Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Experimental and Theoretical Physics Letters

Reduction of the XXZ model with twisted boundary conditions

Alexander A. Belavin, S. Yu. Gubanov

Published May 1, 2001• 1 citation
Publisher

Abstract

The XXZ model with twisted boundary conditions is considered. The method of energy spectrum calculation based on the functional equation for the transfer matrix is analyzed. The Hamiltonian eigenvalues are obtained in an explicit form.
DOI
10.1134/1.1385667

Related papers

The XXZ model with anti-periodic twisted boundary conditions

Sönke Niekamp, Tobias Wirth, Holger Frahm

We derive functional equations for the eigenvalues of the XXZ model subject to anti-diagonal twisted boundary conditions by means of fusion of transfer matrices and by Sklyanin's method of separation of variables. Our findings coincide with those obtained using Baxter's method and are compared to the recent solution of Galleas. As an application we study the finite size scaling of the ground-state energy of the model in the critical regime.

arXiv:0902.1079•Journal of Physics A Mathematical and Theoretical•Apr 27, 2009•41 citations

Diagonalization of 2-D inhomogeneous model related to the Hubbard model

Rui‐Hong Yue, Tetsuo Deguchi

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.

arXiv:cond-mat/9701207•Jan 29, 1997•0 citations

Analytic Bethe ansatz for 1D Hubbard model and twisted coupledXYmodel

Ruihong Yue, Tetsuo Deguchi

We have found the eigenvalues of the transfer matrices for the 1D Hubbard model and for the coupled XY model with a twisted boundary condition by using the analytic Bethe ansatz method. Under a particular condition the two models have the same Bethe ansatz equations. We have also proved that the periodic 1D Hubbard model is exactly equal to the coupled XY model with a non-trivial twisted boundary condition at the level of Hamiltonians and transfer matrices.

arXiv:cond-mat/9606039•Journal of Physics A Mathematical and General•Feb 7, 1997•40 citations

Bethe ansatz for supersymmetric model with U q [ osp (1|2)] symmetry

Wen‐Li Yang

Using the algebraic Bethe ansatz method, we obtain the eigenvalues of the transfer matrix of the supersymmetric model with U q [ osp (1|2)] symmetry under periodic boundary and twisted boundary conditions.

Chinese Physics•Jan 22, 2001•1 citation

Functional relations from the Yang–Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions

W. Galléas

arXiv:0708.0009•Nuclear Physics B•Sep 23, 2007•112 citations

Bethe Ansatz for Supersymmetric Model Constructed from U q [ osp (2|2) (2) ] R -Matrix

Wen‐Li Yang, Zhen Yi

Using the algebraic Bethe ansatz method, we obtain the eigenvalues of transfer matrix of the supersymmetric model constructed from the R -matrix of the twisted affine superalgebra U q [ osp (2|2) (2) ] in periodic boundary condition and twisted boundary condition.

Communications in Theoretical Physics•Sep 15, 2001•4 citations