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

Abstract

Here, 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 vF/√2 through BCS-BEC crossover. We also discuss the topological AΦ term in the effective action.

Authors:
 [1]; ORCiD logo [2]
  1. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
OSTI Identifier:
1483525
Report Number(s):
LA-UR-18-23263
Journal ID: ISSN 1063-777X
Grant/Contract Number:  
89233218CNA000001; AC52-06NA25396; SC0014402; PHY-1125915
Resource Type:
Accepted Manuscript
Journal Name:
Low Temperature Physics
Additional Journal Information:
Journal Volume: 44; Journal Issue: 6; Journal ID: ISSN 1063-777X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BCS-BEC transition

Citation Formats

Chubukov, Andrey V., and Mozyrsky, Dmitry. Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: The variational approach. United States: N. p., 2018. Web. doi:10.1063/1.5037555.
Chubukov, Andrey V., & Mozyrsky, Dmitry. Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: The variational approach. United States. doi:10.1063/1.5037555.
Chubukov, Andrey V., and Mozyrsky, Dmitry. Wed . "Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: The variational approach". United States. doi:10.1063/1.5037555. https://www.osti.gov/servlets/purl/1483525.
@article{osti_1483525,
title = {Evolution of the dynamics of neutral superconductors between BCS and BEC regimes: The variational approach},
author = {Chubukov, Andrey V. and Mozyrsky, Dmitry},
abstractNote = {Here, 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 vF/√2 through BCS-BEC crossover. We also discuss the topological AΦ term in the effective action.},
doi = {10.1063/1.5037555},
journal = {Low Temperature Physics},
number = 6,
volume = 44,
place = {United States},
year = {2018},
month = {4}
}

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Works referenced in this record:

BCS–BEC crossover: From high temperature superconductors to ultracold superfluids
journal, June 2005


The motion of flux lines in type II superconductors
journal, September 1966

  • Nozières, P.; Vinen, W. F.
  • The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, Vol. 14, Issue 130
  • DOI: 10.1080/14786436608211964

BCS to Bose crossover: Broken-symmetry state
journal, June 1997

  • Engelbrecht, Jan R.; Randeria, Mohit; Sáde Melo, C. A. R.
  • Physical Review B, Vol. 55, Issue 22
  • DOI: 10.1103/PhysRevB.55.15153

Reentrant BCS-BEC Crossover and a Superfluid-Insulator Transition in Optical Lattices
journal, December 2012


Effective action approach to the Leggett's mode in two-band superconductors
journal, November 2002


Phase fluctuations, dissipation, and superfluid stiffness in d -wave superconductors
journal, April 2001


Low-energy phase-only action in a superconductor: A comparison with the XY model
journal, May 2004


Crossover from BCS-superconductivity to Bose-condensation
journal, January 1992


Two-band superfluidity from the BCS to the BEC limit
journal, October 2006


Shape Resonances in superconducting gaps in a 2DEG at oxide- oxide interface
journal, August 2014


Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
journal, May 1985

  • Nozi�res, P.; Schmitt-Rink, S.
  • Journal of Low Temperature Physics, Vol. 59, Issue 3-4
  • DOI: 10.1007/BF00683774

Bound states, Cooper pairing, and Bose condensation in two dimensions
journal, February 1989


Resonant and crossover phenomena in a multiband superconductor: Tuning the chemical potential near a band edge
journal, November 2010


Phase fluctuations in superconductors: From Galilean invariant to quantum XY models
journal, September 2001


Ultra-cold polarized Fermi gases
journal, October 2010


Phase fluctuations and pseudogap phenomena
journal, July 2001


Superconductivity in an electron band just above the Fermi level: possible route to BCS-BEC superconductivity
journal, February 2014

  • Okazaki, K.; Ito, Y.; Ota, Y.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep04109

Insulator, metal, or superconductor: The criteria
journal, April 1993

  • Scalapino, Douglas J.; White, Steven R.; Zhang, Shoucheng
  • Physical Review B, Vol. 47, Issue 13
  • DOI: 10.1103/PhysRevB.47.7995

