Anyon and loop braiding statistics in field theories with a topological Theta term

作者:Bi Zhen*; You Yi Zhuang; Xu Cenke
来源:Physical Review B, 2014, 90(8): 081110.
DOI:10.1103/PhysRevB.90.081110

摘要

We demonstrate that the anyon statistics and three-loop statistics of various 2d and 3d topological phases can be derived using semiclassical nonlinear sigma model field theories with a topological Theta term. In our formalism, the braiding statistics has a natural geometric meaning: The braiding process of anyons or loops leads to a nontrivial field configuration in the space-time, which will contribute a braiding phase factor due to the Theta term.

  • 出版日期2014-8-18