5 papers
Semi-fractality and localization on a chiral Cayley tree
Carlo Vanoni, Vladimir E. Kravtsov, Boris L. Altshuler
We study a quantum particle hopping on an infinite Cayley tree with nearest-neighbor hopping amplitudes drawn from a distribution singular as near weak links and no on-s…
Scaling theory of fading ergodicity
RafaÅ ÅwiÄtek, Miroslav Hopjan, Carlo Vanoni +2
In most noninteracting quantum systems, the scaling theory of localization predicts one-parameter scaling flow in both ergodic and localized regimes. On the other hand, it is expec…
Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
Jacopo Niedda, Giacomo Bracci-Testasecca, Giuseppe Magnifico +3
We analyze the spectral properties of the Heisenberg spin-1/2 chain with random fields in light of recent works of the renormalization-group flow of the Anderson model in infinite…
Scaling analysis and renormalization group on the mobility edge in the quantum random energy model
Federico Balducci, Giacomo Bracci-Testasecca, Jacopo Niedda +2
Building on recent progress in the study of Anderson and many-body localization via the renormalization group (RG), we examine the scaling theory of localization in the quantum Ran…
Investigating finite-size effects in random matrices by counting resonances
Anton Kutlin, Carlo Vanoni
Resonance counting is an intuitive and widely used tool in Random Matrix Theory and Anderson Localization. Its undoubted advantage is its simplicity: in principle, it is easily app…