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Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is…

Superconductivity · Physics 2016-11-23 Flavio S. Nogueira , Hagen Kleinert

We derive the effective Ginzburg-Landau theory for finite momentum (FFLO/PDW) superconductivity without spin population imbalance from a model with local attraction and repulsive pair-hopping. We find that the GL free energy must include up…

Superconductivity · Physics 2018-12-10 Jonatan Wårdh , Mats Granath , Brian M. Andersen

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

We consider the phase transition in a model which consists of a Ginzburg-Landau free energy for superconductors including a Chern-Simons term. The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292 (1974)] is applied…

Superconductivity · Physics 2010-12-17 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

The superconductive phase transition in the Ginzburg-Landau theory (or Coulomb-Higgs phase transition of scalar QED in 3D) is discussed in a dual formulation which focuses on the magnetic rather than the electric excitations of the system.…

supr-con · Physics 2008-02-03 Hagen Kleinert , Adriaan Schakel

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls

The time-dependent Ginzburg-Landau approach is used to calculate the complex fluctuation conductivity in layered type-II superconductor under magnetic field. Layered structure of the superconductor is accounted for by means of the…

Superconductivity · Physics 2014-03-21 B. D. Tinh , L. M. Thu , L. V. Hoa

In this work we start from the assumption that normal solid to supersolid (NS-SS) phase transition is continuous, and develop a phenomenological Landau theory of the transition in which superfluidity is coupled to the elasticity of the…

Soft Condensed Matter · Physics 2013-05-29 Alan T. Dorsey , Paul M. Goldbart , John Toner

Superconducting phase transitions in strongly type-II superconductors in the Pauli paramagnetic limit are considered within the framework of the Gorkov-Ginzburg-Landau approach in the lowest Landau level approximation for both s and d-wave…

Superconductivity · Physics 2007-12-27 T. Maniv , V. Zhuravlev

Holographic superfluids/superconductors are one of the most studied systems in the AdS/CFT duality. In the low-energy, in the long-wavelength limit, they should be described by a Ginzburg-Landau theory. For critical dynamics, one expects…

High Energy Physics - Theory · Physics 2026-05-21 Makoto Natsuume

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We propose an effective Ginzburg-Landau energy functional for superfluid helium that is motivated by the ideal Bose gas model. The parameters of this phenomenological model are adjusted to known properties of the bulk system. The motivation…

Condensed Matter · Physics 2007-05-23 T. Fliessbach

A free-energy minimization approach is used to address the secular & dynamical instabilities & the bifurcations along sequences of rotating, self-gravitating fluid and stellar systems. Our approach stems from the Landau-Ginzburg theory of…

Astrophysics · Physics 2009-10-22 D. M. Christodoulou , D. Kazanas , I. Shlosman , J. E. Tohline

The methods for studying the role of vortex loops in the phase transition of the Ginzburg-Landau theory of superconductivity using lattice Monte Carlo simulations are discussed. Gauge-invariant observables that measure the properties of the…

Condensed Matter · Physics 2009-10-31 A. Rajantie

The thermodynamic and kinetic anomalies of supercooled liquids are analyzed from the perspective of energy landscapes. A mean field model, a generalized random energy model of liquids is developed, which exhibits a dynamical transition of…

Soft Condensed Matter · Physics 2009-11-10 Masaki Sasai

The long-time behavior of the solutions for a non-isothermal model in superfluidity is investigated. The model describes the transition between the normal and the superfluid phase in liquid 4He by means of a non-linear differential system,…

Mathematical Physics · Physics 2011-02-08 Alessia Berti , Valeria Berti , Ivana Bochicchio

We propose a simple Ginzburg-Landau free energy to describe the magnetic phase transition in solid $^3$He. The free energy is analyzed with due consideration of the hard first order transitions at low magnetic fields. The resulting phase…

Condensed Matter · Physics 2009-10-22 J. Dubois , P. Kumar

We study thermal phase transitions of color superconductivity by the lattice simulations of the Ginzburg-Landau (GL) effective theory. The theory is equivalent to the SU_ f(3) cross SU_c(3) Higgs model coupled to SU_c(3) color gauge fields.…

High Energy Physics - Lattice · Physics 2007-05-23 Sanatan Digal , Tetsuo Hatsuda , Munehisa Ohtani

Em geral, quando a teoria fenomenol\'ogica de Ginzburg-Landau para supercondutores \'e trabalhada, pouco se esclarece aos alunos sobre a origem da mesma. Esta tem como base conceitos termodin\^amicos como fen\^omenos cr\'iticos e…

History and Philosophy of Physics · Physics 2015-05-07 Rafael Zadorosny , Alice Presotto , Elwis C. S. Duarte , Edson Sardella

The d-dimensional complex Ginzburg-Landau (GL) model is solved according to a variational method by separating phase and amplitude. The GL transition becomes first order for high superfluid density because of effects of phase fluctuations.…

Statistical Mechanics · Physics 2009-10-31 Philippe Curty , Hans Beck