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  • Title: Anyon condensation and continuous topological phase transitions in non-Abelian fractional quantum Hall states.
    Author: Barkeshli M, Wen XG.
    Journal: Phys Rev Lett; 2010 Nov 19; 105(21):216804. PubMed ID: 21231341.
    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.
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