Only-phase Popov action: thermodynamic derivation and superconducting electrodynamics

Abstract We provide a thermodynamic derivation of the only-phase Popov action functional, which is often adopted to study the low-energy effective hydrodynamics of a generic nonrelativistic superfluid. It is shown that the crucial assumption is the use of the saddle point approximation after neglect...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 57; no. 35; pp. 355302 - 355314
Main Authors Salasnich, L, Pelizzo, M G, Lorenzi, F
Format Journal Article
LanguageEnglish
Published IOP Publishing 20.09.2024
Subjects
electrodynamics
hydrodynamics
superconductors
superfluids
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Summary:Abstract We provide a thermodynamic derivation of the only-phase Popov action functional, which is often adopted to study the low-energy effective hydrodynamics of a generic nonrelativistic superfluid. It is shown that the crucial assumption is the use of the saddle point approximation after neglecting the quantum-pressure term. As an application, we analyze charged superfluids (superconductors) coupled to the electromagnetic field at zero temperature. Our only-phase and minimally-coupled theory predicts the decay of the electrostatic field inside a superconductor with a characteristic length much smaller than the London penetration depth of the static magnetic field. This result is confirmed also by a relativistic only-phase Popov action we obtain from the Klein–Gordon Lagrangian.
Bibliography:JPhysA-120816.R2
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad6ab3