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.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.

arXiv:cond-mat/9707275Physical Review LettersApr 20, 199846 citations

Structure of Many-Body Hamiltonians in Different Symmetry Classes

Adhip Agarwala

Springer thesesJan 1, 20192 citations

Self-consistent approach to determination of boson Hamiltonian parameters

А. Д. Ефимов, V. M. Mikhajlov

Jan 1, 20000 citations

From the Hubbard to the SO(5) Ladder: A Numerical Study

Daniel Duffy, Stephan Haas, Eugene Kim

The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and Exact Diagonalization techniques. A rung interaction, $V$ , is turned on such that the resulting model has an exact SO(5) symmetry when $V=-U$ . The evolution of the low energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and Exact Diagonalization techniques. A rung interaction, $V$, is turned on such that the resulting model has an exact SO(5) symmetry when $V=-U$. The evolution of the low energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.

arXiv:cond-mat/9804221Apr 20, 19980 citations

Strong-Coupling Expansion and Effective Hamiltonians

Frédéric Mila, Kai Phillip Schmidt

arXiv:1005.2495Springer series in solid-state sciencesSep 29, 201022 citations

Evolution of the low-energy excitation spectrum from the pure Hubbard ladder to the SO(5) ladder: A numerical study

Daniel Duffy, Stephan Haas, Eugene Kim

The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and exact diagonalization techniques. A rung interaction, $V,$ is turned on such that the resulting model has an exact SO(5) symmetry when $V=\ensuremath{-}U.$ The evolution of the low-energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low-energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and exact diagonalization techniques. A rung interaction, $V,$ is turned on such that the resulting model has an exact SO(5) symmetry when $V=\ensuremath{-}U.$ The evolution of the low-energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low-energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.

Physical review. B, Condensed matterSep 1, 19987 citations

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.

The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and Exact Diagonalization techniques. A rung interaction,

V

, is turned on such that the resulting model has an exact SO(5) symmetry when

V=-U

. The evolution of the low energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.

The Hubbard Hamiltonian on a two-leg ladder is studied numerically using quantum Monte Carlo and exact diagonalization techniques. A rung interaction,

V,

is turned on such that the resulting model has an exact SO(5) symmetry when $V=\ensuremath{-}U.$ The evolution of the low-energy excitation spectrum is presented from the pure Hubbard ladder to the SO(5) ladder. It is shown that the low-energy excitations in the pure Hubbard ladder have an approximate SO(5) symmetry.