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Composite Fermions for Fractionally Filled Chern Bands · Around

2011

Composite Fermions for Fractionally Filled Chern Bands

Murthy, Ganpathy, Shankar, R.

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We address the question of whether fractionally filled bands with a nontrivial Chern index in zero external field could also exhibit a Fractional Quantum Hall Effect (FQHE).

Numerical works suggest this is possible.
Analytic treatments are complicated by a non-vanishing band dispersion and a non-constant Berry flux.
We propose embedding the Chern band in an auxiliary lowest Landau level (LLL) and then using composite fermions.

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