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arXiv · 0804.2087

Phase transitions on the edge of the ν=5/2 Pfaffian and anti-Pfaffian quantum Hall state

B. J. Overbosch·Xiao-Gang Wen
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Abstract

Starting from the edge reconstructed Pfaffian state and the anti-Pfaffian state for the filling fraction $ν={5/2}$ fractional quantum Hall (FQH) state with the filled Landau levels included, we find that interactions between counterpropagating edge modes can induce phase transitions on the edge. In the new `Majorana-gapped' phases, a pair of counter propagating neutral Majorana modes becomes gapped. The quasiparticle tunneling exponent changes from $g=1/4$ to $g=1/2$ for the edge reconstructed Pfaffian state, and changes from $g=1/2$ to $g=0.55-0.75$ for the anti-Pfaffian state, in the new Majorana-gapped phases. The new phases are candidate states for the observed $ν={5/2}$ state. Furthermore, Majorana-gapped phases provide examples that non-trivial quantum phase transitions can happen on the edge of a FQH state without any change in bulk topological order.

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B. J. Overbosch, Xiao-Gang Wen. 2008-04-13. Phase transitions on the edge of the ν=5/2 Pfaffian and anti-Pfaffian quantum Hall state. https://arxiv.org/abs/0804.2087

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