states A (!) at µb =5.4, which corresponds to the data point
staggered superconductivity
labeled by the arrow in (b). The dashed green curve indicatesthe equilibrium (µb = 0.0,
= 0.05) spectral function for
eq = 100. The blue curve shows the density of states of thesempty fermion bathslower Hubbard

1 †

8

10-1

recombination

µ

6

101

el.

1/χ

U

4

η SC
s-wave SCη order102
doublons

2

order parameter

full fermion bath0

Superconductivity
Nonthermal superconductivity in entropy-cooled system
3
Nonequilibrium phase diagram of photo-doped Mott insulator
41–43
the
doublon(hole)
hopping
processes. (DMFT givesbath
Use steady-state
DMFT to control
and Teffa stabilitydoublon
range of dconcentration. 0.05 for the antiferromagnetic
A, eq.

(a)AA<βeff = 7.79

phase under photodoping in the same model35 .) ApLi, Golez,Werner & Eckstein, PRB (2020)parently, the ⌘–pairing phase persists under photodop3
ing over a much larger doping range d as compared tofull fermion bath

upper Hubbard

doublons

-4

-2

U

0
2
ω
recombination(b)

4

ηel.SCs-wave SCη order

holes

6

8
0.4

0.3
lower Hubbard

0.2

empty fermion bathsteady-state formalism
µ

1 †

µ

0.0

phase diagram
FIG. 2. Non-equilibrium phase diagram of the repulsive Hubs

FIG. 3. The bath-doping protocol.0.1

s-6

order parameter

-8

el.

Superconductivity
Nonthermal superconductivity in entropy-cooled system
Optical conductivity of the ⌘ pairing stat4

Li, Golez,Werner & Eckstein, PRB (2020)
0.16

ping
borrepce ofs efhich
nter2
0 /U ,
ction
bortails.
mag0.5.

(a)

0.12

Re σ

0.08

(b)

eq.
η-SC
normal

1/ω

101

Im σ

100 -3
10

0.04

10-2
ω

10-1

0
-0.04

0

2

4

6
ω

8

10

12 0

2

4

6
ω

8

10

12

s

 

e

fl

No gapin Realthe real(in contrast
toofs-waveSC) conducFIG.
3. (a)
andpart(b) imaginary
partthe optical
tivity.
dark blue
dashed curves
correspond toan equilibtwo- The
uid picture:condensed
doublons/holons
coexistwithriumparamagnetic
normalsinglons state with = 100. The light blue curves
and the red curves characterize the two states labeled by red

Superconductivity
Nonthermal superconductivity in entropy-cooled system
What happens in photo-doped systems on frustrated lattices
Can we realize an analogue of 120-degree order?

2

Li, Mueller, Kim, Laeuchli & Werner, arXiv (2022)

chiral superconducting statwith loop currents
experimental signature:

?

s

e

r

 

 

second-order transverse
supercurrent response fo
A along x

Superconductivity
Nonthermal superconductivity in entropy-cooled system
What happens in photo-doped systems on frustrated lattices
Can we realize an analogue of 120-degree order?

2

Li, Mueller, Kim, Laeuchli & Werner, arXiv (2022)

experimental signature:

?

s

e

r

second-order transverse
supercurrent response fo
A along x
 t0 e

chiral superconducting statwith loop currentsi'

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Superconductivity
Nonthermal superconductivity in entropy-cooled system
What happens in photo-doped systems on frustrated lattices
Can we realize an analogue of 120-degree order?
Li, Mueller, Kim, Laeuchli & Werner, arXiv (2022)

Evidence from steady-state DMFT
0.25

0.5

a

0.4

A
A<
bath

0.4

Teff = 0

0.15

0.3

doublon

φ

holon

nd

<

A(ω), A (ω)

0.2

0.5

b

0.1

0.2
0.3

0.05

0.1

0
ω

5

occupation of the Hubbard bands
c

ϕ=0
0.09

0.35
0.44

10

0.1

0.2

0.3

0.4

0.5

0

ϕ
0.03

order parameteras a function of 0.02v(t)Peierlsh(t)phase and double occupation
φ(t)
d

0.01

?

