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arXiv · 1509.01467

Fractional Quantum Hall Effects in HgTe Quantum Wells

Jianhui Wang
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Abstract

We study the possibility of fractional quantum Hall effects in HgTe quantum wells using exact diagonalization. Our results show that Laughlin states, the Moore-Read state, and the Read-Rezayi $Z_3$ state can all be supported. However, near the level crossing point (of the single-particle spectrum), the gap can be destroyed by Landau level mixing, and the Moore-Read state and the Read-Rezayi state dominate over their respective competing states only for wide wells. For smaller well widths the Moore-Read state crosses over to the composite fermion Fermi sea, while the Read-Rezayi state loses its dominance over the hierarchy state.

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Jianhui Wang. 2016-01-24. Fractional Quantum Hall Effects in HgTe Quantum Wells. https://doi.org/10.1103/physrevb.93.085117

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