Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices Physical Interpretation and Applications /

• Main Author: Kostadinova, Evdokiya Georgieva (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Condensed matter.; Physics.; Plasma (Ionized gases).; Statistical physics.; Mathematical physics.; Partial differential equations.; Condensed Matter Physics.; Mathematical Methods in Physics.; Plasma Physics.; Statistical Physics and Dynamical Systems.; Mathematical Physics.; Partial Differential Equations.

This thesis introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geome...

Table of Contents:

• Chapter1. Introduction
• Chapter2. Theoretical Background
• Chapter3. Spectral Approach
• Chapter4. Delocalization in 2D Lattices of Various Geometries
• Chapter5. Transport in the Two-Dimentional Honeycomb Lattice with Substitutional Disorder
• Chapter6. Transport in 2D Complex Plasma Crystals
• Chapter7. Conclusions.