2000/01/21 by Xi‐Wen Guan, X. -W. Guan, U. Grimm +4 · 26 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Boundary value problem #Chain (unit) #Chemistry #Eigenvalues and eigenvectors #Fermion #Integrable system #Inverse scattering problem #Inverse scattering transform #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Physics #Physics of Superconductivity and Magnetism #Polaron #Quantum #Quantum inverse scattering method #Quantum many-body systems #Quantum mechanics #Scattering #Yang–Baxter equation #nlin.SI #t-J model
paper · pdf · doi:10.1088/0305-4470/33/21/302
published in Journal of Physics A Mathematical and General 33(21), 3863-3879 (Institute of Physics) · 20 pages, 4 figures
arxiv created 2000/01/21 · openalex publication_date 2000/05/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Employing the graded versions of the Yang-Baxter equation and the reflection equations, we construct two kinds of integrable impurities for a small-polaron model with general open boundary conditions: (a) we shift the spectral parameter of the local Lax operator at arbitrary sites in the bulk and (b) we embed the impurity fermion vertex at each boundary of the chain. The Hamiltonians with different types of impurity terms are given explicitly. The Bethe ansatz equations, as well as the eigenvalues of the Hamiltonians, are constructed by means of the quantum inverse scattering method. In addition, we discuss the ground-state properties in the thermodynamic limit.