arXiv:1811.08368 · Physical review. B./Physical review. B
Phase diagram of spin-1 chains with Dzyaloshinskii-Moriya interaction
Hugo Tschirhart, Ernest Teng Siang Ong, Pinaki Sengupta, Thomas L. Schmidt
Abstract
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.