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arXiv · 1007.2030

Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States

Maissam Barkeshli·Xiao-Gang Wen
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Abstract

We find a series of possible continuous quantum phase transitions between fractional quantum Hall (FQH) 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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Maissam Barkeshli, Xiao-Gang Wen. 2010-11-30. Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States. https://doi.org/10.1103/physrevlett.105.216804

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