Topological properties of Abelian and non-Abelian quantum Hall states classified using patterns of zeros
Abstract
It has been shown that different Abelian and non-Abelian fractional quantum Hall states can be characterized by patterns of zeros described by sequences of integers {Sa} . In this paper, we will show how to use the data {Sa} to calculate various topological properties of the corresponding fraction quantum Hall state, such as the number of possible quasiparticle types and their quantum numbers, as well as the actions of the quasiparticle tunneling and modular transformations on the degenerate ground states on torus.
- Publication:
-
Physical Review B
- Pub Date:
- October 2008
- DOI:
- arXiv:
- arXiv:0803.1016
- Bibcode:
- 2008PhRvB..78o5109W
- Keywords:
-
- 73.43.-f;
- Quantum Hall effects;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Strongly Correlated Electrons;
- Mathematical Physics
- E-Print:
- 26 pages. RevTeX4