0.01

-5

0

s

0.015

0.2

 

0
-10

0.5

0.5

b

Superconductivity

0.3
φNonthermal superconductivity in entropy-cooled system
0.2
0.3 What happens in photo-doped systems on frustrated lattices
0.1
Can we realize an analogue of 120-degree
order?
Li, Mueller, Kim, Laeuchli & Werner, arXiv (2022)
0

0.1

0.2

0.3

0.4

0.5

0

ϕ
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protocol (for ' = 0 )<latexit sha1_base64="BamsTn9xhVAzCvyUmX+66BFuYpg=">AAAB8nicbVBNS8NAEJ3Urxq/qh69LBbBU0lE1ItQ8OKxgv2ANJTNdtMu3eyG3U2hhP4MLx4U8eqv8ea/cdPmoNUHA4/3ZpiZF6WcaeN5X05lbX1jc6u67e7s7u0f1A6POlpmitA2kVyqXoQ15UzQtmGG016qKE4iTrvR5K7wu1OqNJPi0cxSGiZ4JFjMCDZWCvpTrNIxu/Vcd1Crew1vAfSX+CWpQ4nWoPbZH0qSJVQYwrHWge+lJsyxMoxwOnf7maYpJhM8ooGlAidUh/ni5Dk6s8oQxVLZEgYt1J8TOU60niWR7UywGetVrxD/84LMxDdhzkSaGSrIclGccWQkKv5HQ6YoMXxmCSaK2VsRGWOFibEpFSH4qy//JZ2Lhn/V8B8u681mGUcVTuAUzsGHa2jCPbSgDQQkPMELvDrGeXbenPdla8UpZ47hF5yPb+DAkFM=</latexit>

0.03

d
v(t)
h(t)
φ(t)

0.02
0.01

with constant applied seed eld

0
0.03

e

0.02

with short seed- eld pulse

0.01
0
0

20

40

60

80

100

120

140
?

s

 

time
fi

0.2
10

Teff = 0

fi

nd

0.4

0.4

Superconductivity
Nonthermal superconductivity in entropy-cooled system
What happens in photo-doped systems on frustrated lattices
Can we realize an analogue of 120-degree order?
Li, Mueller, Kim, Laeuchli & Werner, arXiv (2022)

Evidence from exact diagonalization (12 sites)
a

3.5

ϕ=0
0.09
0.17
0.26
0.35
0.44
π/6

3
2.5
2

ϕ(A)structure≈ 0.0
pairingfactor
0.037
0.045
0.056
0.067
0.080
0.096

S(120) ⇠

1.5

X
ij

✓i ✓j⇤ h +
i j i

1

✓i=R,G,B = 1, ei2⇡/3 , ei4⇡/3

0.5
0
0.2

nd

0.3

0.4

0.5

0

0.1

?

0.1

s

0

 

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0.2

nd

0.3

Superconductivity
Experiments on -(ET)2 Cu[N(CN)2 ]Br<latexit sha1_base64="9xD7uP8JqnYzQzlVaSpVo9Rk7pw=">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</latexit>

Buzzi et al., PRX (2020)

Molecular crystal which can be modeled by a (distorted)
triangular lattice single-band Hubbard model
PHYS. REV. X 10, 031028 (2020)

M. BUZZI et al.

Re ectivity and optical conductivit
after laser-excitation of molecular mode
A superconducting-like state with a life-timeof a few ps is induced up to ~ 50K

 

s

y

 

fl

FIG. 3. In-plane reflectivity, real and imaginary parts of the optical conductivity measured in κ-ðETÞ2 Cu½NðCNÞ2 $Br at equilibrium(red circles) and at τ ≃ 1 ps time delay after vibrational excitation (blue circles), at four different base temperatures between 15 K and
70 K. Lines are corresponding fits to the spectra. These fits were performed with a Drude-Lorentz model for the equilibrium response at

