Effective Lagrangians for BCS superconductors at T=0

We show that the low frequency, long wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent non-linear Schr\"odinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of...

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Detalles Bibliográficos
Autores principales: Aitchison, Ian J.R., Ao, Ping, Thouless, David J., Zhu, X.-M.
Lenguaje:eng
Publicado: 1994
Materias:
Condensed Matter
Acceso en línea:https://dx.doi.org/10.1103/PhysRevB.51.6531
http://cds.cern.ch/record/271948
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author Aitchison, Ian J.R.
Ao, Ping
Thouless, David J.
Zhu, X.-M.
author_facet Aitchison, Ian J.R.
Ao, Ping
Thouless, David J.
Zhu, X.-M.
author_sort Aitchison, Ian J.R.
collection CERN
description We show that the low frequency, long wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent non-linear Schr\"odinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of the pair field is also allowed to vary, the system is equivalent to two coupled TDNLSL's. We also refer the interested reader to our earlier paper, `Nonlinear Schrodinger equation for superconductors, /cond-mat/9312099 (http://xxx.lanl.gov/abs/cond-mat/9312099 ), for a different line of derivation
id cern-271948
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2719482021-10-22T05:51:38Zdoi:10.1103/PhysRevB.51.6531http://cds.cern.ch/record/271948engAitchison, Ian J.R.Ao, PingThouless, David J.Zhu, X.-M.Effective Lagrangians for BCS superconductors at T=0Condensed MatterWe show that the low frequency, long wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent non-linear Schr\"odinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of the pair field is also allowed to vary, the system is equivalent to two coupled TDNLSL's. We also refer the interested reader to our earlier paper, `Nonlinear Schrodinger equation for superconductors, /cond-mat/9312099 (http://xxx.lanl.gov/abs/cond-mat/9312099 ), for a different line of derivationWe show that the low-frequency, long-wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent nonlinear Schrödinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of the pair field is also allowed to vary, the system is equivalent to two coupled TDNLSL’s.We show that the low frequency, long wavelength dynamics of the phase of the pair field for a BCS-type s-wave superconductor at T=0 is equivalent to that of a time-dependent non-linear Schr\"odinger Lagrangian (TDNLSL), when terms required by Galilean invariance are included. If the modulus of the pair field is also allowed to vary, the system is equivalent to two coupled TDNLSL's. We also refer the interested reader to our earlier paper, `Nonlinear Schrodinger equation for superconductors' [cond-mat/9312099], for a different line of derivationcond-mat/9411047CERN-TH.7385-94oai:cds.cern.ch:2719481994-11-12
spellingShingle Condensed Matter
Aitchison, Ian J.R.
Ao, Ping
Thouless, David J.
Zhu, X.-M.
Effective Lagrangians for BCS superconductors at T=0
title Effective Lagrangians for BCS superconductors at T=0
title_full Effective Lagrangians for BCS superconductors at T=0
title_fullStr Effective Lagrangians for BCS superconductors at T=0
title_full_unstemmed Effective Lagrangians for BCS superconductors at T=0
title_short Effective Lagrangians for BCS superconductors at T=0
title_sort effective lagrangians for bcs superconductors at t=0
topic Condensed Matter
url https://dx.doi.org/10.1103/PhysRevB.51.6531
http://cds.cern.ch/record/271948
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AT thoulessdavidj effectivelagrangiansforbcssuperconductorsatt0
AT zhuxm effectivelagrangiansforbcssuperconductorsatt0

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