Bethe ansatz for the SU(4) extension of the Hubbard Model
Heng Fan, Miki Wadati
TL;DR
This paper applies the nested algebraic Bethe ansatz to solve the eigenvalue problem of the SU(4) extended Hubbard model, revealing its integrable structure and spectral properties.
Contribution
It introduces a method to solve the SU(4) Hubbard model using graded algebraic Bethe ansatz, extending previous techniques to higher symmetry.
Findings
Eigenvalues of the SU(4) Hubbard model obtained
Demonstrates integrability via graded Yang-Baxter equation
Provides a framework for analyzing SU(4) symmetric systems
Abstract
We apply the nested algebraic Bethe ansatz method to solve the eigenvalue problem for the SU(4) extension of the Hubbard model. The Hamiltonian is equivalent to the SU(4) graded permutation operator. The graded Yang-Baxter equation and the graded Quantum Inverse Scattering Method are used to obtain the eigenvalue of the SU(4) extension of the Hubbard model.
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