Universal time-dependent Ginzburg-Landau theory
- Creators
- Kapustin, Anton
- Mrini, Luke
Abstract
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. 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.
Additional Information
© 2023 American Physical Society. We are grateful to H. Liu for sharing with us his unpublished notes on the hydrodynamics of superconductors and for comments on the draft. L.M. would like to thank Caltech's Summer Undergraduate Research Fellowship program for their hospitality. This work was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, as well as by the Simons Investigator Award.Attached Files
Published - PhysRevB.107.144514.pdf
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Additional details
- Alternative title
- The Universal Time-Dependent Ginzburg-Landau theory
- Eprint ID
- 121570
- Resolver ID
- CaltechAUTHORS:20230526-436610000.5
- Caltech Summer Undergraduate Research Fellowship (SURF)
- DE-SC0011632
- Department of Energy (DOE)
- Simons Foundation
- Created
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2023-05-30Created from EPrint's datestamp field
- Updated
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2023-05-30Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics