Fractional quantum Hall effect at zero magnetic field

Details Fractional quantum Hall effect at zero magnetic field Fractional quantum Hall effect at zero magnetic field

2011-05-02

arxiv.org/abs/1105.0406v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages. Comments are welcome

Scientific paper

In this letter, we discuss the recently proposed fractional quantum Hall effect in the absence of Landau levels. It is shown that the parton construction can explain all properties of 1/3 state, including the effective charge of quasi-particles, their statistics and the many-body ground-state degeneracy. The low energy description of these states has been discussed. We also generalize our model to construct the hierarchical quantum Hall states at filling fractions other than $1/m$.

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