Quantum Symmetry of Hubbard Model Unraveled
Peter Schupp
Abstract
Superconducting quantum symmetries in extended single-band 1-dimensional Hubbard models are shown to originate from the classical (pseudo-)spin SO(4) symmetry of a class of models of which the standard Hubbard model is a special case. Extending the notion of symmetry to include quantum groups allows us to introduce extra parameters but the corresponding quantum symmetric models are restricted to one dimension. All models discussed are related by generalized Lang-Firsov transformations, some have symmetries away from half filling. The most general model with symmetric next-neighbour interaction terms and classical SO(4) symmetry is given explicitly.
Create a lesson
Related papers
Hidden entropic order of emergent charges in a classical Ampère spin liquid
H. Diego Rosales, Emma M. Bizot, Flavia A. Gómez Albarracín et al.
Stability of energy gap of macroscopic quantum matter
Kangle Li, Liujun Zou
Field evolution of the multi-k magnetic states in NdB4 revealed by neutron diffraction
D. Brunt, N. Qureshi, E. Chan et al.
Interplay between Spin Stripes and Pairing Crossover in the Bilayer Hubbard Model
Zixuan Jia, Xuelei Sui, Shijie Hu et al.
Ni ordering in the van der Waals gap of Ni-intercalated 2H-NbS2: from disorder through 2×2 and 3×3 order to stripe order
Naveen Singh Dhami, Ricardo Guillermo Torres Ramirez, Gaurav Pransu et al.
Resonantly interacting 2e/3 anyons: a controlled microscopic theory of anyon superconductivity
Qingchen Li, Pavel A. Nosov, Zhaoyu Han et al.