Extended time-dependent Ginzburg-Landau theory
arXiv:1906.02097 · doi:10.1007/s10909-021-02580-0
Abstract
We formulate the gauge invariant Lorentz covariant Ginzburg-Landau theory which describes nonstationary regimes: relaxation of a superconducting system accompanied by eigen oscillations of internal degrees of freedom (Higgs mode and Goldstone mode), and also forced oscillations under the action of an external gauge field. The theory describes Lorentz covariant electrodynamics of superconductors where Anderson-Higgs mechanism occurs, at the same time the dynamics of conduction electrons remains non-relativistic. It is demonstrated that Goldstone oscillations cannot be accompanied by oscillations of charge density and they generate the transverse field only. In addition, we consider Goldstone modes and features of Anderson-Higgs mechanism in two-band superconductors. We study dissipative processes, which are caused by movement of the normal component of electron liquid and violate the Lorentz covariance, on the examples of the damped oscillations of the order parameter and the skin-effect for electromagnetic waves. An experimental consequence of the extended time-dependent Ginzburg-Landau theory regarding the penetration of the electromagnetic field into a superconductor is proposed.
31 pages, 8 figures,. arXiv admin note: text overlap with arXiv:cond-mat/0006070, arXiv:cond-mat/0312619 by other authors
References in corpus (5)
- Higgs Mode in Superconductors
- Observation of Leggett's collective mode in a multi-band MgB2 superconductor
- Attempts to test an alternative electrodynamic theory of superconductors by low-temperature scanning tunneling and atomic force microscopy
- Higgs modes in proximized superconducting systems
- Proposed experimental test of an alternative electrodynamic theory of superconductors
Cited by in corpus (6)
- Collective dynamics and the Anderson-Higgs mechanism in a bona fide holographic superconductor
- Electrodynamics of superconductors: from Lorentz to Galilei at zero temperature
- Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics
- Collective excitations in two-band superconductors
- Solitonic self-sustained charge and energy transport on the superconducting cylinder
- Mesoscopic superfluid to superconductor transition