Hall effect in percolating systems
- 1 December 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (16), 11639-11642
- https://doi.org/10.1103/physrevb.38.11639
Abstract
The interpenetrating-network model that Bergman has proposed for the Hall effect in a percolating system is discussed, and it is shown that it gives incorrect exponents in the high-dimensionality limit, because a relevant variable has been excluded. A more general model is proposed which remedies this fault. Simulations of cubic lattices up to L=20 give an estimate for the exponent which describes the divergence of the Hall coefficient at :g=0.
Keywords
This publication has 12 references indexed in Scilit:
- Percolation and conduction on the 3D Voronoi and regular networks: a second case study in topological disorderJournal of Physics C: Solid State Physics, 1984
- Critical Behavior of the Low-Field Hall Conductivity at a Percolation ThresholdPhysical Review Letters, 1983
- Exponent theory of the Hall effect and conductivity anisotropy near the percolation thresholdJournal of Physics C: Solid State Physics, 1980
- Conductivity anisotropy and the Hall effect in inhomogeneous conductors near the percolation thresholdJournal of Physics C: Solid State Physics, 1980
- Random resistor tree in an applied fieldJournal of Physics C: Solid State Physics, 1977
- Numerical simulations of the Hall effect in inhomogeneous materialsPhysical Review B, 1977
- On a relation between percolation theory and the elasticity of gelsJournal de Physique Lettres, 1976
- Effective Medium Theory for the Hall Effect in Disordered MaterialsPhysical Review Letters, 1973
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling PicturePhysical Review B, 1971
- Hall Effect and Conductivity in Porous MediaJournal of Applied Physics, 1956