Integrabilities of the $t-J$ Model with Impurities

TL;DR

This paper constructs and exactly solves a $t-J$ model with magnetic impurities using Bethe ansatz, analyzing the Kondo problem and deriving integral equations for bound states and finite-size corrections.

Contribution

It introduces an exactly solvable $t-J$ model with impurities, incorporating boundary matrices dependent on electron spins, and provides detailed analysis of the Kondo effect.

Findings

Exact diagonalization of the impurity $t-J$ model.

Derivation of integral equations for bound states.

Finite-size corrections for ground-state energies obtained.

Abstract

The hamiltonian with magnetic impurities coupled to the strongly correlated electron system is constructed from $t-J$ model. And it is diagonalized exactly by using the Bethe ansatz method. Our boundary matrices depend on the spins of the electrons. The Kondo problem in this system is discussed in details. The integral equations are derived with complex rapidities which describe the bound states in the system. The finite-size corrections for the ground-state energies are obtained.