We investigate quantum phase transitions in XY spin models using Dzyaloshinsky-Moriya (DM) interactions. We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher DM couplings suppress quantum phase transitions. However, quantum coherence (characterized by the l1-norm and relative entropy) decreases as the DM coupling increases. Herein, we present both analytical and numerical results.
@article{arxiv.1808.03769,
title = {Quantum Fisher information and coherence in one-dimensional $XY$ spin models with Dzyaloshinsky-Moriya interactions},
author = {Biao-Liang Ye and Bo Li and Zhi-Xi Wang and Xianqing Li-Jost and Shao-Ming Fei},
journal= {arXiv preprint arXiv:1808.03769},
year = {2018}
}