Interplay between a quantum impurity and a boundary field in the SUSY t-J model

TL;DR

This paper investigates how boundary potentials and impurities influence charge fluctuations and bound states in the supersymmetric t-J model, revealing conditions that lead to integrable Kondo impurities and sector selection.

Contribution

It introduces a detailed analysis of bound states in the SUSY t-J model with boundary and impurity, highlighting conditions for charge fluctuation suppression and impurity sector selection.

Findings

Charge fluctuations vanish at specific boundary and impurity parameters.

Bound state populations determine impurity sector selection.

Conditions for integrable Kondo impurities are identified.

Abstract

We study the role of bound states appearing in different formulations of the Bethe ansatz for the supersymmetric t-J model with a boundary potential and an integrable impurity. For special values of the parameters describing the boundary and the impurity the charge fluctuations at the latter vanish. The population of the bound states selects different sectors of the impurity levels leading to integrable Kondo impurities.