Many-body localization in a fermionic chain with quasi-random Aubry-Andre' disorder
by
Vieri Mastropietro
→
Europe/Rome
Aula Rasetti (Dipartimento di Fisica - ED. G. Marconi)
Aula Rasetti
Dipartimento di Fisica - ED. G. Marconi
Description
We consider a system of interacting electrons in a one
dimensional lattice with an incommensurate Aubry-Andre'
potential. We establish persistence of ground state localization
in presence of weak many-body interaction.The proof uses a
quantum many body extension of methods adopted for the stability
of tori of nearly integrable hamiltonian systems, and relies on
number-theoretic properties of the potential incommensurate
frequency and phase. The effects of the spin and of the coupling
of different chains will be also discussed, and comparison with
recent cold atoms experiments performed.
