Diagonalization of 2-D inhomogeneous model related to the Hubbard model
Ruihong Yue, Tetsuo Deguchi
TL;DR
This paper derives the eigenvalues of the transfer matrix for a 2-D inhomogeneous model related to the Hubbard model using the analytic Bethe Ansatz, generalizing the 1-D Hubbard model with twisted boundary conditions.
Contribution
It introduces a method to find eigenvalues for a 2-D inhomogeneous model, extending the Hubbard model to include inhomogeneity and twisted boundaries.
Findings
Eigenvalues of the transfer matrix were successfully derived.
The generalized Hamiltonian extends the 1-D Hubbard model.
Energy spectra for the new Hamiltonian are provided.
Abstract
We found the eigenvalues of the transfer matrix for the 2-D inhomogeneous statistical model with twisted boundary condition by using the analytic Bethe Ansatz method. In the uniform case, the derived hamiltonian generalizes the 1-D Hubbard model with the twisted boundary. We also give the energy spectra for the derived hamiltonian.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Random Matrices and Applications · Quantum Information and Cryptography