FM 8-16 . arXiv: 1604.08264

 

Vieri Mastropietro

To appear in Comm. Math. Phys.

 

 

Author : Vieri Mastropietro            

Title: Localization in interacting fermionic chains with quasi-random disorder

Abstract: We consider a system of fermions  with a quasi-random almost-Mathieu disorder interacting through a many-body short range potential. We establish exponential decay of the zero temperature correlations, indicating localization of the interacting ground state, for weak hopping and interaction and almost everywhere in the frequency and phase; this extends the analysis in a previous paper to chemical potentials outside spectral gaps. The proof is based on Renormalization Group and is inspired by techniques developed to deal with KAM Lindstedt series.

Keywords: Many body localization