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

Zhen Bi, Yi Zhuang You, Cenke Xu

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20 Scopus citations

Abstract

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 Θ 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 Θ term.

Original languageEnglish (US)
Article number081110
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number8
DOIs
StatePublished - Aug 18 2014

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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