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Continuous topological phase transitions between clean quantum Hall states

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arxiv cond-mat/9908394 v3 pith:PZPSFUIK submitted 1999-08-27 cond-mat.mes-hall cond-mat.str-el

classification cond-mat.mes-hallcond-mat.str-el
keywords statestransitionscleancontinuoushallquantumtopologicalbilayer
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Continuous transitions between states with the {\em same} symmetry but different topological orders are studied. Clean quantum Hall (QH) liquids with neutral quasiparticles are shown to have such transitions. For clean bilayer (nnm) states, a continous transition to other QH states (including non-Abelian states) can be driven by increasing interlayer repulsion/tunneling. The effective theories describing the critical points at some transitions are derived.

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  1. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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