Bilayer quantum Hall phase transitions and the orbifold non-Abelian fractional quantum Hall states
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Author(s)
Barkeshli, Maissam
Wen, Xiao-Gang
Date Issued
September 2011
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
Barkeshli, Maissam, and Xiao-Gang Wen. “Bilayer Quantum Hall Phase Transitions and the Orbifold non-Abelian Fractional Quantum Hall States.” Physical Review B 84.11 (2011): n. pag. Web. 17 Feb. 2012. © 2011 American Physical Society
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Final published version
Abstract
We study continuous quantum phase transitions that can occur in bilayer fractional quantum Hall (FQH) systems as the interlayer tunneling and interlayer repulsion are tuned. We introduce a slave-particle gauge theory description of a series of continuous transitions from the (ppq) Abelian bilayer states to a set of non-Abelian FQH states, which we dub orbifold FQH states, of which the Z[subscript 4] parafermion (Read-Rezayi) state is a special case. This provides an example in which Z[subscript 2] electron fractionalization leads to non-Abelian topological phases. The naive "ideal" wave functions and ideal Hamiltonians associated with these orbifold states do not in general correspond to incompressible phases but, instead, lie at a nearby critical point. We discuss this unusual situation from the perspective of the pattern-of-zeros/vertex algebra frameworks and discuss implications for the conceptual foundations of these approaches. Due to the proximity in the phase diagram of these non-Abelian states to the (ppq) bilayer states, they may be experimentally relevant, both as candidates for describing the plateaus in single-layer systems at filling fractions 8/3 and 12/5 and as a way to tune to non-Abelian states in double-layer or wide quantum wells.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.84.115121
