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

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

Hardcover

Series: Springer Theses

Physics

ISBN10: 3030022110
ISBN13: 9783030022112
Publisher: Springer
Published: Dec 24 2018
Pages: 107
Weight: 0.78
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English
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.

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