Continuous topological phase transitions between clean quantum Hall states

Details Continuous topological phase transitions between clean quantum Hall states Continuous topological phase transitions between clean quantum Hall states

1999-08-27

arxiv.org/abs/cond-mat/9908394v3

Phys. Rev. Lett., 84, 3950 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, RevTeX, 2 eps figures

Scientific paper

10.1103/PhysRevLett.84.3950

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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