Year: 1998
Type: article
Abstract: We study the persistent edge current in the fractional quantum Hall effect. We give the grand partition functions for edge excitations of hierarchical states coupled to an Aharanov-Bohm flux and derive the exact formula of the persistent edge current. Any $m\mathrm{th}$ hierarchical state, with $m>1$, exhibits anomalous oscillations in its flux dependence at low temperatures. The current as a function of the flux converges to the sawtooth function with period ${\ensuremath{\varphi}}_{0}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}hc/e$ at zero temperature. This phenomenon provides a new evidence for exotic condensation in the fractional quantum Hall effect. We propose experiments to measure the persistent edge current and thus to verify the existence of the hierarchy.
Source: Physical Review Letters
Author: Kazusumi Ino
Institution: The University of Tokyo
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2064283605