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Quantum Transport in Mesoscopic SystemsComplexity and Statistical Fluctuations. A Maximum Entropy Viewpoint$
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Pier A. Mello and Narendra Kumar

Print publication date: 2004

Print ISBN-13: 9780198525820

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198525820.001.0001

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AN INTRODUCTION TO LOCALIZATION THEORY

AN INTRODUCTION TO LOCALIZATION THEORY

Chapter:
(p.329) 8 AN INTRODUCTION TO LOCALIZATION THEORY
Source:
Quantum Transport in Mesoscopic Systems
Author(s):

Pier A. Mello

Narendra Kumar

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198525820.003.0008

This chapter treats the weak localization effects in disordered conductors due to coherent back-scattering and the resulting quantum correction to dc conductivity. The impurity-diagram technique is introduced in a simplified manner. The contents of this chapter include strong localization; mobility edge; coherent back-scattering (CBS); weak localization: one-parameter scaling theory; quantum correction to dc conductivity; ensemble-averaged Green's function in the self-consistent Born approximation; and the maximally-crossed diagrams.

Keywords:   strong localization, mobility edge, coherent backscattering, weak localization, quantum correction, impurity-diagram technique, maximally crossed diagram

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