A Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling

TL;DR

This paper maps a one-dimensional spin-fermion system to a Coulomb gas, enabling a renormalization group analysis of the anisotropic Kondo chain's phase diagram at various fillings, revealing paramagnetic and ferromagnetic phases.

Contribution

It introduces a Coulomb gas mapping for the anisotropic Kondo lattice, allowing comprehensive phase analysis at arbitrary filling levels.

Findings

Phase diagram includes paramagnetic, partial, and full ferromagnetic regions.

Method applies to both half-filling and away from half-filling.

Analyzes phases of the Ising-Kondo chain.

Abstract

We establish a mapping of a general spin-fermion system in one dimension into a classical generalized Coulomb gas. This mapping allows a renormalization group treatment of the anisotropic Kondo chain both at and away from half-filling. We find that the phase diagram contains regions of paramagnetism, partial and full ferromagnetic order. We also use the method to analyze the phases of the Ising-Kondo chain.