Spin-orbit coupled fermions in ladder-like optical lattices at half-filling

Abstract

We study the ground-state phase diagram of two-component fermions loaded in a ladder-like lattice at half filling in the presence of spin-orbit coupling. For repulsive fermions with unidirectional spin-orbit coupling along the legs we identify a Néel state which is separated from rung-singlet and ferromagnetic states by Ising phase transition lines. These lines cross for maximal spin-orbit coupling and a direct Gaussian phase transition between rung-singlet and ferro phases is realized. For the case of Rashba-like spin-orbit coupling, besides the rung singlet phases two distinct striped ferromagnetic phases are formed. In case of attractive fermions with spin-orbit coupling at half-filling for decoupled chains we identify a dimerized state that separates a singlet superconductor and a ferromagnetic states.

9 pages

References in corpus (6)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• The spin Hall effect in a quantum gas
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Exotic quantum spin models in spin-orbit-coupled Mott insulators
• Ising phases of Heisenberg ladders in a magnetic field

Cited by in corpus (8)

• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• Competing phases in spin ladders with ring exchange and frustration
• Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
• Equivalence of Rashba-Hubbard and Hubbard chains