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Anderson Localization in Anisotropically Random Media

Published online by Cambridge University Press:  28 February 2011

Ping Sheng ,
Weige Xue ,
Zhao-Qing Zhang  and
Q. J. Chu
Ping Sheng
Affiliation:
Exxon Research & Engineering Co., Route 22 East, Annandale, NJ 08801
Weige Xue
Affiliation:
Exxon Research & Engineering Co., Route 22 East, Annandale, NJ 08801
Zhao-Qing Zhang
Affiliation:
Academia Sinica, Beijing, China
Q. J. Chu
Affiliation:
Academia Sinica, Beijing, China
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Abstract

Dimensional cross-over behavior of Anderson localization is presented. By delineating the physical basis of localization, it is shown that the localization phenomenon is sensitive to the spatial dimension of the randomness. Analytic and numerical results demonstrate that in an anisotropically random medium there is a critical amount of anisotropy which separates the system behavior into a ID-like regime and a 3D-like regime. Dimensional crossover is proposed as a viable experimental approach to observe the mobility edge.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 195: Symposium S – Physical Phenomena in Granular Materials , 1990 , 193
Copyright
Copyright © Materials Research Society 1990

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References

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