SU(2) symmetry in a Hubbard model with spin-orbit coupling

Abstract

We study the underlying symmetry in a spin-orbit coupled tight-binding model with Hubbard interaction. It is shown that, in the absence of the on-site interaction, the system possesses the SU(2) symmetry arising from the timereversal symmetry. The influence of the on-site interaction on the symmetry depends on the topology of the networks: The SU(2) symmetry is shown to be the spin rotation symmetry of a simply-connected lattice, so it still holds in the presence of the Hubbard correlation. In contrary, the on-site interaction breaks the SU(2) symmetry of a multi-connected lattice.

5 pages, 2 figures

References in corpus (7)

• The cold atom Hubbard toolbox
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
• Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings
• Observable Topological Effects of Mobius Molecular Devices
• Magnetoconductance properties of rectangular arrays of spintronic quantum rings
• Persistent spin and charge currents and magnification effects in open ring conductors subject to Rashba coupling