2010/05/19 by X. Z. Zhang, L. Jin, Z. Song
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Condensed matter physics #Explicit symmetry breaking #Geometry #Global symmetry #Hubbard model #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Rotational symmetry #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Symmetry number #Symmetry operation #Theoretical physics #quant-ph
paper · pdf · doi:10.1007/s11433-014-5500-7
published as Sci China-Phys Mech Astron, 2014, 57: 2086-2091 · 5 pages, 2 figures
arxiv created 2010/05/19 · openalex publication_date 2014/08/15 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.