Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices
Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices:
Physical Interpretation and Applications (Springer Theses)
by Evdokiya Georgieva Kostadinova
English | 2018 | ISBN: 3030022110 | 107 Pages | PDF,EPUB | 17 MB
Physical Interpretation and Applications (Springer Theses)
by Evdokiya Georgieva Kostadinova
English | 2018 | ISBN: 3030022110 | 107 Pages | PDF,EPUB | 17 MB
This book 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 geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered.