Density of States under non-local interactions III. N-particle Bernoulli--Anderson model
Mathematical Physics
2017-11-10 v1 math.MP
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 -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.
Keywords
Cite
@article{arxiv.1711.03326,
title = {Density of States under non-local interactions III. N-particle Bernoulli--Anderson model},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1711.03326},
year = {2017}
}