Evolution from BCS to BKT superfluidity in one-dimensional optical lattices

Abstract

We analyze the finite temperature phase diagram of fermion mixtures in one-dimensional optical lattices as a function of interaction strength. At low temperatures, the system evolves from an anisotropic three-dimensional Bardeen-Cooper-Schrieffer (BCS) superfluid to an effectively two-dimensional Berezinskii-Kosterlitz-Thouless (BKT) superfluid as the interaction strength increases. We calculate the critical temperature as a function of interaction strength, and identify the region where the dimensional crossover occurs for a specified optical lattice potential. Finally, we show that the dominant vortex excitations near the critical temperature evolve from multiplane elliptical vortex loops in the three-dimensional regime to planar vortex-antivortex pairs in the two-dimensional regime, and we propose a detection scheme for these excitations.

4 pages with 2 figures

References in corpus (7)

• Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Molecules of Fermionic Atoms in an Optical Lattice
• Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
• Superfluid-Insulator Transition of Strongly Interacting Fermi Gases in Optical Lattices
• Superfluid-insulator transitions of the Fermi gas with near-unitary interactions in a periodic potential
• Superfluid and insulating phases of fermion mixtures in optical lattices

Cited by in corpus (22)

• Evolution of Fermion Pairing from Three to Two Dimensions
• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
• Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
• Criteria for 2D kinematics in an interacting Fermi gas
• Low-dimensional pairing fluctuations and pseudogapped photoemission spectrum in a trapped two-dimensional Fermi gas
• Pairing instabilities in quasi-two-dimensional Fermi gases
• Hetero pairing and component-dependent pseudogap phenomena in an ultracold Fermi gas with mass imbalance
• Evolution of Cooper pairs with zero-center-of-mass momentum and their first-order correlation function in a two-dimensional ultracold Fermi gas near the observed Berezinskii-Kosterlitz-Thouless transition
• Dimensional crossover in the quasi-one-dimensional superconductor Tl${}_2$Mo${}_6$Se${}_6$
• Anisotropic superfluidity of two-dimensional excitons in a periodic potential
• Anisotropic Ginzburg-Landau and Lawrence-Doniach Models for Layered Ultracold Fermi Gases
• Pseudogap phenomena in a two-dimensional ultracold Fermi gas near the Berezinskii-Kosterlitz-Thouless transition
• Dimensionality-induced BCS-BEC crossover in layered superconductors
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with $p$- or $d$-wave pairing
• Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
• Stabilization of vortex-liquid state by strong pairing interaction
• Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas
• Momentum distribution of Cooper-pairs and strong-coupling effects in a two-dimensional Fermi gas near the Berezinskii-Kosterlitz-Thouless transition
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases