One-dimensional Kondo lattice at partial band filling

TL;DR

This paper derives an effective Hamiltonian for the 1D Kondo lattice model at partial band filling, providing insights into phase transitions and aligning with numerical simulation results.

Contribution

It introduces a new effective Hamiltonian derived through bosonization, offering a deeper understanding of phase transitions in the 1D Kondo lattice.

Findings

Reproduces features observed in numerical simulations

Provides new insights into ferro- to paramagnetic phase transition

Elucidates properties of the paramagnetic phase

Abstract

An effective Hamiltonian for the localized spins in the one-dimensional Kondo lattice model is derived via a unitary transformation involving a bosonization of delocalized conduction electrons. The effective Hamiltonian is shown to reproduce all the features of the model as identified in various numerical simulations, and provides much new information on the ferro- to paramagnetic phase transition and the paramagnetic phase.