We investigate an antiferromagnetic spin-1 Heisenberg chain in the presence of Dyzaloshinskii-Moriya interactions (DMI) and an external magnetic field. We study the resulting spin chain using a combination of numerical and analytical techniques. Using DMRG simulations to determine the spectral gap and the entanglement spectrum, we map out the phase diagram as a function of magnetic field strength and DMI strength. We provide a qualitative interpretation for these numerical findings by mapping the spin-1 chain on a spin-1/2 ladder and using a bosonization approach.
@article{arxiv.1811.08368,
title = {Phase diagram of spin-$1$ chains with Dzyaloshinskii-Moriya interaction},
author = {Hugo Tschirhart and Ernest Teng Siang Ong and Pinaki Sengupta and Thomas L. Schmidt},
journal= {arXiv preprint arXiv:1811.08368},
year = {2019}
}