Numerical Investigation of the DC-Conductivity and Electron Localisation in One-Dimensional Disordered Systems
作者： G. Czycholl , B. Kramer
DOI: 10.1007/978-1-4684-3899-4_21
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摘要: The Anderson model of a 1 d disordered system is investigated using two independent numerical methods. dc-conductivity, the inverse participation number, and mean square extension some eigenstates are calculated. Some transition from conducting to non-conducting state found at finite disorder in contradiction conventional theory. implications results for theory systems discussed.
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sci-hub.st 参考文章(10)
D. Szász, J. Fritz, Joel Louis Lebowitz, Random fields : rigorous results in statistical mechanics and quantum field theory North-Holland Pub. Co.. ,(1981)
A.A. Abrikosov, I.A. Ryzhkin, Conductivity of quasi-one-dimensional metal systems Advances in Physics. ,vol. 27, pp. 147- 230 ,(1978) , 10.1080/00018737800101364
G. Czycholl, Electronic transport in substitutionally disordered systems European Physical Journal B. ,vol. 30, pp. 383- 391 ,(1978) , 10.1007/BF01321091
N.F. Mott, W.D. Twose, The theory of impurity conduction Advances in Physics. ,vol. 10, pp. 107- 163 ,(1961) , 10.1080/00018736100101271
S A Molčanov, THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES Mathematics of The Ussr-izvestiya. ,vol. 12, pp. 69- 101 ,(1978) , 10.1070/IM1978V012N01ABEH001841
D. Weaire, B. Kramer, Numerical methods in the study of the Anderson transition Journal of Non-crystalline Solids. ,vol. 32, pp. 131- 140 ,(1979) , 10.1016/0022-3093(79)90069-3
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
D. Weaire, B. Kramer, Numerical methods for electronic properties of disordered solids Journal of Non-crystalline Solids. pp. 9- 14 ,(1980) , 10.1016/0022-3093(80)90565-7
G. Czycholl, B. Kramer, Nonvanishing zero temperature static conductivity in one dimensional disordered systems Solid State Communications. ,vol. 32, pp. 945- 951 ,(1979) , 10.1016/0038-1098(79)90803-2
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