Classical transport within the scattering formalism
- 15 May 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 35 (15) , 8256-8259
- https://doi.org/10.1103/physrevb.35.8256
Abstract
The quantum composition rule for two multichannel scatterers (i.e., two pieces of a wire) in series is used to derive classical scaling (Ohm’s law). Scattering processes leading to the classical behavior are identified and separated from quantum interference processes, which are responsible for quantum localization and anomalous conductance fluctuations.Keywords
This publication has 16 references indexed in Scilit:
- Generalized many-channel conductance formula with application to small ringsPhysical Review B, 1985
- Derivation of the Landauer conductance formulaPhysical Review B, 1981
- 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
- Maximum Metallic Resistance in Thin WiresPhysical Review Letters, 1977
- Electrical resistance of disordered one-dimensional latticesPhilosophical Magazine, 1970
- Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic ConductionIBM Journal of Research and Development, 1957
- Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction ProblemsJournal of the Physics Society Japan, 1957