Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach

We use variational approach to analyze the evolution of the dynamics of a neutral s-wave superconductor between BCS and BEC regimes. We consider 2D case, when BCS–BEC crossover occurs already at weak coupling and is governed by the ratio of the two scales — the Fermi energy EF and the bound state en...

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Опубліковано в: :Физика низких температур
Дата:2018
Автори: Chubukov, A.V., Mozyrsky, D.
Формат: Стаття
Мова:Англійська
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/176148
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Цитувати:Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach / A.V. Chubukov, D. Mozyrsky // Физика низких температур. — 2018. — Т. 44, № 6. — С. 684-690. — Бібліогр.: 42 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Chubukov, A.V.
Mozyrsky, D.
author_facet Chubukov, A.V.
Mozyrsky, D.
citation_txt Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach / A.V. Chubukov, D. Mozyrsky // Физика низких температур. — 2018. — Т. 44, № 6. — С. 684-690. — Бібліогр.: 42 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description We use variational approach to analyze the evolution of the dynamics of a neutral s-wave superconductor between BCS and BEC regimes. We consider 2D case, when BCS–BEC crossover occurs already at weak coupling and is governed by the ratio of the two scales — the Fermi energy EF and the bound state energy for two fermions in a vacuum, E₀. BCS and BEC regimes correspond to EF >> E₀ and EF << E₀, respectively. We compute the spectrum of low-energy bosonic excitations and show that the velocity of phase fluctuations remains υF / √2 through BCS–BEC crossover. We also discuss the topological Aφ ̇ term in the effective action.
first_indexed 2025-11-26T21:41:37Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-26T21:41:37Z
publishDate 2018
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Chubukov, A.V.
Mozyrsky, D.
2021-02-03T19:01:53Z
2021-02-03T19:01:53Z
2018
Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach / A.V. Chubukov, D. Mozyrsky // Физика низких температур. — 2018. — Т. 44, № 6. — С. 684-690. — Бібліогр.: 42 назв. — англ.
0132-6414
PACS: 74.20.Fg, 74.25.Вt, 74.78.–w
https://nasplib.isofts.kiev.ua/handle/123456789/176148
We use variational approach to analyze the evolution of the dynamics of a neutral s-wave superconductor between BCS and BEC regimes. We consider 2D case, when BCS–BEC crossover occurs already at weak coupling and is governed by the ratio of the two scales — the Fermi energy EF and the bound state energy for two fermions in a vacuum, E₀. BCS and BEC regimes correspond to EF >> E₀ and EF << E₀, respectively. We compute the spectrum of low-energy bosonic excitations and show that the velocity of phase fluctuations remains υF / √2 through BCS–BEC crossover. We also discuss the topological Aφ ̇ term in the effective action.
We thank I. Aleiner, J.J. Dziarmaga, I. Martin, M. Stone,
 J. Sauls, D. Solenov, and G.E. Volovik for valuable discussions. The work at Los Alamos was performed under the
 auspices of the United States Department of Energy under
 Contract DE5AC52-06NA25396 and supported by LDRD
 and BES Grant No’s. 20170460ER and E3B7, respectively.
 The work by AVC was supported by the Office of Basic
 Energy Sciences U.S. Department of Energy under award
 DE-SC0014402. AVC is thankful to KITP at UCSB, where
 part of the work has been done. KITP is supported by NSF
 grant PHY-1125915.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
Article
published earlier
spellingShingle Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
Chubukov, A.V.
Mozyrsky, D.
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
title Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
title_full Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
title_fullStr Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
title_full_unstemmed Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
title_short Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: the variational approach
title_sort evolution of the dynamics of neutral superconductors between bcs and bec regimes: the variational approach
topic Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
topic_facet Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
url https://nasplib.isofts.kiev.ua/handle/123456789/176148
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AT mozyrskyd evolutionofthedynamicsofneutralsuperconductorsbetweenbcsandbecregimesthevariationalapproach