Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States
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Barkeshli-2010-Classification of Ab.pdf
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Author(s)
Barkeshli, Maissam
Wen, Xiao-Gang
Date Issued
November 2010
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Barkeshli, Maissam and Xiao-Gang Wen. "Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States." Phys. Rev. Lett. 105, 216804 (2010) [4 pages] © 2010 The American Physical Society
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Final published version
Abstract
We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state, while the other side is the non-Abelian Z4 parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z2 gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at ν=2/3 and single-component systems at ν=8/3.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.105.216804
