The relation between transport coefficients and scattering matrices in strong magnetic fields
- 20 August 1988
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 21 (23) , 4357-4365
- https://doi.org/10.1088/0022-3719/21/23/017
Abstract
The relation between DC resistance of a finite system with static disorder and its transmission matrix is derived from the Kubo formula. The effect of magnetic field applied perpendicular to the current flow is taken into account. In the single-channel case the Landauer-like formulae for resistance and conductance tensors are obtained.Keywords
This publication has 14 references indexed in Scilit:
- Transmission coefficient of an electron through a saddle-point potential in a magnetic fieldPhysical Review B, 1987
- Generalized many-channel conductance formula with application to small ringsPhysical Review B, 1985
- Quantized magnetoresistance in two-dimensional electron systemsPhysical Review B, 1983
- Relation between conductivity and transmission matrixPhysical Review B, 1981
- New method for scaling theory of localization. II. Multichannel theory of a "wire" and possible extension to higher dimensionalityPhysical Review B, 1981
- Quantum delta -dimensional Landauer formulaJournal of Physics C: Solid State Physics, 1981
- New method for a scaling theory of localizationPhysical Review B, 1980
- Electrical resistance of disordered one-dimensional latticesPhilosophical Magazine, 1970
- Absence of Diffusion in Certain Random LatticesPhysical Review B, 1958
- Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic ConductionIBM Journal of Research and Development, 1957