Dzyaloshinskii-Moriya Interaction and Anisotropy effects on the Entanglement of Heisenberg Model

TL;DR

This paper investigates how Dzyaloshinskii-Moriya interaction and anisotropy influence entanglement in the Heisenberg model, revealing phase transitions and critical behavior related to quantum entanglement.

Contribution

It provides a detailed analysis of the effects of DM interaction and anisotropy on entanglement, including the thermodynamic limit and phase boundary singularities.

Findings

Anisotropy suppresses entanglement by aligning spins.

DM interaction restores entanglement through quantum fluctuations.

Entanglement singularities mark phase boundaries and critical points.

Abstract

In this paper the the effect of Dzyaloshinskii-Moriya interaction and anisotropy on the Entanglement of Heisenberg chain has been studied. While the anisotropy suppress the entanglement due to favoring of the alignment of spins, the DM interaction restores the spoiled entanglement via creation of the quantum fluctuations. Thermodynamic limit of the model and emerging of non-analytic behavior of the entanglement have also been probed. The singularities of the entanglement correspond to the critical boundary separating different phases of the model. The singularity of the entanglement derivative approaches the critical point from the gapped phase and will be symmetric if both phase on the boundary are gapped.