Exact realization of SO(5) symmetry in extended Hubbard models

TL;DR

This paper demonstrates an exact SO(5) symmetry in a generalized Hubbard model with long-range interactions, providing a rigorous foundation for the symmetry conjectured in high-T_c cuprates.

Contribution

It introduces a generalized Hubbard model with exact SO(5) symmetry, advancing the theoretical understanding of symmetry relations in high-temperature superconductors.

Findings

Exact SO(5) symmetry realized in a lattice Hubbard model.

Discussion of the model's relevance to realistic extended Hubbard Hamiltonians.

Provides a framework for exploring symmetry-related phenomena in correlated electron systems.

Abstract

Zhang recently conjectured an approximate SO(5) symmetry relating antiferromagnetic and superconducting states in high-T_c cuprates. Here, an exact SO(5) symmetry is implemented in a generalized Hubbard model (with long-range interactions) on a lattice. The possible relation to a more realistic extended Hubbard Hamiltonian is discussed.