Variational Monte Carlo Study of the Kondo Necklace Model with Geometrical Frustration

TL;DR

This study uses variational Monte Carlo simulations to explore the ground state phases of the Kondo necklace model on frustrated lattices, revealing complex magnetic and singlet phases.

Contribution

It introduces an extended Yosida-type wave function to accurately analyze the coexistence of Kondo singlets and magnetic order in frustrated systems.

Findings

High-precision numerical results for the kagome lattice.

Identification of ground-state phase diagram differences between kagome and triangular lattices.

Evidence of coexistence of magnetic order and singlet formation.

Abstract

We investigate the ground state of the Kondo necklace model on geometrically-frustrated lattices by the variational Monte Carlo simulation. To explore the possibility of a partially-ordered phase, we employ an extension of the Yosida-type wave function as a variational state, which can describe a coexistence of spin-singlet formation due to the Kondo coupling and magnetic ordering by the Ruderman-Kittel-Kasuya-Yosida interaction. We show the benchmark of the numerical simulation to demonstrate the high precision brought by the optimization of a large number of variational parameters. We discuss the ground-state phase diagram for the model on the kagome lattice in comparison with that for the triangular-lattice case.