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 Localization at low energies in the multi-particle tight-binding model


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We consider the multi-particle Anderson tight-binding model and prove that its lower spectral edge is non-random under some mild assumptions on the inter-particle interaction and the random external potential. We also adapt to the low energy regime the multi-particle multi-scale analysis initially developed by Chulaevsky and Suhov in the high disorder limit, if the marginal probability distribution of the i.i.d. random variables is log-H\-older continuous and obtain the spectral exponential and strong dynamical localization near the bottom of the spectrum.



Author: Trésor Ekanga

Source: https://archive.org/







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