Edge reconstruction in the ν=2/3 fractional quantum Hall state.
The edge structure of the ν=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(e2/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 ν=1/3 incompressible strip near the edge. Renormalization group analysis of the effective edge theory due to disorder and interactions explains the experimental observations.
Department of Physics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel and Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
Jianhui
J
Wang
Department of Physics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel and Ilse Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel.
Yigal
Y
Meir
Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
Yuval
Y
Gefen