Exact Results for a Kondo Problem in One Dimensional t-J Model

TL;DR

This paper introduces an exactly solvable 1D t-J model with a Kondo impurity, revealing non-Fermi liquid behavior and enabling analysis of both ferromagnetic and antiferromagnetic Kondo effects in strongly correlated electrons.

Contribution

It presents an integrable Kondo problem in a 1D t-J model with exact solutions for a range of coupling constants, covering both ferromagnetic and antiferromagnetic regimes.

Findings

Residual entropy indicates non-Fermi liquid ground state.

Model is exactly solvable via Bethe ansatz.

Allows study of Kondo effects in strongly correlated systems.

Abstract

We propose an integrable Kondo problem in a one-dimensional (1D) $t-J$ model. With the open boundary condition of the wave functions at the impurity sites, the model can be exactly solved via Bethe ansatz for a class of $J_{R,L}$ (Kondo coupling constants) and $V_{L,R}$ (impurity potentials) parametrized by a single parameter $c$. The integrable value of $J_{L,R}$ runs from negative infinity to positive infinity, which allows us to study both the ferromagnetic Kondo problem and antiferromagnetic Kondo problem in a strongly correlated electron system. Generally, there is a residual entropy for the ground state, which indicates a typical non-Fermi liquid behavior.