Universal time-dependent Ginzburg-Landau theory

Kapustin, Anton; Mrini, Luke

doi:10.1103/physrevb.107.144514

Universal time-dependent Ginzburg-Landau theory

Journal Article · Wed Apr 26 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.107.144514· OSTI ID:2222924

Kapustin, Anton ^[1]; ^[2]

California Institute of Technology, Pasadena, CA (United States); California Institute of Technology
College of William and Mary, Williamsburg, VA (United States)

We study the hydrodynamics of superconductors within the framework of Schwinger-Keldysh effective field theory (EFT). We show that in the vicinity of the superconducting phase transition the most general leading-order EFT satisfying the local Kubo-Martin-Schwinger condition is described by a version of the time-dependent Ginzburg-Landau (TDGL) equations augmented with stochastic terms. This version of TDGL is applicable in the gapless regime independent of any microscopic details. Within this approach, it is possible to include systematically the effects of nonuniform temperature and heat conductivity, as well as explicit or spontaneous breaking of time reversal. Here, we also introduce a thermal version of the Josephson relation and use it to construct an exotic hydrodynamics describing a phase of matter where heat can flow without dissipation.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology, Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632

OSTI ID:: 2222924

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 14 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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