Exactly solvable quantum impurity model with inverse-square interactions

TL;DR

This paper introduces an exactly solvable quantum impurity model with inverse-square interactions, capturing key aspects of Kondo physics and providing a framework for generating more such models.

Contribution

It constructs a new exactly solvable quantum impurity model with inverse-square interactions and demonstrates its relevance to Kondo physics.

Findings

Model exhibits Kondo physics characteristics

Ground state is a Gutzwiller projected Fermi sea

Model can generate other exactly solvable impurity models

Abstract

We construct an exactly solvable quantum impurity model which consists of spin-1/2 conduction fermions and the spin-1/2 magnetic moment. The ground state is a Gutzwiller projected Fermi sea with non-orthonormal modes and its wave function in the site-occupation basis is a Jastrow-type homogeneous polynomial. The parent Hamiltonian has all-to-all inverse-square hopping terms between the conduction fermions and inverse-square spin-exchange terms between the conduction fermions and the magnetic moments. The low-lying energy levels, spin-spin correlation function, and von Neumann entanglement entropy of our model demonstrate that it exhibits the essential aspects of spin-1/2 Kondo physics. The machinery developed in this work can generate many other exactly solvable quantum impurity models.