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 language | English (US) |
|---|---|
| Article number | 081110 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 90 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 18 2014 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
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