Quantization of particle transport
- 15 May 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 27 (10) , 6083-6087
- https://doi.org/10.1103/physrevb.27.6083
Abstract
The integrated particle current produced by a slow periodic variation of the potential of a Schrödinger equation is evaluated. It is shown that in a finite torus the integral of the current over a period can vary continuously, but in an infinite periodic system with full bands it must have an integer value. This quantization of particle transport is used to classify the energy gaps in a one-dimensional system with competing or incommensurate periods. It is also used to rederive Prange's results for the fractional charge of a soliton.Keywords
This publication has 6 references indexed in Scilit:
- Quantized Hall Conductance in a Two-Dimensional Periodic PotentialPhysical Review Letters, 1982
- Conditions for charge fractionalizationPhysical Review B, 1982
- Soliton excitations in polyacetylenePhysical Review B, 1980
- Solitons in PolyacetylenePhysical Review Letters, 1979
- The intersection of potential energy surfaces in polyatomic moleculesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1975
- Intersection of potential energy surfaces in polyatomic moleculesDiscussions of the Faraday Society, 1963