Mathematics and Statistics Vol. 5(1), pp. 19 - 24
DOI: 10.13189/ms.2017.050103
Reprint (PDF) (256Kb)

A Remark on Exponential Dynamical Localization in a Long-range Potential

Victor Chulaevsky ^*
Department of Mathematics, University of Reims, France

ABSTRACT

Exponential decay of eigenfunctions and of their correlators is shown to occur in two Anderson models on the lattice of arbitrary dimension, with summable decay of infinite-range correlations of the random potential. For the proof, we check the applicability of the Fractional Moment Method.

KEYWORDS
Anderson Localization, Long-range Potentials

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Victor Chulaevsky , "A Remark on Exponential Dynamical Localization in a Long-range Potential," Mathematics and Statistics, Vol. 5, No. 1, pp. 19 - 24, 2017. DOI: 10.13189/ms.2017.050103.

(b). APA Format:
Victor Chulaevsky (2017). A Remark on Exponential Dynamical Localization in a Long-range Potential. Mathematics and Statistics, 5(1), 19 - 24. DOI: 10.13189/ms.2017.050103.