Superconductivity
Experiments on -(ET)2 Cu[N(CN)2 ]Br<latexit sha1_base64="9xD7uP8JqnYzQzlVaSpVo9Rk7pw=">AAACHXicbZDLSsNAFIYn9VbjrerSTbAV6sKSFFGXxSK4KhV6gzaUyfS0HTq5MHMiltAXceOruHGhiAs34tuYpl1o64GBj/8/Z+bM7wSCKzTNby21srq2vpHe1Le2d3b3MvsHDeWHkkGd+cKXLYcqENyDOnIU0AokUNcR0HRG5anfvAepuO/VcByA7dKBx/ucUYylbua8g/CAyT2RhN4kynVGNAho7ix/UzvNdYu5ctiu5MuVhO1rOdF1vZvJmgUzKWMZrDlkybyq3cxnp+ez0AUPmaBKtS0zQDuiEjkTMNE7oYKAshEdQDtGj7qg7CjZamKcxErP6PsyPh4aifp7IqKuUmPXiTtdikO16E3F/7x2iP0rO+JeECJ4bPZQPxQG+sY0KqPHJTAU4xgokzze1WBDKinDONBpCNbil5ehUSxYFwXrrpgtleZxpMkROSZ5YpFLUiK3pErqhJFH8kxeyZv2pL1o79rHrDWlzWcOyZ/Svn4AtA6fDA==</latexit>

Buzzi et al., PRX (2020)

Gap size of the nonequilibrium “superconducting” state extracted
optical conductivity is larger than the low-T equilibrium ga
different type of superconductivity?

no clear gap in the equilibrium conductivit
below Tc (d-wave?)

Buzzi et al.: possible production of doublons and ⌘ pairing?
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Superconductivity
Experiments on -(ET)2 Cu[N(CN)2 ]Br<latexit sha1_base64="9xD7uP8JqnYzQzlVaSpVo9Rk7pw=">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</latexit>

Buzzi et al., PRX (2020)

Insights from our study
On a triangular lattice system, 120-degree chiralsuperconductivity more likely than ⌘ pairin
-Br is metallic: unlikely to feature long-lived doublons/holons
needed for ⌘ pairing or 120-degree order<latexit sha1_base64="WIyWo2CayXcUicqeAKqcmnshDko=">AAAB7nicbVBNS8NAEJ34WeNX1aOXxSJ4KomIeix48VjBfkAbymY7aZduNmF3I5TQH+HFgyJe/T3e/Ddu2hy09cHA470ZZuaFqeDaeN63s7a+sbm1Xdlxd/f2Dw6rR8dtnWSKYYslIlHdkGoUXGLLcCOwmyqkcSiwE07uCr/zhErzRD6aaYpBTEeSR5xRY6VOHw11XXdQrXl1bw6ySvyS1KBEc1D96g8TlsUoDRNU657vpSbIqTKcCZy5/UxjStmEjrBnqaQx6iCfnzsj51YZkihRtqQhc/X3RE5jradxaDtjasZ62SvE/7xeZqLbIOcyzQxKtlgUZYKYhBS/kyFXyIyYWkKZ4vZWwsZUUWZsQkUI/vLLq6R9Wfev6/7DVa3RKOOowCmcwQX4cAMNuIcmtIDBBJ7hFd6c1Hlx3p2PReuaU86cwB84nz+rXI54</latexit><latexit sha1_base64="J+TNKATRuDWaBDiEqwmiZa2bnz8=">AAAB9XicbVA9T8MwEL3wWcJXgZHFokVioUo6AGMFC2OR6IfUhspxndaq41i2A6qq/g8WBhBi5b+w8W9w2gzQ8qSTnt670929UHKmjed9Oyura+sbm4Utd3tnd2+/eHDY1EmqCG2QhCeqHWJNORO0YZjhtC0VxXHIaSsc3WR+65EqzRJxb8aSBjEeCBYxgo2VHsrdEZYSl8+vleu6vWLJq3gzoGXi56QEOeq94le3n5A0psIQjrXu+J40wQQrwwinU7ebaioxGeEB7VgqcEx1MJldPUWnVumjKFG2hEEz9ffEBMdaj+PQdsbYDPWil4n/eZ3URFfBhAmZGirIfFGUcmQSlEWA+kxRYvjYEkwUs7ciMsQKE2ODykLwF19eJs1qxb+o+HfVUq2Wx1GAYziBM/DhEmpwC3VoAAEFz/AKb86T8+K8Ox/z1hUnnzmCP3A+fwDFQ5C4</latexit>

