Exclusion statistics for quantum Hall states in Tao-Thouless limit

Details Exclusion statistics for quantum Hall states in Tao-Thouless limit Exclusion statistics for quantum Hall states in Tao-Thouless limit

2010-11-08

arxiv.org/abs/1011.1789v2

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1088/1742-5468/2011/02/P02037

We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, {\it ie} on a thin torus. For any filling factor $\nu=p/q$ a well-defined sector of low-energy states is identified and the exclusion statistics of the excitations is determined. We study numerically, at and near $\nu=1/3$ and $2/5$, how the low energy states develop as one moves away from the TT-limit towards the physical regime. We find that the lowest energy states in the physical regime develop from states in the low energy sector but that the exclusion statistics is modified.

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