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Theoretical Background

  • Evdokiya Georgieva Kostadinova
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

This chapter provides a review of some of the more fundamental developments in the theory of Anderson localization, including Andersson’s original method, Edwards and Thouless approach, and scaling theory. Section 2.1 presents a list of criteria, which have been used over the years as a qualitative distinction between localized and extended states. We emphasize the dependence of the discussed criteria on mean free path and system size. Sections 2.2 through 2.4 focus in more detail on three specific theoretical/numerical methods, which we consider the ‘backbone’ of the existing transport theory. The goal of this chapter is to outline the main features of the well-established models for localization, which will allow for a meaningful comparison with the spectral approach introduced in Chap.  3.

Keywords

Anderson model Edwards and Thouless model Scaling theory 

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Evdokiya Georgieva Kostadinova
    • 1
  1. 1.Center for Astrophysics, Space Physics and Engineering ResearchBaylor UniversityWacoUSA

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