Topological properties of Abelian and non-Abelian quantum Hall states from the pattern of zeros

Details Topological properties of Abelian and non-Abelian quantum Hall states from the pattern of zeros Topological properties of Abelian and non-Abelian quantum Hall states from the pattern of zeros

2008-03-07

arxiv.org/abs/0803.1016v3

Phys. Rev. B 78, 155109 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

26 pages. RevTeX4

Scientific paper

10.1103/PhysRevB.78.155109

It has been shown that different Abelian and non-Abelian fraction quantum Hall states can be characterized by patterns of zeros described by sequences of integers {S_a}. In this paper, we will show how to use the data {S_a} 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.

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