Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-03-07
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.
Wang Zhenghan
Wen Xiao Gang
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