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Superconductivity

nd transport crossovers in the organic compoundκ-(BEDT-TTF)2 Cu[N(CN)2 ]Clette,1 P. Wzietek,1 S. Florens,2, 1 A. Georges,2, 1
C. Pasquier,1 D. Jerome,1 C. Mézière,4 and P. Batail4

oire de Physique des Solides (CNRS, U.R.A. 8502),
510, Université de Paris-Sud, 91405 Orsay, France-Ecole Normale Supérieure, (CNRS-UMR 8549),
rue Lhomond, 75231 Paris Cedex 05, France
stitut für Theorie der Kondensierten Materie,versität Karlsruhe, 76128 Karlsruhe, Germany
Chimie Inorganique, Matériaux et Interfaces (CIMI) ,7 CNRS- Université d’Angers, 49045 Angers, France

Experiments on -(ET)2 Cu[N(CN)2 ]Br<latexit sha1_base64="9xD7uP8JqnYzQzlVaSpVo9Rk7pw=">AAACHXicbZDLSsNAFIYn9VbjrerSTbAV6sKSFFGXxSK4KhV6gzaUyfS0HTq5MHMiltAXceOruHGhiAs34tuYpl1o64GBj/8/Z+bM7wSCKzTNby21srq2vpHe1Le2d3b3MvsHDeWHkkGd+cKXLYcqENyDOnIU0AokUNcR0HRG5anfvAepuO/VcByA7dKBx/ucUYylbua8g/CAyT2RhN4kynVGNAho7ix/UzvNdYu5ctiu5MuVhO1rOdF1vZvJmgUzKWMZrDlkybyq3cxnp+ez0AUPmaBKtS0zQDuiEjkTMNE7oYKAshEdQDtGj7qg7CjZamKcxErP6PsyPh4aifp7IqKuUmPXiTtdikO16E3F/7x2iP0rO+JeECJ4bPZQPxQG+sY0KqPHJTAU4xgokzze1WBDKinDONBpCNbil5ehUSxYFwXrrpgtleZxpMkROSZ5YpFLUiK3pErqhJFH8kxeyZv2pL1o79rHrDWlzWcOyZ/Svn4AtA6fDA==</latexit>

Buzzi et al., PRX (2020)

