I will present a renormalization group analysis of the problem of the Anderson localization on a Regular Random Graph which is the limit of the RG flow of Abrahams, Anderson, Licciardello, and Ramakrishnan to infinite-dimensional graphs.
I will show how the one-parameter scaling hypothesis is recovered for sufficiently large system sizes for both eigenstates and spectrum observables and explain the non-monotonic behavior of dynamical and spectral quantities as a function of the system size for values of disorder close to the transition. I will show the implications of our work for Many-Body Localization.
De Anatoli Polkovnikov
De Antonello Scardicchio
De Zizhuo Tony Jin
De Dganit Meidan
De Xhek Turkeshi
De Christiane Koch
De Liliana Arrachea
De Mauro Paternostro
De Albert Schwarz
De Albert Schwarz
De Clément Delcamp
De Stephen Coombes , Peter Liddle
De Victor Kleptsyn
De François-Xavier Vialard
