The electrical conductivity of interacting 2D electrons in a magnetic field
- 30 January 1987
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 20 (3) , L25-L31
- https://doi.org/10.1088/0022-3719/20/3/002
Abstract
The conductivity of a system of 2D electrons interacting in the presence of impurities in a magnetic field is studied theoretically. It is shown that the current obeys a sum rule similar to the one found in the case of the integer quantum Hall effect. The theoretical results are illustrated with the aid of finite-size computations and their relevance to the fractional quantum Hall effect is discussed.Keywords
This publication has 12 references indexed in Scilit:
- Diophantine Equation for the Hall Conductance of Interacting Electrons on a TorusPhysical Review Letters, 1986
- Clustering and the ground state of interacting 2D electrons in a magnetic fieldJournal of Physics C: Solid State Physics, 1986
- Symmetry properties of interacting two-dimensional electrons in a magnetic fieldJournal of Physics C: Solid State Physics, 1985
- Quantized Hall conductance as a topological invariantPhysical Review B, 1985
- Comments on the equilibrium theory of the quantum hall effectSolid State Communications, 1984
- Quantized Hall conductance: Effect of random potentialsZeitschrift für Physik B Condensed Matter, 1983
- The Hall effect in a two-dimensional electron gasJournal of Physics C: Solid State Physics, 1983
- Effect of localization on the hall conductivity in the two-dimensional system in strong magnetic fieldsSolid State Communications, 1981
- Quantized Hall resistance and the measurement of the fine-structure constantPhysical Review B, 1981
- Quantum Theory of Galvanomagnetic Effect at Extremely Strong Magnetic FieldsPublished by Elsevier ,1965