Universal time-dependent Ginzburg-Landau theory

Kapustin, Anton; Mrini, Luke

doi:10.1103/physrevb.107.144514

Cited by 7 publications

(2 citation statements)

References 28 publications

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“…Inspired by the old Martin-Siggia-Rose formalism [84], ref. [85] recently showed how to separately construct the non-dissipative and dissipative KMS-invariant terms in the effective Lagrangian…”

Section: Novel Coefficientsmentioning

confidence: 99%

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Baggioli,

Bu,

Ziogas

2023

J. High Energ. Phys.

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We study the quasi-hydrodynamics of a system with a softly broken U(1) global symmetry using effective field theory (EFT) and holographic methods. In the gravity side, we consider a holographic Proca model in the limit of small bulk mass, which is responsible for a controllable explicit breaking of the U(1) global symmetry in the boundary field theory. We perform a holographic Schwinger-Keldysh analysis, which allows us to derive the form of the boundary effective action in presence of dissipation. We compare our results with the previously proposed EFT and hydrodynamic theories, and we confirm their validity by computing the low-energy quasi-normal modes spectrum analytically and numerically. Additionally, we derive the broken holographic Ward identity for the U(1) current, and discuss the recently proposed novel transport coefficients for systems with explicitly broken symmetries. The setup considered is expected to serve as a toy model for more realistic situations where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD, spin relaxation in relativistic systems, electric field relaxation in magneto-hydrodynamics, or momentum relaxation in condensed matter systems.

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Section: Novel Coefficientsmentioning

confidence: 99%

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Baggioli,

Bu,

Ziogas

2023

J. High Energ. Phys.

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“…With this, the DeGenenes parameter or extrapolation length is used as a boundary condition, proposed during half of the last century and which has been used to describe the interaction between different types of materials with single-band superconductors and whose generality is to describe the proximity effect in the system. However, in multi-band systems there is no expression that makes a simile with this important extrapolation parameter at the superconducting boundary [18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Aguirre,

Faúndez,

Díaz

et al. 2024

Preprint

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In this work, we study the proximity effects in a single-and two-band superconducting three-dimensional heterostructure, described by two condensates (condensate 1 and condensate 2) under the presence of an external magnetic field perpendicular to the heterostructure. The distance between the interface of both condensate is given by the parameter λ ′. We solve the time-dependent Ginzburg-Landau equations considering a Josephson-like coupling to explore properties such as magnetization, Gibbs free energy and the Abrikosov vortex state. We considered three cases, in the case 1: both condensates are composed by a single-band, case 2: the condensates are composed by two-bands and case 3: the condensate 1 has a single-band and the condensate 2 has two-bands. As a results, we highlight the variation of the first critical field and the novel vortex configuration induced by the proximity effect between the superconducting condensates. This phenomenon exerts a substantial influence on the arrangement of vortex in each of the superconducting bands.

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Nearly critical superfluids in Keldysh-Schwinger formalism

Donos,

Kailidis

2024

J. High Energ. Phys.

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We examine the effective theory of critical dynamics near superfluid phase transitions in the framework of the Keldysh-Schwinger formalism. We focus on the sector capturing the dynamics of the complex order parameter and the conserved current corresponding to the broken global symmetry. After constructing the theory up to quadratic order in the a-fields, we compare the resulting stochastic system with Model F as well as with holography. We highlight the role of a time independent gauge symmetry of the effective theory also known as “chemical shift”. Finally, we consider the limiting behaviour at energies much lower than the gap of the amplitude mode by integrating out the high energy degrees of freedom to reproduce the effective theory of superfluids.

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Universal time-dependent Ginzburg-Landau theory

Cited by 7 publications

References 28 publications

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Nearly critical superfluids in Keldysh-Schwinger formalism

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