The effect of mesoscopic conductance fluctuations on macroscopic conductances
作者:
Morrel H. Cohen,
Adrianus M. M. Pruisken,
期刊:
AIP Conference Proceedings
(AIP Available online 1992)
卷期:
Volume 286,
issue 1
页码: 213-221
ISSN:0094-243X
年代: 1992
DOI:10.1063/1.44721
出版商: AIP
数据来源: AIP
摘要:
The existence of mesoscopic conductance fluctuations invalidates the traditional concept of impurity average conductances even for metallic systems which are much larger than the inelastic scattering length. We use the methodology of classical conductance networks in order to incorporate the effect of mesoscopic conductance fluctuations in a self consistent, extended scheme for computing macroscopic conductances. Scaling ideas are reconsidered with a main emphasis on the 2D disordered electron gas and, in particular, the integral quantum Hall regime. We find that the singularity structure of the theories of ‘‘macroscopic’’ and ‘‘impurity averaged’’ conductances are quite generally the same. Significant numerical differences may occur, however, in the regime of strong quantum interference effects.
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