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arXiv · 1711.03326

Density of States under non-local interactions III. N-particle Bernoulli--Anderson model

Victor Chulaevsky
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Abstract

Following [7,8], we analyze regularity properties of single-site probability distributions of the random potential and of the Integrated Density of States (IDS) in the Anderson models with infinite-range interactions and arbitrary nontrivial probability distributions of the site potentials. In the present work, we study $2$-particle Anderson Hamiltonians on a lattice and prove spectral and strong dynamical localization at low energies, with exponentially decaying eigenfunctions, for a class of site potentials featuring a power-law decay.

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Victor Chulaevsky. 2017-11-09. Density of States under non-local interactions III. N-particle Bernoulli--Anderson model. https://arxiv.org/abs/1711.03326

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