作者: C. Klimcik
DOI:
关键词: Symmetry protected topological order 、 Topological algebra 、 Topological quantum number 、 Physics 、 Topological entropy in physics 、 Grassmann number 、 Pure mathematics 、 Homeomorphism 、 Topological ring 、 Grassmann integral
摘要: Partition functions of some two-dimensional statistical models can be represented by means Grassmann integrals over loops living on torus. It is shown that those are topological invariants, which depend only the winding numbers loops. The fact makes possible to evaluate partition and mean values certain characteristics (indices) configurations, behave as (topological) order parameters.