Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model

Abstract

Integrable Kondo impurities in two cases of the one-dimensional $t-J$ model are studied by means of the boundary ${\mathbf{Z}}_2$-graded quantum inverse scattering method. The boundary $K$ matrices depending on the local magnetic moments of the impurities are presented as nontrivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, these models are solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.

14 pages, RevTex

References in corpus (2)

• Integrable open-boundary conditions for the $q$-deformed supersymmetric $U$ model of strongly correlated electrons
• Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model

Cited by in corpus (23)

• Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries
• Open t-J chain with boundary impurities
• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• Integrable impurities for an open fermion chain
• Integrability of the $D_n^2$ vertex models with open boundary
• Quantum Inverse Scattering Method with anyonic grading
• Exact solution for the Bariev model with boundary fields
• Integrable supersymmetric correlated electron chain with open boundaries
• Generalized q-Onsager Algebras and Dynamical K-matrices
• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
• Algebraic Bethe Ansatz solutions for the $sl(2|1{)}^{(2)}$ and $osp(2|1)$ models with boundary terms
• Boundary Kondo impurities in the generalized supersymmetric t-J model
• Integrable boundary impurities in the t-J model with different gradings
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons
• Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Integrable Kondo impurities in one-dimensional extended Hubbard models
• Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model
• Integrable open boundary conditions for the Bariev model of three coupled XY spin chains
• Integrable open supersymmetric U model with boundary impurity
• $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model