Liu X M, Cheng W W, Liu J-M
Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093, China.
Institute of Mathematical and Physical Sciences, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
Sci Rep. 2016 Jan 19;6:19359. doi: 10.1038/srep19359.
We investigate the quantum Fisher information and quantum phase transitions of an XY spin chain with staggered Dzyaloshinskii-Moriya interaction using the quantum renormalization-group method. The quantum Fisher information, its first-derivatives, and the finite-size scaling behaviors are rigorously calculated respectively. The singularity of the derivatives at the phase transition point as a function of lattice size is carefully discussed and it is revealed that the scaling exponent for quantum Fisher information at the critical point can be used to describe the correlation length of this model, addressing the substantial role of staggered Dzyaloshinskii-Moriya interaction in modulating quantum phase transitions.
我们使用量子重整化群方法研究了具有交错Dzyaloshinskii-Moriya相互作用的XY自旋链的量子费舍尔信息和量子相变。分别严格计算了量子费舍尔信息、其一阶导数以及有限尺寸标度行为。仔细讨论了作为晶格尺寸函数的相变点处导数的奇异性，结果表明临界点处量子费舍尔信息的标度指数可用于描述该模型的关联长度，揭示了交错Dzyaloshinskii-Moriya相互作用在调制量子相变中的重要作用。
