Magnetic properties and concurrence for fluid 3He on kagome lattice

TL;DR

This study investigates the magnetic properties and quantum entanglement of fluid 3He on a kagome lattice using a Heisenberg model with exchange interactions, revealing magnetization plateaus and correlations between entanglement and magnetic behavior.

Contribution

It introduces a variational mean-field approach to analyze magnetic and entanglement properties of kagome lattice 3He, highlighting the relationship between magnetization and concurrence.

Findings

Magnetization plateaus observed at low temperatures.

Concurrence behavior coincides with magnetization in the antiferromagnetic region.

Magnetic properties depend on exchange parameters J2 and J3.

Abstract

We present the results of magnetic properties and entanglement for kagome lattice using Heisenberg model with two-, and three-site exchange interactions in strong magnetic field. Kagome lattice correspond to the third layer of fluid 3He absorbed on the surface of graphite. The magnetic properties and concurrence as a measure of pairwise thermal entanglement are studied by means of variational mean-field like treatment based on Gibbs-Bogoliubov inequality. The system exhibits different magnetic behaviors, depending on the values of the exchange parameters (J2, J3). We have obtained the magnetization plateaus at low temperatures. The central theme of the paper is the comparing the entanglement and magnetic behavior for kagome lattice. We have found that in the antiferromagnetic region behaviour of the concurrence coincides with the magnetization one.