Detection of fractional charge and quenching of the quantum Hall effect
- 15 April 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 47 (16) , 10423-10436
- https://doi.org/10.1103/physrevb.47.10423
Abstract
A two-dimensional electron gas in the fractional-quantum-Hall-effect (FQHE) regime is characterized by fractionally charged excitations =νe(ν<1). Given the appropriate geometry, can one observe multiple Aharonov-Bohm (MAB) oscillations of basic periodicity h/? We show that such oscillations may indeed be observed over a time scale that can be made macroscopically long. This is the result of a dynamical symmetry breaking of the ground state. When fractional charges become abundant, only standard AB oscillations (of period h/e) will be observed, and the measured FQHE conductivity will be quenched either to zero or to a nontrivial integer. These effects may be manifested in dc measurements as well, the physics being related to that discussed in the context of the Coulomb blockade.
Keywords
This publication has 19 references indexed in Scilit:
- Conductance through a quantum dot in the fractional quantum Hall regimePhysical Review B, 1992
- Semiclassical theory of localized many-anyon statesPhysical Review Letters, 1990
- Comment on ‘‘Resistance fluctuations in narrow AlGaAs/GaAs heterostructures: Direct evidence of fractional charge in the fractional quantum Hall effect’’Physical Review Letters, 1990
- Resistance fluctuations in narrow AlGaAs/GaAs heterostructures: Direct evidence of fractional charge in the fractional quantum hall effectPhysical Review Letters, 1989
- Methods to measure the charge of the quasiparticles in the fractional quantum Hall effectPhysical Review B, 1989
- Quantum Hall effect in quasi one-dimensional systems: Resistance fluctuations and breakdownPhysical Review Letters, 1988
- Fractional Statistics and the Quantum Hall EffectPhysical Review Letters, 1984
- Statistics of Quasiparticles and the Hierarchy of Fractional Quantized Hall StatesPhysical Review Letters, 1984
- Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid StatesPhysical Review Letters, 1983
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983