Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions

Abstract

We study interacting Rashba-Dresselhaus fermions in two spatial dimensions. First, we present a new exact solution to the two-particle pairing problem of spin-orbit-coupled fermions for arbitrary Rashba and Dresselhaus spin-orbit interactions. An exact molecular wave function and the Green function are explicitly derived along with the binding energy and the spectrum of the molecular state. In the second part, we consider a thermal Boltzmann gas of fermionic molecules and compute the time-of-flight velocity and spin distributions for a single fermion in the gas. We show that the pairing signatures can be observed already in the first-moment expectation values, such as time-of-flight density and spin profiles.

12 pages, 8 figures; Fig. 1 fixed

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• Topological superfluids on a lattice with non-Abelian gauge fields
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Cited by in corpus (24)

• Synthetic 3D Spin-Orbit Coupling
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
• Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
• Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
• Scattering and effective interactions of ultracold atoms with spin-orbit coupling
• Topological superfluid phases of an atomic Fermi gas with in- and out-of-plane Zeeman fields and equal Rashba-Dresselhaus spin-orbit coupling
• Collective excitations across the BCS-BEC crossover induced by a synthetic Rashba spin-orbit coupling
• Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study
• Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
• Two-body problem for two-dimensional electrons in Bernervig-Hughes-Zhang model
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Geometric frustration produces long-sought Bose metal phase of quantum matter
• Three-Dimensional Spin-Orbit Coupling in a Trap
• Multigaps superconductivity at unconventional Lifshitz transition in a 3D Rashba heterostructure at atomic limit
• Trapped Fermi gases with Rashba spin-orbit coupling in two dimensions
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• Unconventional transport in low-density two-dimensional Rashba systems
• Rashba scattering in the low-energy limit
• Rotating a Rashba-coupled Fermi gas in two dimensions
• Spectrum of a family of spin-orbit coupled Hamiltonians with singular perturbation
• Interplay between Rashba spin-orbit coupling and adiabatic rotation in a two-dimensional Fermi gas
• Triplet character of 2D-fermion dimers arising from $s$-wave attraction via spin-orbit coupling and Zeeman splitting
• Superfluid-insulator transition and the BEC-BCS crossover in the Rashba moat band