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Quantum Phase Transitions and the v=5/2 Fractional Hall State in Wide Quantum Wells

Author(s): Papic, Z; Haldane, Frederick D; Rezayi, EH

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Abstract: We study the nature of the v = 5/2 quantum Hall state in wide quantum wells under the mixing of electronic subbands and Landau levels. A general method is introduced to analyze the Moore-Read Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, under periodic boundary conditions in a “quartered” Brillouin zone scheme containing both even and odd numbers of electrons. By examining the rotational quantum numbers on the torus, we show spontaneous breaking of the particle-hole symmetry can be observed in finite-size systems. In the presence of electronic-subband and Landaulevel mixing, the particle-hole symmetry is broken in such a way that the anti-Pfaffian state is unambiguously favored, and becomes more robust in the vicinity of a transition to the compressible phase, in agreement with recent experiments. DOI: 10.1103/PhysRevLett.109.266806
Publication Date: 28-Dec-2012
Electronic Publication Date: 27-Dec-2012
Citation: Papic, Z, Haldane, FDM, Rezayi, EH. (2012). Quantum Phase Transitions and the v=5/2 Fractional Hall State in Wide Quantum Wells. PHYSICAL REVIEW LETTERS, 109 (10.1103/PhysRevLett.109.266806
DOI: doi:10.1103/PhysRevLett.109.266806
ISSN: 0031-9007
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. This is an open access article.

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