1203.1207 (Trésor Ekanga)

Two-particle Anderson localization at low energies    [PDF]

Trésor Ekanga

We prove exponential spectral localization in a two-particle lattice Anderson model, with a short-range interaction and external random i.i.d. potential, at sufficiently low energies. The proof is based on the multi-particle multi-scale analysis developed earlier by Chulaevsky and Suhov (2009) in the case of high disorder. Our method applies to a larger class of random potentials than in Aizenman and Warzel (2009) where dynamical localization was proved with the help of the fractional moment method.

View original: http://arxiv.org/abs/1203.1207