Vortex Dynamics and the Hall Anomaly: A Microscopic Analysis
journal, November 1995

  • van Otterlo, Anne; Feigel'man, Mikhail; Geshkenbein, Vadim
  • Physical Review Letters, Vol. 75, Issue 20
  • DOI: 10.1103/PhysRevLett.75.3736

Theory of fluctuation conductivity from interband pairing in pnictide superconductors
journal, May 2009


Phase Fluctuations and BCS-LP Crossover in 2D Short Coherence Length Superconductors
journal, March 2000


Band-edge BCS–BEC crossover in a two-band superconductor: physical properties and detection parameters
journal, October 2014


Superconductivity in a two-dimensional Fermi gas: Evolution from Cooper pairing to Bose condensation
journal, January 1990


Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
journal, November 2014

  • Kasahara, Shigeru; Watashige, Tatsuya; Hanaguri, Tetsuo
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 46
  • DOI: 10.1073/pnas.1413477111

Spectral Flow in Vortex Dynamics of 3 He-B and Superconductors
journal, December 1995


Spectral flow, Magnus force, and mutual friction via the geometric optics limit of Andreev reflection
journal, November 1996


Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
journal, August 2015


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Observation of pseudogap behaviour in a strongly interacting Fermi gas
journal, July 2010

  • Gaebler, J. P.; Stewart, J. T.; Drake, T. E.
  • Nature Physics, Vol. 6, Issue 8
  • DOI: 10.1038/nphys1709

Structure of Vortex Lines in Pure Superconductors
journal, November 1969


Mutual friction in superfluid He 3 : Effects of bound states in the vortex core
journal, November 1991


Dynamics and effective actions of BCS superconductors
journal, July 1999

  • van Otterlo, A.; Golubev, D. S.; Zaikin, A. D.
  • The European Physical Journal B, Vol. 10, Issue 1
  • DOI: 10.1007/s100510050836

Calculation of Partition Functions
journal, July 1959


Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory
journal, November 1993

  • Sá de Melo, C. A. R.; Randeria, Mohit; Engelbrecht, Jan R.
  • Physical Review Letters, Vol. 71, Issue 19
  • DOI: 10.1103/PhysRevLett.71.3202

Tuning across the BCS-BEC crossover in the multiband superconductor Fe 1+ y Se x Te 1− x : An angle-resolved photoemission study
journal, April 2017


Quasiparticle Scattering by Quantum Phase Slips in One-Dimensional Superfluids
journal, August 2004


From effective BCS action to vortex dynamics
journal, April 1997

  • Volovik, G. E.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 65, Issue 8
  • DOI: 10.1134/1.567405

Superfluid transition temperature in a trapped gas of Fermi atoms with a Feshbach resonance
journal, March 2003


Fermi Liquid Theory of Dilute Submonolayer 3He on Thin 4He II Film: Dimer Bound State and Cooper Pairs
journal, June 1983


Effective Lagrangians for BCS superconductors at T =0
journal, March 1995


Origin of the Magnus force on a vortex in fermion superfluids and superconductors
journal, October 1995


Crossover from Bardeen-Cooper-Schrieffer to Bose-Einstein Condensation and the Unitary Fermi Gas
journal, March 2014


Current-current Fermi-liquid corrections to the superconducting fluctuations on conductivity and diamagnetism
journal, January 2012


Nernst effect from fluctuating pairs in the pseudogap phase of the cuprates
journal, January 2011


Superfluid Precursor Effects in a Model of Hybridized Bosons and Fermions
journal, May 1995


Superconductivity in a system with preformed pairs
journal, February 1997


Theory of the Motion of Vortices in Superconductors
journal, November 1965


Reply to “Comment on ‘Diamagnetism and Cooper pairing above T c in cuprates' ”
journal, February 2013


Vortices in superconducting films: Statistics and fractional quantum Hall effect
journal, March 1996