在Yang-Lee边界临界区域贝里相位标度行为的理论研究  

Theoretical Study on Bailey Phase Scaling Behavior in the Critical Region of Yang-Lee Boundary

作　　者：高琪 裴明旭 吴晓庆 翟良君 GAO Qi;PEI Mingxu;WU Xiaoqing;ZAI Liangjun(School of Mathematics and Physics,Jiangsu University of Technology,Changzhou 213001,China)

机构地区：[1]江苏理工学院数理学院,江苏常州213001

出　　处：《江苏理工学院学报》2020年第2期74-80,共7页Journal of Jiangsu University of Technology

基　　金：江苏省自然科学基金项目“不同类型外尔半金属手征磁效应的理论研究”(BK20170309);国家自然科学基金项目“外尔半金属手征磁效应的理论研究”(11704161)。

摘　　要：以纵向虚外场一维横场伊辛模型为例,计算了非厄米体系中贝里相位的标度行为。研究采用双参数空间中的贝里相位进行计算,结果表明:贝里相位的实部和虚部能够反映出Yang-Lee边界奇异点(Yang-Lee edge singularity,YLES)周围的异常行为;在由(0+1)D YLES和(1+1)D YLES的临界区构成的重叠临界区中,贝里相位的实部和虚部的标度规律可以同时用(0+1)D YLES和(1+1)D YLES标度理论加以描述。因此,复合贝里相可以作为非厄米系统中检测耗散性相变的通用序参量。We employ a model of the one-dimensional quantum sing model in an imaginary longitudinal field to study the scaling behavior of the Berry phase in the non-Hermitian systems.The Berry phase in two parameters space is used for calculation.The results show that the real and imaginary parts of the Berry phase can show anomalies around the critical points of the Yang-Lee edge singularity(YLES).In the overlapping critical regions constituted by the(0+1)D YLES and(1+1)DYLES,we find that the real and imaginary parts of the Berry phase can be described by both the(0+1)D YLES and(1+1)D YLES scaling theory.Therefore,the complex Berry phase can be used as universal order parameter for description of the dissipative phase transition in the non-Hermitian systems.

关 键 词：贝里相位 Yang-Lee边界临界区 对称性破缺相变 

分 类 号：O413.3[理学—理论物理]