Question: What prize did the man who used the ideas of Lars Onsager in 1957 to describe the magnetic phase diagram of type-II superconductors in 2003?

full_context: Document 1: Quantum vortex: In physics, a quantum vortex represents a quantized flux circulation of some physical quantity. In most cases quantum vortices are a type of topological defect exhibited in superfluids and superconductors. The existence of quantum vortices was predicted by Lars Onsager in 1947 in connection with superfluid helium. Onsager also pointed out that quantum vortices describe the circulation of superfluid and conjectured that their excitations are responsible for superfluid phase transitions. These ideas of Onsager were further developed by Richard Feynman in 1955 and in 1957 were applied to describe the magnetic phase diagram of type-II superconductors by Alexei Alexeyevich Abrikosov. In 1935 Fritz London published a very closely related work on magnetic flux quantization in superconductors. London's fluxoid can also be viewed as a quantum vortex.
Document 2: Pinning force: Pinning force is a force acting on a pinned object from a pinning center. In solid state physics, this most often refers to the vortex pinning, the pinning of the magnetic vortices (magnetic flux quanta, Abrikosov vortices) by different kinds of the defects in a type II superconductor. Important quantities are the "individual" maximal pinning force, which defines the depinning of a single vortex, and an "average" pinning force, which defines the depinning of the correlated vortex structures and can be associated with the critical current density (the maximal density of non-dissipative current). The interaction of the correlated vortex lattice with system of pinning centers forms the magnetic phase diagram of the vortex matter in superconductors. This phase diagram is especially rich for high temperature superconductors (HTSC) where the thermo-activation processes are essential.
Document 3: Cosmic string: Cosmic strings are hypothetical 1-dimensional topological defects which may have formed during a symmetry breaking phase transition in the early universe when the topology of the vacuum manifold associated to this symmetry breaking was not simply connected. It is expected that at least one string per Hubble volume is formed. Their existence was first contemplated by the theoretical physicist Tom Kibble in the 1970s.
Document 4: Superfluid film: Superfluidity and superconductivity are macroscopic manifestations of quantum mechanics. There is considerable interest, both theoretical and practical, in these quantum phase transitions. There has been a tremendous amount of work done in the field of phase transitions and critical phenomenon in two dimensions. Much of the interest in this field is because as the number of dimensions increases, the number of exactly solvable models diminishes drastically. In three or more dimensions one must resort to a mean field theory approach. The theory of superfluid transitions in two dimensions is known as the Kosterlitz-Thouless (KT) theory. The 2D XY model - where the order parameter is characterized by an amplitude and a phase - is the universality class for this transition.
Document 5: J. Michael Kosterlitz: John Michael Kosterlitz (born June 22, 1943) is a British born Anglo-American physicist. He is a professor of physics at Brown University and the son of biochemist Hans Kosterlitz. He was awarded the 2016 Nobel Prize in physics along with David Thouless and Duncan Haldane for work on condensed matter physics.
Document 6: David J. Thouless: David James Thouless {'1': ", '2': ", '3': ", '4': "} ( , born 21 September 1934) is a British condensed-matter physicist. He is a winner of the Wolf Prize and laureate of the 2016 Nobel Prize for physics along with F. Duncan M. Haldane and J. Michael Kosterlitz for theoretical discoveries of topological phase transitions and topological phases of matter. In 2016, Thouless was reported to be suffering from dementia.
Document 7: Lev Landau: Lev Davidovich Landau (Russian: Лев Дави́дович Ланда́у ; ] ; January 22 [O.S. January 9] 1908 1 April 1968) was a Soviet physicist who made fundamental contributions to many areas of theoretical physics. His accomplishments include the independent co-discovery of the density matrix method in quantum mechanics (alongside John von Neumann), the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second-order phase transitions, the Ginzburg–Landau theory of superconductivity, the theory of Fermi liquid, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, the two-component theory of neutrinos, and Landau's equations for "S" matrix singularities. He received the 1962 Nobel Prize in Physics for his development of a mathematical theory of superfluidity that accounts for the properties of liquid helium II at a temperature below ( ).