Insights from our study
On a triangular lattice system, 120-degree chiralsuperconductivity more likely than ⌘ pairin
-Br is metallic: unlikely to feature long-lived doublons/holons
needed for ⌘ pairing or 120-degree orden (MIT) is a key
separate four different regimes of transport (to be dely correlated elecscribed below) within the paramagnetic phase, corre120-degree
in strongly
photo-doped -Cl ?
ct of extensive exsponding
to an ”insulator”, aorder”semiconductor”,
a ”badlane transport measurements on the two-dimensional organic salt κCl. A variable (gas) pressure technique allows for a detailed study ofy through the insulator-to-metal transition. We identify four different
ction of pressure and temperature (corresponding to insulating, semiand strongly correlated Fermi liquid behaviours). Marked hysteresis ison, which displays complex physics that we attribute to strong spatial inthe critical region, good agreement is found with a dynamical mean-field
perties using the numerical renormalization group technique.
<latexit sha1_base64="J+TNKATRuDWaBDiEqwmiZa2bnz8=">AAAB9XicbVA9T8MwEL3wWcJXgZHFokVioUo6AGMFC2OR6IfUhspxndaq41i2A6qq/g8WBhBi5b+w8W9w2gzQ8qSTnt670929UHKmjed9Oyura+sbm4Utd3tnd2+/eHDY1EmqCG2QhCeqHWJNORO0YZjhtC0VxXHIaSsc3WR+65EqzRJxb8aSBjEeCBYxgo2VHsrdEZYSl8+vleu6vWLJq3gzoGXi56QEOeq94le3n5A0psIQjrXu+J40wQQrwwinU7ebaioxGeEB7VgqcEx1MJldPUWnVumjKFG2hEEz9ffEBMdaj+PQdsbYDPWil4n/eZ3URFfBhAmZGirIfFGUcmQSlEWA+kxRYvjYEkwUs7ciMsQKE2ODykLwF19eJs1qxb+o+HfVUq2Wx1GAYziBM/DhEmpwC3VoAAEFz/AKb86T8+K8Ox/z1hUnnzmCP3A+fwDFQ5C4</latexit><latexit sha1_base64="WIyWo2CayXcUicqeAKqcmnshDko=">AAAB7nicbVBNS8NAEJ34WeNX1aOXxSJ4KomIeix48VjBfkAbymY7aZduNmF3I5TQH+HFgyJe/T3e/Ddu2hy09cHA470ZZuaFqeDaeN63s7a+sbm1Xdlxd/f2Dw6rR8dtnWSKYYslIlHdkGoUXGLLcCOwmyqkcSiwE07uCr/zhErzRD6aaYpBTEeSR5xRY6VOHw11XXdQrXl1bw6ySvyS1KBEc1D96g8TlsUoDRNU657vpSbIqTKcCZy5/UxjStmEjrBnqaQx6iCfnzsj51YZkihRtqQhc/X3RE5jradxaDtjasZ62SvE/7xeZqLbIOcyzQxKtlgUZYKYhBS/kyFXyIyYWkKZ4vZWwsZUUWZsQkUI/vLLq6R9Wfev6/7DVa3RKOOowCmcwQX4cAMNuIcmtIDBBJ7hFd6c1Hlx3p2PReuaU86cwB84nz+rXI54</latexit><latexit sha1_base64="0TTGFuMGZhzEf++ZUg0rH7Mffac=">AAAB9XicbVA9T8MwEHX4LOGrwMhi0SKxUCUdgLFSF8Yi0Q+pDdXFdVurjmPZDqiK+j9YGECIlf/Cxr/BaTNAy5NOenrvTnf3QsmZNp737aytb2xubRd23N29/YPD4tFxS8eJIrRJYh6rTgiaciZo0zDDaUcqClHIaTuc1DO//UiVZrG4N1NJgwhGgg0ZAWOlh3JvAlJC+bLOXdftF0texZsDrxI/JyWUo9EvfvUGMUkiKgzhoHXX96QJUlCGEU5nbi/RVAKZwIh2LRUQUR2k86tn+NwqAzyMlS1h8Fz9PZFCpPU0Cm1nBGasl71M/M/rJmZ4E6RMyMRQQRaLhgnHJsZZBHjAFCWGTy0Bopi9FZMxKCDGBpWF4C+/vEpa1Yp/VfHvqqVaLY+jgE7RGbpAPrpGNXSLGqiJCFLoGb2iN+fJeXHenY9F65qTz5ygP3A+fwC9oZCz</latexit>

metal” and a Fermi-liquid metallic regime. Our mea-

Buzzi et al., PRL (2021)

80
c

c

P 1 (T)
*
T Met

70

P 2 (T)ρ(Τ)max

*

60

T (K)

(dσ/dP)max

T Ins

Semiconductor

phase diagram of -Cl<latexit sha1_base64="0TTGFuMGZhzEf++ZUg0rH7Mffac=">AAAB9XicbVA9T8MwEHX4LOGrwMhi0SKxUCUdgLFSF8Yi0Q+pDdXFdVurjmPZDqiK+j9YGECIlf/Cxr/BaTNAy5NOenrvTnf3QsmZNp737aytb2xubRd23N29/YPD4tFxS8eJIrRJYh6rTgiaciZo0zDDaUcqClHIaTuc1DO//UiVZrG4N1NJgwhGgg0ZAWOlh3JvAlJC+bLOXdftF0texZsDrxI/JyWUo9EvfvUGMUkiKgzhoHXX96QJUlCGEU5nbi/RVAKZwIh2LRUQUR2k86tn+NwqAzyMlS1h8Fz9PZFCpPU0Cm1nBGasl71M/M/rJmZ4E6RMyMRQQRaLhgnHJsZZBHjAFCWGTy0Bopi9FZMxKCDGBpWF4C+/vEpa1Yp/VfHvqqVaLY+jgE7RGbpAPrpGNXSLGqiJCFLoGb2iN+fJeXHenY9F65qTz5ygP3A+fwC9oZCz</latexit>

