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Disorder and interference: localization phenomena

Cord A. Müller and Dominique Delande

in Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199603657
eISBN:
9780191729515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199603657.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In the presence of disorder, classical transport is usually diffusive. This chapter deals with the effect of interference between multiply scattered waves on transport properties. Interference may ... More


AN INTRODUCTION TO LOCALIZATION THEORY

Pier A. Mello and Narendra Kumar

in Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

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 ... More


Diffusive quantum transport

Thomas Ihn

in Semiconductor Nanostructures: Quantum states and electronic transport

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199534425
eISBN:
9780191715297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534425.003.0015
Subject:
Physics, Condensed Matter Physics / Materials

Based on the discussion of electron interference in Chapter 14, this chapter returns to electronic transport in large diffusive systems. It discusses the weak localization effect, i.e., quantum ... More


Electrons and Disorder in Solids

V. F. Gantmakher

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book contains modern concepts about the physics of electrons in solids. It is written using a minimum of mathematics, with the emphasis on various physical models aimed at stimulating creative ... More


QUANTUM CORRECTIONS TO CONDUCTIVITY

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces two types of quantum corrections to the conductivity originating from the wave component of the electron nature. The first is due to interference between different replica of ... More


Introduction to Metal–Insulator Transitions

V. Dobrosavljević

in Conductor-Insulator Quantum Phase Transitions

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199592593
eISBN:
9780191741050
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199592593.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This Overview provides a general introduction to metal-insulator transitions, with focus on specific mechanisms that can localize the electrons in absence of magnetic or charge ordering, and produce ... More


Anderson Localization

Keith Slevin and Tomi Ohtsuki

in Conductor-Insulator Quantum Phase Transitions

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199592593
eISBN:
9780191741050
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199592593.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews briefly the theory of the Anderson localisation of electrons. In disordered materials at low temperatures, quantum interference may lead to the suppression of diffusion. If this ... More


SCALING HYPOTHESIS

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents phenomenological scaling theory of quantum metal-insulator transition of non-interacting electrons. It confirms the existence of the transition in 3D-system; and elucidates the ... More


Electrical Transport in Highly Disordered Media: Localization/Interaction Effects

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0043
Subject:
Physics, Condensed Matter Physics / Materials

The previous discussions of electrical transport, either semi-classically, via the Boltzmann transport equation, as in Chapter 19, or more quantum mechanically, as is in Chapter 42, generally fail as ... More


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