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arXiv · 1409.7424

Eigenfunction Statistics for Anderson Model with H\"{o}lder continuous single site Potential

Dhriti Ranjan Dolai·Anish Mallick
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Abstract

We consider random Schr\"{o}dinger operators on $\ell^2(\mathbb{Z}^d)$ when the distribution of single site potentials is $\alpha$-H\"{o}lder continuous ($0<\alpha\leq 1$). In localized regime we study the distribution of eigenfunctions simultaneously in space and energy. In a certain scaling limit we prove limits point are Poisson.

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BibTeXRIS

Dhriti Ranjan Dolai, Anish Mallick. 2014-09-25. Eigenfunction Statistics for Anderson Model with H\"{o}lder continuous single site Potential. https://doi.org/10.1007/s12044-016-0301-8

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