Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures

Abstract

We present an $\text{ab initio}$, numerically exact study of attractive fermions in square lattices with Rashba spin-orbit coupling. The ground state of this system is a supersolid, with co-existing charge and superfluid order. The superfluid is composed of both singlet and triplet pairs induced by spin-orbit coupling. We perform large-scale calculations using auxiliary-field quantum Monte Carlo to provide the first full, quantitative description of the charge, spin, and pairing properties of the system. In addition to characterizing the exotic physics, our results will serve as essential high-accuracy benchmarks for the intense theoretical and especially experimental efforts in ultracold atoms to realize and understand an expanding variety of quantum Hall and topological superconductor systems.

arXiv comment6 pages, 4 figures

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• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Overcoming the Memory Bottleneck in Auxiliary Field Quantum Monte Carlo Simulations with Interpolative Separable Density Fitting
• Systematic Comparison and Cross-validation of Fixed-Node Diffusion Monte Carlo and Phaseless Auxiliary-Field Quantum Monte Carlo in Solids
• Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems
• Exotic Superfluid Phases in Spin Polarized Systems on Optical Lattices
• Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Ab initio Calculations in Atoms, Molecules, and Solids, Treating Spin-Orbit Coupling and Electron Interaction on Equal Footing
• Rashba-metal to Mott-insulator transition
• Accurate computations of Rashba spin-orbit coupling in interacting systems: from the Fermi gas to real materials
• A numerically exact study of Weyl superconductivity
• Dynamical structure factor of a fermionic supersolid on an optical lattice
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• Nature of the mixed-parity pairing of attractive fermions with spin-orbit coupling in optical lattice
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• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Accelerating ground-state auxiliary-field quantum Monte Carlo simulations by delayed update and block force-bias update
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal