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拓扑绝缘体是费米子多体系统中一种对称性保护的拓扑量子态,拓扑不变量是表征拓扑绝缘体的重要物理量。该文在二维无相互作用的费米子拓扑绝缘体中,证明了3种不同拓扑不变量计算公式的等价性,分析了这些计算公式的适用范围;给出了这些拓扑不变量公式的完整数值计算范式;作为范例,通过计算拓扑不变量,得到了Kane-Mele模型的相图。该文为拓扑绝缘体中拓扑不变量的计算提供了完整自洽的计算方法。
Abstract：Topological insulator is a symmetry protected topological phase in fermionic many-body systems,and topological invariants are the important characterizing physical quantities for it. The equivalence of three different formulas of topological invariants in noninteracting fermionic systems is proved and their practical implementations is analyzed. The full numerical calculation scheme for these topological invariants is presented.As an example,the phase diagram of Kane-Mele model is figured out,via calculating the topological invariants numerically. This work supplies a fully self-contained method for calculating the topological invariants of topological insulators.
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基本信息:
DOI：10.16152/j.cnki.xdxbzr.2019-01-012
中图分类号:O469
引用信息:
[1]孙倩,何院耀.拓扑绝缘体中的拓扑不变量及其数值计算[J].西北大学学报(自然科学版),2019,49(01):93-100.DOI:10.16152/j.cnki.xdxbzr.2019-01-012.
基金信息:
国家自然科学基金资助项目(11474356);; 中国人民大学“拔尖创新人才培育计划”基金资助项目