Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas

Abstract

The recent experimental realization of spin-orbit coupled Fermi gases provides a unique opportunity to study the interplay between strong interaction and SOC in a tunable, disorder-free system. We present here precision ab initio numerical results on the two-dimensional, unpolarized, uniform Fermi gas with attractive interactions and Rashba SOC. Using auxiliary-field quantum Monte Carlo and incorporating recent algorithmic advances, we carry out exact calculations on sufficiently large system sizes to provide accurate results systematically as a function of experimental parameters. We obtain the equation of state, the momentum distributions, the pseudo-spin correlations and the pairing wave functions. Our results help illuminate the rich pairing structure induced by SOC, and provide benchmarks for theory and guidance to future experimental efforts.

7 pages, 4 figures

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• Computation of dynamical correlation functions for many fermion systems with auxiliary-field quantum Monte Carlo
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• Superconducting monolayer deposited on substrate: effects of the spin-orbit coupling induced by proximity effects
• Clustering of Four-Component Unitary Fermions
• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
• Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches
• Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
• Accurate computations of Rashba spin-orbit coupling in interacting systems: from the Fermi gas to real materials
• Induced interactions in the BCS-BEC crossover of two-dimensional Fermi gases with Rashba spin-orbit coupling
• Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing
• A numerically exact study of Weyl superconductivity
• Nature of the mixed-parity pairing of attractive fermions with spin-orbit coupling in optical lattice
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method
• Comment on Influence of induced interactions on superfluid properties of quasi-two-dimensional dilute Fermi gases with spin-orbit coupling
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling