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Published on: May 15, 2017
Plateau Behavior in the Chiral Luttinger Liquid Exponent
1Department of Physics, Purdue University, West Lafayette, Indiana 47907 and National Tsing-Hua University, 101 Kuang-Fu Road, Section 2, Hsin-Chu, Taiwan, Republic of China.
Abstract:
The current-voltage power law exponent, alpha, for electron tunneling into chiral Luttinger liquids at the fractional quantum Hall edge is found to exhibit a plateaulike structure at alpha close to 3 as the filling factor, nu, is varied. The presence of a plateau near alpha = 3 strongly suggests a fundamental connection between alpha and the structure of the underlying quantum ground states associated with the robust incompressible nu = 1/3 Hall fluid. However, the position in the inverse filling factor where the plateau occurs can vary between samples and appears shifted to values higher than expected from theory.
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