Tuesday, May 28, 2013

1305.6029 (Jianhui Wang et al.)

Edge reconstruction in the $ν=2/3$ fractional quantum Hall state    [PDF]

Jianhui Wang, Yigal Meir, Yuval Gefen
The edge structure of the $\nu=2/3$ fractional quantum Hall state has been studied for several decades but recent experiments, exhibiting upstream neutral mode(s), a plateau at a Hall conductance of $1/3\ e^2/h$ through a quantum point contact, and a crossover of the effective charge, from $e/3$ at high temperature to $2e/3$ at low temperature, could not be explained by a single theory. Here we develop such a theory, based on edge reconstruction due to a confining potential with finite slope, that admits an additional $\nu=1/3$ incompressible strip near the edge. Renormalization group analysis of the effective edge theory due to disorder and interactions explains the experimental observations.
View original: http://arxiv.org/abs/1305.6029

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