scholarly journals Effect of Anderson Localization on Auger Destruction of DNA

2012 ◽  
Vol 2012 ◽  
pp. 1-3
Author(s):  
N. N. Turaeva ◽  
S. Schroeder ◽  
B. L. Oksengendler
Keyword(s):  
Theoretical Model ◽  
Radiation Resistance ◽  
Anderson Localization ◽  
Localized States ◽  
Cascade Process ◽  
Electron States ◽  
Delocalized Electron

The effect of Anderson localization in DNA on the Auger destruction by the Coulombic explosion at ionized radiation has been theoretically discussed in the present work. The theory of Auger destruction of DNA has been modified taking into account the localized and delocalized electron states in DNA owing to the correlated disorder in a sequence of nucleotides. According to the modified theoretical model of Auger destruction, the dominant ratio of delocalized states to localized states in exon compared to intron results in stronger radiation resistance of exons to ionized irradiation causing the Auger-cascade process than the radiation resistance of introns.

Delocalized Electron States in Quantum Dot Molecules

2007 ◽  
Author(s):  
T. van Lippen ◽  
R. Nötzel ◽  
A. Yu. Silov ◽  
J. H. Wolter
Keyword(s):  
Quantum Dot ◽  
Electron States ◽  
Quantum Dot Molecules ◽  
Delocalized Electron

Long-Lived Delocalized Electron States in Quantum Dots:  A Step-Scan Fourier Transform Infrared Study

2000 ◽  
Vol 104 (7) ◽  
pp. 1494-1496 ◽  
Author(s):  
Moonsub Shim ◽  
Sergej V. Shilov ◽  
Mark S. Braiman ◽  
Philippe Guyot-Sionnest
Keyword(s):  
Quantum Dots ◽  
Fourier Transform ◽  
Fourier Transform Infrared ◽  
Infrared Study ◽  
Electron States ◽  
Delocalized Electron

scholarly journals Anderson localization of electron states in a quasicrystal

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Shuvam Sarkar ◽  
Marian Krajčí ◽  
Pampa Sadhukhan ◽  
Vipin Kumar Singh ◽  
Andrei Gloskovskii ◽  
...  
Keyword(s):  
Anderson Localization ◽  
Electron States

scholarly journals Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials

2020 ◽  
Vol 30 (05) ◽  
pp. 917-955 ◽  
Author(s):  
Robert Altmann ◽  
Patrick Henning ◽  
Daniel Peterseim
Keyword(s):  
Spectral Properties ◽  
Anderson Localization ◽  
Eigenvalue Problems ◽  
High Amplitude ◽  
Iterative Solvers ◽  
Localized States ◽  
Convergence Theory ◽  
Bounded Domains ◽  
Spectral Gaps ◽  
Rate Of Decay

This paper analyzes spectral properties of linear Schrödinger operators under oscillatory high-amplitude potentials on bounded domains. Depending on the degree of disorder, we prove the existence of spectral gaps among the lowermost eigenvalues and the emergence of exponentially localized states. We quantify the rate of decay in terms of geometric parameters that characterize the potential. The proofs are based on the convergence theory of iterative solvers for eigenvalue problems and their optimal local operator preconditioning by domain decomposition.

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