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Title: Superfluid transition temperature and fluctuation theory of spin-orbit- and Rabi-coupled fermions with tunable interactions

Abstract

Here, we obtain the superfluid transition temperature of equal Rashba-Dresselhaus spin-orbit- and Rabi-coupled Fermi superfluids, from the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) regimes in three dimensions for tunable s-wave interactions. In the presence of Rabi coupling, we find that spin-orbit coupling enhances (reduces) the critical temperature in the BEC (BCS) limit. For fixed interactions, we show that spin-orbit coupling can convert a first-order (discontinuous) phase transition into a second-order (continuous) phase transition, as a function of Rabi coupling. We derive the Ginzburg-Landau free energy to sixth power in the superfluid order parameter to describe both continuous and discontinuous phase transitions as a function of spin-orbit and Rabi couplings. Lastly, we develop a time-dependent Ginzburg-Landau fluctuation theory for an arbitrary mixture of Rashba and Dresselhaus spin-orbit couplings at any interaction strength.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
  2. Univ. of Illinois at Urbana-Champaign, IL (United States)
  3. Georgia Institute of Technology, Atlanta, GA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1880961
Report Number(s):
LLNL-JRNL-821377
Journal ID: ISSN 2469-9926; 1032420; TRN: US2307792
Grant/Contract Number:  
AC52-07NA27344; PHY1305891; PHY1714042; PHY1066292; PHY1607611
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 105; Journal Issue: 6; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; Physics - Solid state physics, Physics - Condensed matter physics, Physics - Classical and quantum mechanics, general physics, Physics - Atomic and molecular physics

Citation Formats

Powell, Philip D., Baym, Gordon, and Sá de Melo, C. A. R. Superfluid transition temperature and fluctuation theory of spin-orbit- and Rabi-coupled fermions with tunable interactions. United States: N. p., 2022. Web. doi:10.1103/physreva.105.063304.
Powell, Philip D., Baym, Gordon, & Sá de Melo, C. A. R. Superfluid transition temperature and fluctuation theory of spin-orbit- and Rabi-coupled fermions with tunable interactions. United States. https://doi.org/10.1103/physreva.105.063304
Powell, Philip D., Baym, Gordon, and Sá de Melo, C. A. R. Mon . "Superfluid transition temperature and fluctuation theory of spin-orbit- and Rabi-coupled fermions with tunable interactions". United States. https://doi.org/10.1103/physreva.105.063304. https://www.osti.gov/servlets/purl/1880961.
@article{osti_1880961,
title = {Superfluid transition temperature and fluctuation theory of spin-orbit- and Rabi-coupled fermions with tunable interactions},
author = {Powell, Philip D. and Baym, Gordon and Sá de Melo, C. A. R.},
abstractNote = {Here, we obtain the superfluid transition temperature of equal Rashba-Dresselhaus spin-orbit- and Rabi-coupled Fermi superfluids, from the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) regimes in three dimensions for tunable s-wave interactions. In the presence of Rabi coupling, we find that spin-orbit coupling enhances (reduces) the critical temperature in the BEC (BCS) limit. For fixed interactions, we show that spin-orbit coupling can convert a first-order (discontinuous) phase transition into a second-order (continuous) phase transition, as a function of Rabi coupling. We derive the Ginzburg-Landau free energy to sixth power in the superfluid order parameter to describe both continuous and discontinuous phase transitions as a function of spin-orbit and Rabi couplings. Lastly, we develop a time-dependent Ginzburg-Landau fluctuation theory for an arbitrary mixture of Rashba and Dresselhaus spin-orbit couplings at any interaction strength.},
doi = {10.1103/physreva.105.063304},
journal = {Physical Review A},
number = 6,
volume = 105,
place = {United States},
year = {Mon Jun 06 00:00:00 EDT 2022},
month = {Mon Jun 06 00:00:00 EDT 2022}
}

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