Title: Coupled identical localized fermionic chains with quasi-random disorder,
Abstract: We analyze the ground state localization properties of an array of identical
interacting spinless fermionic chains with quasi-random disorder, using
non-perturbative Renormalization Group methods. In the single or two chains
case localization persists while for a larger number of chains a different
qualitative behavior is generically expected, unless the many body interaction
is vanishing. This is due to number theoretical properties of the frequency,
similar to the ones assumed in KAM theory, and cancellations due to Pauli
principle which in the single or two chains case imply that all the effective
interactions are irrelevant; in contrast for a larger number of chains relevant
effective interactions are present.