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Surface Localization in Impurity Band with Random Displacements and Long-Range Interactions
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the random Schrödinger operators in a Euclidean space with the disorder generated by two complementary mechanisms: random substitution in a lower-dimensional layer and random displacements in the bulk, without additional assumptions regarding the reflection symmetry of the site potentials.
The latter are assumed to be bounded and have a power-law decay.
Complementing earlier results obtained in the strong disorder regime, we establish spectral and strong dynamical localization in the impurity zone near the bottom of spectrum for arbitrarily weak amplitudes of the random displacements, provided the concentration of impurities is sufficiently small.
American Psychological Association (APA)
Chulaevsky, Victor. 2018. Surface Localization in Impurity Band with Random Displacements and Long-Range Interactions. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1119252
Modern Language Association (MLA)
Chulaevsky, Victor. Surface Localization in Impurity Band with Random Displacements and Long-Range Interactions. Advances in Mathematical Physics No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1119252
American Medical Association (AMA)
Chulaevsky, Victor. Surface Localization in Impurity Band with Random Displacements and Long-Range Interactions. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1119252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119252