Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction

TL;DR

This paper investigates how staggered Dzyaloshinskii-Moriya interaction affects quantum entanglement and phase transitions in the XY spin-1/2 model using quantum renormalization group analysis, revealing critical behavior and entanglement enhancement.

Contribution

It introduces a detailed analysis of the impact of staggered DM interaction on quantum phase transitions and entanglement scaling in the XY model using quantum renormalization group methods.

Findings

Quantum phase transition between spin-fluid and Ne9el phases identified.

DM interaction enhances entanglement and affects critical points.

Nonanalytic behavior of entanglement derivative at criticality linked to divergence of correlation length.

Abstract

We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of quantum renormalization group method. The scaling of coupling constants and the critical points of the system are obtained. It is found that when the number of renormalization group iterations tends to infinity, the system exhibit a QPT between the spin-fluid and N\'eel phases which corresponds with two saturated values of the concurrence for a given value of the strength of DM interaction. The DM interaction can enhance the entanglement and influence the QPT of the system. To gain further insight, the first derivative of the entanglement exhibit a nonanalytic behavior at the critical point and it directly associates with the divergence of the correlation length. This shows that the correlation length exponent is closely related to the critical exponent, i.e., the scaling behaviors of the system.