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BCS-BEC crossover in spin-orbit-coupled two-dimensional Fermi gases

2011/07/31 by Gang Chen, Ming Gong, Chuanwei Zhang · 1 citation
Physics and Astronomy · #Atom (system on chip) #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Degenerate energy levels #Fermi Gamma-ray Space Telescope #Fermi energy #Fermi gas #Fermi level #Ground state #Materials science #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Spin–orbit interaction #Strong Light-Matter Interactions #Superconductivity #Superfluidity #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.85.013601

published as Phys. Rev. A 85, 013601 (2012)

openalex publication_date 2012/01/03 · arxiv created 2012/01/04 · arxiv updated 2012/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The recent experimental realization of spin-orbit coupling for ultracold atoms has generated much interest in the physics of spin-orbit-coupled degenerate Fermi gases. Although recently the BCS-BEC crossover in three-dimensional (3D) spin-orbit-coupled Fermi gases has been intensively studied, the corresponding two-dimensional (2D) crossover physics has remained unexplored. In this paper, we investigate, both numerically and analytically, the BCS-BEC crossover physics in 2D degenerate Fermi gases in the presence of the Rashba type of spin-orbit coupling. We derive the mean-field gap and atom-number equations suitable for 2D spin-orbit-coupled Fermi gases and solve them numerically and self-consistently, from which the dependence of the ground-state properties (chemical potential, superfluid pairing gap, ground-state energy per atom) on the system parameters (e.g., binding energy, spin-orbit-coupling strength) is obtained. Furthermore, we derive analytical expressions for these ground-state quantities, which agree well with our numerical results within a broad parameter region. Such analytical expressions also agree qualitatively with previous numerical results for 3D spin-orbit-coupled Fermi gases, where analytical results are lacking. We show that, with increasing spin-orbit coupling (SOC) strength, the chemical potential is shifted by a constant determined by the SOC strength. The superfluid pairing gap is enhanced significantly in the BCS limit for strong SOC, but increases only slightly in the BEC limit.

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