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Title: Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid

Abstract

We theoretically investigate the superfluid density and Berezinskii-Kosterlitz-Thouless (BKT) transition of a two-dimensional Rashba spin-orbit-coupled atomic Fermi gas with both in-plane and out-of-plane Zeeman fields. It was recently predicted that, by tuning the two Zeeman fields, the system may exhibit different exotic Fulde-Ferrell (FF) superfluid phases, including the gapped FF, gapless FF, gapless topological FF, and gapped topological FF states. Due to the FF paring, we show that the superfluid density (tensor) of the system becomes anisotropic. When an in-plane Zeeman field is applied along the x direction, the tensor component along the y direction n s,yy is generally larger than n s,xx in most parameter space. At zero temperature, there is always a discontinuity jump in n s,xx as the system evolves from a gapped FF into a gapless FF state. With increasing temperature, such a jump is gradually washed out. The critical BKT temperature has been calculated as functions of the spin-orbit-coupling strength, interatomic interaction strength, and in-plane and out-of-plane Zeeman fields. We predict that the novel FF superfluid phases have a significant critical BKT temperature, typically at the order of 0.1T F, where T F is the Fermi degenerate temperature. Furthermore, their observation is within the reachmore » of current experimental techniques in cold-atom laboratories.« less

Authors:
 [1];  [2];  [3];  [4];  [2]
  1. Swinburne Univ. of Technology, Melbourne (Australia); Tsinghua Univ., Beijing (China)
  2. Swinburne Univ. of Technology, Melbourne (Australia)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Tsinghua Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (People's Republic of China); Tsinghua National Lab. for Information Science and Technology, Beijing (People's Republic of China)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1246948
Alternate Identifier(s):
OSTI ID: 1180966
Report Number(s):
LA-UR-14-27977
Journal ID: ISSN 1050-2947; PLRAAN
Grant/Contract Number:  
FT140100003; FT130100815; DP140103231; DP140100637; 11175094; 91221205; AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Berezinskii-Kosterlitz-Thouless transition; Fulde-Ferrell superfluidity; spin-orbit coupling

Citation Formats

Cao, Ye, Liu, Xia -Ji, He, Lianyi, Long, Gui -Lu, and Hu, Hui. Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.91.023609.
Cao, Ye, Liu, Xia -Ji, He, Lianyi, Long, Gui -Lu, & Hu, Hui. Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid. United States. https://doi.org/10.1103/PhysRevA.91.023609
Cao, Ye, Liu, Xia -Ji, He, Lianyi, Long, Gui -Lu, and Hu, Hui. Mon . "Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid". United States. https://doi.org/10.1103/PhysRevA.91.023609. https://www.osti.gov/servlets/purl/1246948.
@article{osti_1246948,
title = {Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit-coupled Fulde-Ferrell superfluid},
author = {Cao, Ye and Liu, Xia -Ji and He, Lianyi and Long, Gui -Lu and Hu, Hui},
abstractNote = {We theoretically investigate the superfluid density and Berezinskii-Kosterlitz-Thouless (BKT) transition of a two-dimensional Rashba spin-orbit-coupled atomic Fermi gas with both in-plane and out-of-plane Zeeman fields. It was recently predicted that, by tuning the two Zeeman fields, the system may exhibit different exotic Fulde-Ferrell (FF) superfluid phases, including the gapped FF, gapless FF, gapless topological FF, and gapped topological FF states. Due to the FF paring, we show that the superfluid density (tensor) of the system becomes anisotropic. When an in-plane Zeeman field is applied along the x direction, the tensor component along the y direction ns,yy is generally larger than ns,xx in most parameter space. At zero temperature, there is always a discontinuity jump in ns,xx as the system evolves from a gapped FF into a gapless FF state. With increasing temperature, such a jump is gradually washed out. The critical BKT temperature has been calculated as functions of the spin-orbit-coupling strength, interatomic interaction strength, and in-plane and out-of-plane Zeeman fields. We predict that the novel FF superfluid phases have a significant critical BKT temperature, typically at the order of 0.1TF, where TF is the Fermi degenerate temperature. Furthermore, their observation is within the reach of current experimental techniques in cold-atom laboratories.},
doi = {10.1103/PhysRevA.91.023609},
url = {https://www.osti.gov/biblio/1246948}, journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 91,
place = {United States},
year = {2015},
month = {2}
}

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Cited by: 5 works
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Works referenced in this record:

Superconductivity in a Strong Spin-Exchange Field
journal, August 1964


Inhomogeneous superconductivity in condensed matter and QCD
journal, February 2004


Vortex Dynamics and the Fulde-Ferrell-Larkin-Ovchinnikov State in a Magnetic-Field-Induced Organic Superconductor
journal, October 2006


Coupled Superconducting and Magnetic Order in CeCoIn5
journal, September 2008


Spin-imbalance in a one-dimensional Fermi gas
journal, September 2010


Switching of magnetic domains reveals spatially inhomogeneous superconductivity
journal, December 2013


Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
journal, October 2007


Finite-temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
journal, August 2008


Noncentrosymmetric Superconductors
journal, March 2014


Inhomogeneous Stripe Phase Revisited for Surface Superconductivity
journal, November 2002


Magnetic-field-induced helical and stripe phases in Rashba superconductors
journal, February 2007


Theory of a two-dimensional superconductor with broken inversion symmetry
journal, July 2007


Superconducting and Ferromagnetic Phases in SrTiO 3 / LaAlO 3 Oxide Interface Structures: Possibility of Finite Momentum Pairing
journal, March 2012


Spin–orbit-coupled Bose–Einstein condensates
journal, March 2011


Spin-Orbit Coupled Degenerate Fermi Gases
journal, August 2012


Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
journal, August 2012


p x + i p y Superfluid from s -Wave Interactions of Fermionic Cold Atoms
journal, October 2008


Non-Abelian Topological Order in s -Wave Superfluids of Ultracold Fermionic Atoms
journal, July 2009


Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
journal, January 2010


Helical Liquids and Majorana Bound States in Quantum Wires
journal, October 2010


Topological superfluid in one-dimensional spin-orbit-coupled atomic Fermi gases
journal, March 2012


Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory)
journal, June 1972


Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973


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


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


Phase fluctuations and pseudogap phenomena
journal, July 2001


BCS-BEC Crossover in 2D Fermi Gases with Rashba Spin-Orbit Coupling
journal, April 2012


Probing Anisotropic Superfluidity in Atomic Fermi Gases with Rashba Spin-Orbit Coupling
journal, November 2011


Pairing fluctuations and the superfluid density through the BCS-BEC crossover
journal, December 2006


Superfluid density and condensate fraction in the BCS-BEC crossover regime at finite temperatures
journal, March 2007


Universal Jump in the Superfluid Density of Two-Dimensional Superfluids
journal, November 1977


Superfluidity, sound velocity, and quasicondensation in the two-dimensional BCS-BEC crossover
journal, November 2013


Fulde-Ferrell states and Berezinskii-Kosterlitz-Thouless phase transition in two-dimensional imbalanced Fermi gases
journal, January 2014


Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
journal, May 2006


Colloquium: Topological insulators
journal, November 2010


Topological insulators and superconductors
journal, October 2011


Phase diagram of a cold polarized Fermi gas in two dimensions
journal, September 2008


Comparative study of strong-coupling theories of a trapped Fermi gas at unitarity
journal, June 2008


    Works referencing / citing this record:

    The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
    journal, February 2018