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Transition from two-component 332 Halperin state to one-component Jain state at filling factor25

2010/03/31 by M. V. Milovanović, Zlatko Papić, Z. Papić · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.82.035316

published as Phys. Rev. B 82, 035316 (2010) · 9 pages, 6 figures

openalex publication_date 2010/07/27 · arxiv created 2010/07/29 · arxiv updated 2010/07/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the transition induced by tunneling from the two-component 332 Halperin's state to the one-component Jain's state at the filling factor \ensuremathν=2/5. In exact diagonalizations of small systems two possibilities for the transition are found: (a) avoided level crossing, and (b) level crossing, i.e., first-order transition in the case of Coulomb interaction and short range interaction, respectively. An effective bosonic model with p-wave pairing for the transition is proposed. The relevance of the Gaffnian state for the transition is discussed as well as possible consequences of our model on the effective description of the Jain's state.

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