Integrable impurities for an open fermion chain

Abstract

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.

20 pages, 4 figures

References in corpus (15)

• Friedel Oscillations in the Open Hubbard Chain
• Exact Results for a Kondo Problem in One Dimensional t-J Model
• Integrable Boundary Conditions for the One-Dimensional Hubbard Model
• Exact solution of the open Heisenberg chain with two impurities
• Integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons
• The spin-1/2 XXZ Heisenberg chain, the quantum algebra U_q[sl(2)], and duality transformations for minimal models
• Spectrum of boundary states in the open Hubbard chain
• Critical Behaviour of integrable mixed spins chains
• New solutions to the Reflection Equation and the projecting method
• Integrabilities of the $t-J$ Model with Impurities
• Fermionic representations of integrable lattice systems
• Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model
• Two Magnetic Impurities in a Spin Chain
• Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons
• Lax pair formulation for a small-polaron chain with integrable boundaries

Cited by in corpus (1)

• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields