Bose-Fermi Kondo model with Ising anisotropy: cluster-Monte Carlo approach

TL;DR

This paper applies a cluster-Monte Carlo method to study the finite temperature properties of the Ising-anisotropic Bose-Fermi Kondo model, providing insights into quantum criticality and Kondo destruction in heavy fermion systems.

Contribution

The paper demonstrates the effectiveness of the cluster-Monte Carlo approach in capturing scaling and quantum critical behavior in the Bose-Fermi Kondo model with Ising anisotropy.

Findings

Method accurately captures Kondo phase scaling.

Method reproduces behavior near the quantum critical point.

Results are consistent across different Kondo coupling regimes.

Abstract

The Bose-Fermi Kondo model captures the physics of the destruction of Kondo screening, which is of extensive current interest to the understanding of quantum critical heavy fermion metals. There are presently limited theoretical methods to study the finite temperature properties of the Bose-Fermi Kondo model. Here we provide some of the consistency checks on the cluster-Monte Carlo method, which we have recently applied to the Ising-anisotropic Bose-Fermi Kondo model. We show that the method correctly captures the scaling properties of the Kondo phase, as well as those on approach to the Kondo-destroying quantum critical point. We establish that comparable results are obtained when the Kondo couplings are placed at or away from a Toulouse point.