Phase Diagram of spin 1/2 XXZ Model With Dzyaloshinskii-Moriya Interaction

TL;DR

This paper investigates the phase diagram of the one-dimensional spin-1/2 XXZ model with Dzyaloshinskii-Moriya interaction using quantum renormalization group, revealing three phases and the role of DM interaction in chiral order.

Contribution

It applies QRG to analyze the phase diagram of the XXZ model with DM interaction, identifying phases and the effect of DM on chiral ordering.

Findings

Identifies ferromagnetic, spin-fluid, and Néel phases separated by a critical line.

Shows DM interaction influences chiral magnetic order.

Determines the order parameter as staggered magnetization.

Abstract

We have studied the phase diagram of the one dimensional XXZ model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical point and the scaling of coupling constants. This model has three phases, ferromagnetic, spin-fluid and N\'{e}el phases which are separated by a critical line which depends on the DM coupling constant. We have shown that the staggered magnetization is the order parameter of the system and investigated the influence of DM interaction on the chiral ordering as a helical magnetic order.