Bad metal

50

40

Limette et al., PRL (2003)

Mott
insulator
30
20

Fermi liquid

A.F
insulator

10
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100

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P (bar) al oxides, such as
as NiS2−x Sex (foro chemical compoprinciple to sweep
For these materipressure is several
amental aspects oftail. This issue isnt theoretical prensport close to theperimental test [2].
κ-(BEDT-TTF)2 X
r a remarkable opese compounds areo hydrostatic presCN)2 ]Cl compoundw) displays a very<latexit sha1_base64="WIyWo2CayXcUicqeAKqcmnshDko=">AAAB7nicbVBNS8NAEJ34WeNX1aOXxSJ4KomIeix48VjBfkAbymY7aZduNmF3I5TQH+HFgyJe/T3e/Ddu2hy09cHA470ZZuaFqeDaeN63s7a+sbm1Xdlxd/f2Dw6rR8dtnWSKYYslIlHdkGoUXGLLcCOwmyqkcSiwE07uCr/zhErzRD6aaYpBTEeSR5xRY6VOHw11XXdQrXl1bw6ySvyS1KBEc1D96g8TlsUoDRNU657vpSbIqTKcCZy5/UxjStmEjrBnqaQx6iCfnzsj51YZkihRtqQhc/X3RE5jradxaDtjasZ62SvE/7xeZqLbIOcyzQxKtlgUZYKYhBS/kyFXyIyYWkKZ4vZWwsZUUWZsQkUI/vLLq6R9Wfev6/7DVa3RKOOowCmcwQX4cAMNuIcmtIDBBJ7hFd6c1Hlx3p2PReuaU86cwB84nz+rXI54</latexit>

no light-induced SC in -Cl
using the same excitatioof molecular modes<latexit sha1_base64="0TTGFuMGZhzEf++ZUg0rH7Mffac=">AAAB9XicbVA9T8MwEHX4LOGrwMhi0SKxUCUdgLFSF8Yi0Q+pDdXFdVurjmPZDqiK+j9YGECIlf/Cxr/BaTNAy5NOenrvTnf3QsmZNp737aytb2xubRd23N29/YPD4tFxS8eJIrRJYh6rTgiaciZo0zDDaUcqClHIaTuc1DO//UiVZrG4N1NJgwhGgg0ZAWOlh3JvAlJC+bLOXdftF0texZsDrxI/JyWUo9EvfvUGMUkiKgzhoHXX96QJUlCGEU5nbi/RVAKZwIh2LRUQUR2k86tn+NwqAzyMlS1h8Fz9PZFCpPU0Cm1nBGasl71M/M/rJmZ4E6RMyMRQQRaLhgnHJsZZBHjAFCWGTy0Bopi9FZMxKCDGBpWF4C+/vEpa1Yp/VfHvqqVaLY+jgE7RGbpAPrpGNXSLGqiJCFLoGb2iN+fJeXHenY9F65qTz5ygP3A+fwC9oZCz</latexit>

Conclusions
Model studies based on nonequilibrium DMFT
Mechanisms for realizing nonthermal electronically ordered state
Selective melting of orders in systems with coexisting order
Entropy cooling: allows to cool down long-lived charge carriers(e. g. doublons/holons in large gap Mott insulators
Entropy trapping: thermalization bottleneck prevents heatin
ExamplesSpin and composite orders from nonthermal meltin
Transient excitonic order without “Mexican hat potential”
Superconductivity in negative-T repulsive system⌘ pairing in “cold” photo-doped Mott state
Chiral superconductivity in geometrically frustrated Mott system
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