Localization Properties of 1D Disordered Systems in the Presence of An Electric Field

作者: A. Brezini , M. Sebbani , C. Depollier

DOI: 10.1002/PSSB.2221850206

关键词: Random variableCondensed matter physicsRectangular potential barrierAnderson impurity modelElectron localization functionElectronParticle in a one-dimensional latticeConstant (mathematics)ChemistryElectric fieldElectronic, Optical and Magnetic Materials

摘要: A Kronig-Penney model with a constant electric field is used to examine the transmission properties of electrons in one-dimensional disordered systems. Disorder introduced into system by assuming that strengths δ-function potential are random variables uniformly distributed. In particular cases where strength varies from 0 W (barriers) and −W (wells) considered. Extensive results presented compared other theories.

参考文章(27)
J. Sak, B. Kramer, Transmission of particles through a random one-dimensional potential Physical Review B. ,vol. 24, pp. 1761- 1770 ,(1981) , 10.1103/PHYSREVB.24.1761
Gerd Bergmann, Influence of electric field on weak localization European Physical Journal B. ,vol. 49, pp. 133- 138 ,(1982) , 10.1007/BF01314749
D Weaire, A R Williams, The Anderson localization problem. I. A new numerical approach Journal of Physics C: Solid State Physics. ,vol. 10, pp. 1239- 1245 ,(1977) , 10.1088/0022-3719/10/8/025
G. V. Vijayagovindan, A. M. Jayannavar, N. Kumar, Electric-field-dependent average resistance and the resistance fluctuation in one-dimensional disordered systems. Physical Review B. ,vol. 35, pp. 2029- 2032 ,(1987) , 10.1103/PHYSREVB.35.2029
J. Bellissard, A. Formoso, R. Lima, D. Testard, Quasiperiodic interaction with a metal-insulator transition Physical Review B. ,vol. 26, pp. 3024- 3030 ,(1982) , 10.1103/PHYSREVB.26.3024
D.J. Thouless, Electrons in disordered systems and the theory of localization Physics Reports. ,vol. 13, pp. 93- 142 ,(1974) , 10.1016/0370-1573(74)90029-5
Kazushige Ishii, Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System Progress of Theoretical Physics Supplement. ,vol. 53, pp. 77- 138 ,(1973) , 10.1143/PTPS.53.77
Rolf Landauer, Electrical resistance of disordered one-dimensional lattices Philosophical Magazine. ,vol. 21, pp. 863- 867 ,(1970) , 10.1080/14786437008238472