Document 8: BCS theory: BCS theory or Bardeen–Cooper–Schrieffer theory (named after John Bardeen, Leon Cooper, and John Robert Schrieffer) is the first microscopic theory of superconductivity since Heike Kamerlingh Onnes's 1911 discovery. The theory describes superconductivity as a microscopic effect caused by a condensation of Cooper pairs into a boson-like state. The theory is also used in nuclear physics to describe the pairing interaction between nucleons in an atomic nucleus.
Document 9: Douglas Osheroff: Douglas Dean Osheroff (born August 1, 1945) is a physicist known for his work in experimental condensed matter physics, in particular for his co-discovery of superfluidity in Helium-3. For his contributions he shared the 1996 Nobel Prize in Physics along with David Lee and Robert C. Richardson.
Document 10: Type-1.5 superconductor: Type-1.5 superconductors are multicomponent superconductors characterized by two or more coherence lengths, at least one of which is shorter than the magnetic field penetration length formula_1, and at least one of which is longer. This is in contrast to singe-component superconductors, where there is only one coherence length formula_2 and the superconductor is necessarily either type 1 (formula_3) or type 2 (formula_4) (often a coherence length is defined with extra formula_5 factor, with such a definition the corresponding inequalities are formula_6 and formula_7). When placed in magnetic field, type-1.5 superconductors should form quantum vortices: magnetic-flux-carrying excitations. They allow magnetic field to pass through superconductors due to a vortex-like circulation of superconducting particles (electronic pairs). In type-1.5 superconductors these vortices have long-range attractive, short-range repulsive interaction. As a consequence a type-1.5 superconductor in a magnetic field can form a phase separation into domains with expelled magnetic field and clusters of quantum vortices which are bound together by attractive intervortex forces. The domains of the Meissner state retain the two-component superconductivity, while in the vortex clusters one of the superconducting components is suppressed. Thus such materials should allow coexistence of various properties of type-I and type-II superconductors.
Document 11: Brian Josephson: Brian David Josephson, {'1': ", '2': ", '3': ", '4': "} (born 4 January 1940), is a Welsh theoretical physicist and professor emeritus of physics at the University of Cambridge. Best known for his pioneering work on superconductivity and quantum tunnelling, he was awarded the Nobel Prize in Physics in 1973 for his prediction of the Josephson effect, made in 1962 when he was a 22-year-old PhD student at Cambridge University. Josephson is the only Welshman to have won a Nobel Prize in Physics. He shared the prize with physicists Leo Esaki and Ivar Giaever, who jointly received half the award for their own work on quantum tunnelling.
Document 12: Alexei Alexeyevich Abrikosov: Alexei Alexeyevich Abrikosov (Russian: Алексе́й Алексе́евич Абрико́сов ; 25 June 1928 – 29 March 2017) was a Soviet, Russian and American theoretical physicist whose main contributions are in the field of condensed matter physics. He was awarded the Nobel Prize in Physics in 2003.
Document 13: Nikolay Basov: Nikolay Gennadiyevich Basov (Russian: Никола́й Генна́диевич Ба́сов ; 14 December 1922 – 1 July 2001) was a Soviet physicist and educator. For his fundamental work in the field of quantum electronics that led to the development of laser and maser, Basov shared the 1964 Nobel Prize in Physics with Alexander Prokhorov and Charles Hard Townes.
Document 14: Type-II superconductor: In superconductivity, a type-II superconductor is characterized by the formation of magnetic vortices in an applied magnetic field. This occurs above a certain critical field strength "H". The vortex density increases with increasing field strength. At a higher critical field "H", superconductivity is destroyed. Type-II superconductors do not exhibit a complete Meissner effect.
Document 15: Abrikosov vortex: In superconductivity, an Abrikosov vortex is a vortex of supercurrent in a type-II superconductor theoretically predicted by Alexei Abrikosov in 1957. The supercurrent circulates around the normal (i.e. non-superconducting) core of the vortex. The core has a size formula_1 — the superconducting coherence length (parameter of a Ginzburg-Landau theory). The supercurrents decay on the distance about formula_2 (London penetration depth) from the core. Note that in type-II superconductors formula_3. The circulating supercurrents induce magnetic fields with the total flux equal to a single flux quantum formula_4. Therefore, an Abrikosov vortex is often called a fluxon.
ground_truth: Nobel Prize in Physics