Magnetism in the dilute Kondo lattice model

TL;DR

This paper studies the magnetic phases of a one-dimensional dilute Kondo lattice model, revealing how impurity spin arrangements influence magnetic order and phase transitions, using bosonization and numerical methods.

Contribution

It provides a detailed phase diagram for the dilute Kondo lattice, highlighting differences between commensurate and incommensurate doping patterns and validating results with DMRG.

Findings

Paramagnetic phase expands with impurity dilution

Antiferromagnetism appears at low incommensurate doping

Phase diagram verified by DMRG simulations

Abstract

The one dimensional dilute Kondo lattice model is investigated by means of bosonization for different dilution patterns of the array of impurity spins. The physical picture is very different if a commensurate or incommensurate doping of the impurity spins is considered. For the commensurate case, the obtained phase diagram is verified using a non-Abelian density-matrix renormalization-group algorithm. The paramagnetic phase widens at the expense of the ferromagnetic phase as the $f$-spins are diluted. For the incommensurate case, antiferromagnetism is found at low doping, which distinguishes the dilute Kondo lattice model from the standard Kondo lattice model.