Two Magnetic Impurities with Arbitrary Spins in Open Boundary t-J Model

TL;DR

This paper constructs and solves an integrable impurity model with arbitrary-spin magnetic impurities at the edges of an open boundary t-J system, deriving exact solutions and analyzing ground state and boundary effects.

Contribution

It introduces a new integrable impurity model with arbitrary spins in the open boundary t-J system and provides exact solutions including boundary bound states.

Findings

Exact diagonalization of the impurity Hamiltonian.

Derivation of ground state integral equations.

Explicit finite size correction of free energy.

Abstract

From the open boundary t-J model, an impurity model is constructed in which magnetic impurities of arbitrary spins are coupled to the edges of the strongly correlated electron system. The boundary R matrices are given explicitly. The interaction parameters between magnetic impurities and electrons are related to the potentials of the impurities to preserve the integrability of the system. The Hamiltonian of the impurity model is diagonalized exactly. The integral equations of the ground state are derived and the ground state properties are discussed in details. We discuss also the string solutions of the Bethe ansatz equations, which describe the bound states of the charges and spins. By minimizing the thermodynamic potential we get the thermodynamic Bethe ansatz equations. The finite size correction of the free energy contributed by the magnetic impurities is obtained explicitly. The properties of the system at some special limits are discussed and the boundary bound states are obtained.