THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE

Based on the BCS Hamiltonian, the normal-to-super phase transition is investigated, approaching the critical temperature T(c) from the high temperature side. Non-zero momentum Cooper pairs, that is, pairs of electrons (holes) with antiparallel spins and nearly opposite momenta above T(c) in the bulk...

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Authors: FUJITA, S, KIMURA, T, ZHENG, Y, GODOY, S
Format: article
Status:Published version
Publication Date:1992
Country:México
Institution:Universidad Nacional Autónoma de México
Repository:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3511
Online Access:http://hdl.handle.net/11154/3511
Access Level:Open access
Keyword:Physics, Multidisciplinary
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spelling THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATUREFUJITA, SKIMURA, TZHENG, YGODOY, SPhysics, MultidisciplinaryBased on the BCS Hamiltonian, the normal-to-super phase transition is investigated, approaching the critical temperature T(c) from the high temperature side. Non-zero momentum Cooper pairs, that is, pairs of electrons (holes) with antiparallel spins and nearly opposite momenta above T(c) in the bulk limit, are shown to move like free bosons with the energy (epsilon)-momentum (p) relation epsilon = 1/2nu(F)p, where nu(F) represents the Fermi velocity. The system of free Cooper pairs undergoes a phase transition of the second order at the critical temperature T(c) given by k(B)T(c) = 1.00856HBARnu(F)n1/3, where n is the number density of Cooper pairs. The ratio of the jump of the heat capacity, DELTAC, to the maximum heat capacity, C(s), is a universal constant: DELTAC/C(s) = 0.60874this number is close to the universal constant 0.588 obtained by the finite-temperature BCS theory.2011-01-22T10:28:36Z2011-01-22T10:28:36Z1992info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0035-001Xhttp://hdl.handle.net/11154/3511338738(6):914-928reponame:Sistema de Información de la Facultad de Ciencias, UNAMinstname:Universidad Nacional Autónoma de Méxicoinstacron:UNAMenRevista Mexicana De Fisicainfo:eu-repo/semantics/openAccessoai:repositorio.fciencias.unam.mx:11154/35112025-09-17T19:21:48Z
dc.title.none.fl_str_mv THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
title THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
spellingShingle THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
FUJITA, S
Physics, Multidisciplinary
title_short THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
title_full THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
title_fullStr THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
title_full_unstemmed THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
title_sort THEORY OF SUPERCONDUCTIVITY - NEW FORMULA FOR THE CRITICAL-TEMPERATURE
dc.creator.none.fl_str_mv FUJITA, S
KIMURA, T
ZHENG, Y
GODOY, S
author FUJITA, S
author_facet FUJITA, S
KIMURA, T
ZHENG, Y
GODOY, S
author_role author
author2 KIMURA, T
ZHENG, Y
GODOY, S
author2_role author
author
author
dc.subject.none.fl_str_mv Physics, Multidisciplinary
topic Physics, Multidisciplinary
description Based on the BCS Hamiltonian, the normal-to-super phase transition is investigated, approaching the critical temperature T(c) from the high temperature side. Non-zero momentum Cooper pairs, that is, pairs of electrons (holes) with antiparallel spins and nearly opposite momenta above T(c) in the bulk limit, are shown to move like free bosons with the energy (epsilon)-momentum (p) relation epsilon = 1/2nu(F)p, where nu(F) represents the Fermi velocity. The system of free Cooper pairs undergoes a phase transition of the second order at the critical temperature T(c) given by k(B)T(c) = 1.00856HBARnu(F)n1/3, where n is the number density of Cooper pairs. The ratio of the jump of the heat capacity, DELTAC, to the maximum heat capacity, C(s), is a universal constant: DELTAC/C(s) = 0.60874
publishDate 1992
dc.date.none.fl_str_mv 1992
2011-01-22T10:28:36Z
2011-01-22T10:28:36Z
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 0035-001X
http://hdl.handle.net/11154/3511
3387
identifier_str_mv 0035-001X
3387
url http://hdl.handle.net/11154/3511
dc.language.none.fl_str_mv en
language_invalid_str_mv en
dc.relation.none.fl_str_mv Revista Mexicana De Fisica
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv 38(6):914-928
reponame:Sistema de Información de la Facultad de Ciencias, UNAM
instname:Universidad Nacional Autónoma de México
instacron:UNAM
instname_str Universidad Nacional Autónoma de México
instacron_str UNAM
institution UNAM
reponame_str Sistema de Información de la Facultad de Ciencias, UNAM
collection Sistema de Información de la Facultad de Ciencias, UNAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1858175098959167488
score 15,812455

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