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.
@article{arxiv.0906.3443,
title = {Metamagnetic phase transition in the Ising plus Dzyaloshinskii-Moriya model},
author = {M. R. Soltani and S. Mahdavifar and Alireza Akbari and A. A. Masoudi},
journal= {arXiv preprint arXiv:0906.3443},
year = {2011}
}