Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field
By: by Pierre Bouillot
Contributors: SpringerLink (Online service)
Series: Springer Theses, Recognizing Outstanding Ph.D. Research
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 98
ISBN-13: 9783642338083
Subjects: Quantum theory; Solid state physics; Numerical and Computational Physics; Physics; Spintronics Quantum Information Technology
Description: This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy. A comparison between the theory and experiment then enables these systems to be used as quantum simulators; for example, to test various generic properties of low dimensional systems such as Luttinger liquid physics, the paradigm of one dimensional interacting quantum systems. Application of these techniques to a material made of weakly coupled ladders (BPCB) allowed the first quantitative test of Luttinger liquids. In addition, other physical quantities (magnetization, specific heat etc.), and more remarkably the spin-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatively assess the dynamics for this class of quantum systems.
Table of contents: title: Introduction; title: Spin-1/2 ladders; title: Methods; title: Static properties and NMR relaxation rate; title: Dynamical correlations of a spin ladder; title: Conclusions and perspectives.