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An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns [PDF]
, 2015 This paper presents an introduction to phase transitions and critical phenomena on the one hand, and nonequilibrium patterns on the other, using the Ginzburg-Landau theory as a unified language. In the first part, mean-field theory is presented, for both
Hohenberg, P. C., Krekhov, A. P.
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Microscopic derivation of Ginzburg-Landau theories for hierarchical quantum Hall states
SciPost Physics, 2020 We propose a Ginzburg-Landau theory for a large and important part of the abelian quantum Hall hierarchy, including the prominently observed Jain sequences.
Yoran Tournois, Maria Hermanns, Thors Hans Hansson
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Superheating field of superconductors within Ginzburg-Landau theory [PDF]
, 2010 We study the superheating field of a bulk superconductor within Ginzburg-Landau theory, which is valid near the critical temperature. We calculate, as functions of the Ginzburg-Landau parameter $\kappa$, the superheating field $\Hsh$ and the critical ...
Catelani, Gianluigi +2 more
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The Ginzburg-Landau theory in application [PDF]
, 2010 A numerical approach to Ginzburg-Landau (GL) theory is demonstrated and we review its applications to several examples of current interest in the research on superconductivity. This analysis also shows the applicability of the two-dimensional approach to
Abrikosov +20 more
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Ginzburg-Landau Theory of Flat-Band Superconductors with Quantum Metric. [PDF]
Physical Review Letters, 2023 Recent experimental studies unveiled highly unconventional phenomena in the superconducting twisted bilayer graphene (TBG) with ultraflat bands, which cannot be described by the conventional BCS theory.
Shuai A. Chen, K. T. Law
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Extracting quantum-geometric effects from Ginzburg-Landau theory in a multiband Hubbard model [PDF]
Physical review B, 2023 We first apply functional-integral approach to a multiband Hubbard model near the critical pairing temperature, and derive a generic effective action that is quartic in the fluctuations of the pairing order parameter.
M. Iskin
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Universal time-dependent Ginzburg-Landau theory [PDF]
Physical review B, 2022 We study the hydrodynamics of superconductors within the framework of Schwinger-Keldysh Effective Field Theory. We show that in the vicinity of the superconducting phase transition the most general leading-order EFT satisfying the local Kubo-Martin ...
A. Kapustin, Luke Mrini
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Condensed Matter, 2021 We calculate the parameters of the Ginzburg–Landau (GL) equation of a three-dimensional attractive Fermi gas around the superfluid critical temperature.
Filippo Pascucci +2 more
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Microscopic Ginzburg-Landau theory and singlet ordering in Sr2RuO4 [PDF]
Physical review B, 2020 The long-standing quest to determine the superconducting order of Sr$_2$RuO$_4$ (SRO) has received renewed attention after recent nuclear magnetic resonance (NMR) Knight shift experiments have cast doubt on the possibility of spin-triplet pairing in the ...
Glenn Wagner +3 more
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An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg-Landau Theory [PDF]
SIAM Journal on Scientific Computing, 2017 A generalization of vector fields, referred to as N-direction fields or cross fields when N = 4, has been recently introduced and studied for geometry processing, with applications in quadrilateral (quad) meshing, texture mapping, and parameterization ...
Ryan Viertel, B. Osting
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