Effective-medium theory of conductivity and Hall effect in two dimensions
- 28 August 1979
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 12 (16) , 3389-3393
- https://doi.org/10.1088/0022-3719/12/16/026
Abstract
Symmetrical effective-medium theory is used to find the conductivity and Hall effect of a two-dimensional binary mixture. Results are given in detail in the limit of low applied magnetic field, when the expressions for the Hall coefficients simplify to linear combinations of the corresponding quantities for the components. The Hall constant of a two-dimensional conductor is found to be insensitive to addition of relatively resistive inclusions until their concentration reaches 0.5, which is the percolation limit if the added component is insulating.Keywords
This publication has 5 references indexed in Scilit:
- Effective Medium Theory for the Hall Effect in Disordered MaterialsPhysical Review Letters, 1973
- Classical Transport in Disordered Media: Scaling and Effective-Medium TheoriesPhysical Review Letters, 1971
- Hall Effect and Conductivity in Porous MediaJournal of Applied Physics, 1956
- The Electrical Resistance of Binary Metallic MixturesJournal of Applied Physics, 1952
- Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen SubstanzenAnnalen der Physik, 1935