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Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect

M. O. Goerbig·P. Lederer·C. Morais Smith
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Abstract

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted in terms of second-generation composite fermions and which may be responsible for the fractional quantum Hall states observed at unusual filling factors, such as nu=4/11. Projection of the composite-fermion dynamics to a single level, involved in the derivation of the Hamiltonian of interacting composite fermions, reveals the underlying self-similarity of the model.

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M. O. Goerbig, P. Lederer, C. Morais Smith. 2004-10-04. Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect. https://doi.org/10.1142/s0217979204026998

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