Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model

TL;DR

This paper investigates a 1D ferromagnetic Ising model with Dzyaloshinskii-Moriya interaction, revealing a metamagnetic quantum phase transition between ferromagnetic and spiral phases through numerical methods.

Contribution

It demonstrates the existence of a metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model using Lanczos and variational matrix product states methods.

Findings

Identification of a metamagnetic transition between ferromagnetic and spiral phases.

Dependence of excitation spectrum and order parameters on Dzyaloshinskii-Moriya interaction.

Confirmation of the phase transition through multiple numerical approaches.

Abstract

We study the 1D ferromagnetic Ising (spin-1/2) model with the Dzyaloshinskii-Moriya (DM) interaction. We analyze the low energy excitation spectrum and the ground state magnetic phase diagram using the Lanczos method. The DM interaction-dependency is calculated for the low-energy excitation spectrum, spiral order parameter and spin-spin correlation functions. We show that a metamagnetic quantum phase transition occurs between the ferromagnetic and spiral phases. The existence of the metamagnetic phase transition is confirmed, using the variational matrix product states approach.