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

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [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)

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FT140100003; FT130100815; DP140103231; DP140100637; 11175094; 91221205; AC52-06NA25396
OSTI ID:
1246948
Alternate ID(s):
OSTI ID: 1180966
Report Number(s):
LA-UR-14-27977; PLRAAN
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 2; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (71)

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
Attractive Fermi Gases with Unequal Spin Populations in Highly Elongated Traps journal February 2007
Phase Diagram of a Strongly Interacting Polarized Fermi Gas in One Dimension journal February 2007
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
Phase transitions and pairing signature in strongly attractive Fermi atomic gases journal August 2007
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
Radio-frequency spectroscopy of a strongly interacting spin-orbit-coupled Fermi gas journal May 2013
Fermi Gases with Synthetic Spin-Orbit Coupling book March 2014
Finite-momentum dimer bound state in a spin-orbit-coupled Fermi gas journal April 2013
Route to observable Fulde-Ferrell-Larkin-Ovchinnikov phases in three-dimensional spin-orbit-coupled degenerate Fermi gases journal March 2013
Unconventional Superfluid in a Two-Dimensional Fermi gas with Anisotropic Spin-Orbit Coupling and Zeeman fields journal March 2013
Inhomogeneous Fulde-Ferrell superfluidity in spin-orbit-coupled atomic Fermi gases journal May 2013
Fulde–Ferrell pairing instability in spin–orbit coupled Fermi gas journal July 2013
Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling journal June 2013
Spin-orbit-coupling-induced Fulde-Ferrell-Larkin-Ovchinnikov-like Cooper pairing and skyrmion-like polarization textures in optical lattices journal July 2013
Flow-enhanced pairing and other unusual effects in Fermi gases in synthetic gauge fields journal September 2013
Pairing superfluidity in spin-orbit coupled ultracold Fermi gases journal September 2014
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
Probing Non-Abelian Statistics of Majorana Fermions in Ultracold Atomic Superfluid journal March 2011
Probing Majorana fermions in spin-orbit-coupled atomic Fermi gases journal February 2012
Topological superfluid in one-dimensional spin-orbit-coupled atomic Fermi gases journal March 2012
Majorana fermions in one-dimensional spin-orbit-coupled Fermi gases journal December 2012
Inhomogeneous Topological Superfluidity in One-Dimensional Spin-Orbit-Coupled Fermi Gases journal December 2013
Topological Fulde-Ferrell superfluid in spin-orbit-coupled atomic Fermi gases journal August 2013
Topological superfluids with finite-momentum pairing and Majorana fermions journal October 2013
Topological Fulde–Ferrell–Larkin–Ovchinnikov states in spin–orbit-coupled Fermi gases journal October 2013
Gapless Topological Fulde-Ferrell Superfluidity in Spin-Orbit Coupled Fermi Gases journal September 2014
Gapless topological Fulde-Ferrell superfluidity induced by an in-plane Zeeman field journal September 2014
Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap journal November 2014
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
Pseudogap phase formation in the crossover from Bose-Einstein condensation to BCS superconductivity journal April 1999
Phase fluctuations and single-fermion spectral density in 2d systems with attraction journal June 2000
Phase fluctuations and pseudogap phenomena journal July 2001
BCS-BEC Crossover in 2D Fermi Gases with Rashba Spin-Orbit Coupling journal April 2012
Searching for Majorana Fermions in 2D Spin-Orbit Coupled Fermi Superfluids at Finite Temperature journal September 2012
Superfluidity and collective modes in Rashba spin–orbit coupled Fermi gases journal October 2013
Effects of Spin-Orbit Coupling on the Berezinskii-Kosterlitz-Thouless Transition and the Vortex-Antivortex Structure in Two-Dimensional Fermi Gases journal October 2014
Probing Anisotropic Superfluidity in Atomic Fermi Gases with Rashba Spin-Orbit Coupling journal November 2011
Rashba spin-orbit-coupled atomic Fermi gases journal December 2011
Opposite Effect of Spin-Orbit Coupling on Condensation and Superfluidity journal January 2012
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
Phase correlations and quasicondensate in a two-dimensional ultracold Fermi gas journal February 2015
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
Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment journal June 2010

Cited By (7)

Fulde–Ferrell State in Spin–Orbit-Coupled Superconductor: Application to Dresselhaus SOC journal May 2018
Topological gapless matters in three-dimensional ultracold atomic gases journal April 2019
The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review journal February 2018
High-temperature electron-hole superfluidity with strong anisotropic gaps in double phosphorene monolayers journal May 2018
The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review text January 2017
High temperature electron-hole superfluidity with strong anisotropic gaps in double phosphorene monolayers text January 2018
Quantum metric and effective mass of a two-body bound state in a flat band text January 2018

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