Staggered anisotropy parameter modification of the anisotropic t–J model

2001/03/31 by Tigran Sedrakyan, T. Sedrakyan
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Anisotropy #Bethe ansatz #Chain (unit) #Computer science #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Hubbard model #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin model #Transfer matrix #cond-mat #hep-th #nlin.SI #t-J model

paper · pdf · doi:10.1016/s0550-3213(01)00272-3

published as Nucl.Phys.B608:557-576,2001 · 21 pages, Latex2e with amsfonts package

openalex publication_date 2001/08/01 · arxiv created 2001/10/12 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The anisotropic t-J model (U_q(gl(2|1)) Perk-Schultz model) with staggered disposition of the anisotropy parameter along a chain is considered and the corresponding ladder type integrable model is constructed. This is a generalisation to spin-1 case of the staggered XXZ spin-1/2 model considered earlier. The corresponding Hamiltonian is calculated and, since it contains next to nearest neighbour interaction terms, can be written in a zig-zag form. The Algebraic Bethe Ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• A family of affine quantum group invariant integrable extensions of the Hubbard Hamiltonian
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• How Algebraic Bethe Ansatz works for integrable model
• A NEW FAMILY OF INTEGRABLE EXTENDED MULTI-BAND HUBBARD HAMILTONIANS
• Chiral spin states and superconductivity