Jump to ContentJump to Main Navigation
Analysis and Stochastics of Growth Processes and Interface Models$
Users without a subscription are not able to see the full content.

Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer

Print publication date: 2008

Print ISBN-13: 9780199239252

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780199239252.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 17 December 2018

A Short Introduction to Anderson Localization

A Short Introduction to Anderson Localization

Chapter:
(p.194) 9 A Short Introduction to Anderson Localization
Source:
Analysis and Stochastics of Growth Processes and Interface Models
Author(s):

Dirk Hundertmark

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199239252.003.0009

Anderson localization is another physical problem that has spurred much mathematical research. The issue here is how disorder, such as random changes in the spacing of a crystal, influences the movement of electrons and thus the crystal's conductivity. In 1977, Anderson was awarded the Nobel prize for his investigations on this subject. This chapter introduces the physical model, based on a random Schrodinger operator, and carefully reviews different notions of localization as well as rigorous proofs of localization. A very readable introduction to finite-volume criteria for localization via percolation arguments is followed by an elegant proof of localization for large disorder.

Keywords:   Anderson localization, random Schrodinger operator

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .