Charge transfer and anderson localization in one-dimensional finite-size disordered systems

The metal–insulator transition in finite one-dimensional lattices with diagonal disorder is considered. Although the true phase transition does not occur in such systems, a conditional criterion can be introduced to distinguish the regions of localization and delocalization of eigenvectors and wave...

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Bibliographic Details
Published in:Russian journal of physical chemistry. B 2017-05, Vol.11 (3), p.481-491
Main Authors: Astakhova, T. Yu, Kashin, V. A., Vinogradov, G. A.
Format: Article
Language:English
Subjects:
Accuracy
Anderson localization
Charge transfer
Chemistry
Chemistry and Materials Science
Deoxyribonucleic acid
DNA
Eigenvectors
Electric and Magnetic Properties of Materials
Lattices
Localization
Matrices (mathematics)
Metal-insulator transition
Phase transitions
Physical Chemistry
Schrodinger equation
Wave functions
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Summary:The metal–insulator transition in finite one-dimensional lattices with diagonal disorder is considered. Although the true phase transition does not occur in such systems, a conditional criterion can be introduced to distinguish the regions of localization and delocalization of eigenvectors and wave functions, depending on the degree of disorder W . A relationship between the degree of disorder W and the characteristic length separating the localized and delocalized states is obtained: with high accuracy, ξ cr ~ W –2 . The calculations are performed by integrating the evolutional Schrodinger equations and through analyzing the spectral properties of the corresponding random matrices. The probability of charge transfer is estimated within the framework of a simple model of DNA.
ISSN:1990-7931
1990-7923
DOI:10.1134/S1990793117030022