29 citations · 95 across the 14 of their papers we have counts for
14 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 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…
Scaling theory of fading ergodicity
Rafał Świętek, 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…
Renormalization group for Anderson localization on high-dimensional lattices
Boris L. Altshuler, Vladimir E. Kravtsov, Antonello Scardicchio +2
We discuss the dependence of the critical properties of the Anderson model on the dimension in the language of -function and renormalization group recently introduced in Ref…
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…
An analysis of localization transitions using non-parametric unsupervised learning
Carlo Vanoni, Vittorio Vitale
We propose a new viewpoint on the study of localization transitions in disordered quantum systems, showing how critical properties can be seen also as a geometric transition in the…
Renormalization Group Analysis of the Anderson Model on Random Regular Graphs
Carlo Vanoni, Boris L. Altshuler, Vladimir E. Kravtsov +1
We present a renormalization group analysis of the problem of Anderson localization on a Random Regular Graph (RRG) which generalizes the renormalization group of Abrahams, Anderso…
A hydrodynamic approach to Stark localization
Luca Capizzi, Carlo Vanoni, Pasquale Calabrese +1
When a free Fermi gas on a lattice is subject to the action of a linear potential it does not drift away, as one would naively expect, but it remains spatially localized. Here we r…
Interface dynamics in the two-dimensional quantum Ising model
Federico Balducci, Andrea Gambassi, Alessio Lerose +2
In a recent paper [Phys. Rev. Lett. 129, 120601] we have shown that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising mode…
Slow melting of a disordered quantum crystal
Federico Balducci, Antonello Scardicchio, Carlo Vanoni
The melting of the corner of a crystal is a classical, real-world, non-equilibrium statistical mechanics problem which has shown several connections with other branches of physics…
Localization and melting of interfaces in the two-dimensional quantum Ising model
Federico Balducci, Andrea Gambassi, Alessio Lerose +2
We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model -- a setup relevant in several contexts, from quantum nucleati…
Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
Claudio Arezzo, Federico Balducci, Riccardo Piergallini +2
It is well known that, if the initial conditions have sufficiently high energy density, the dynamics of the classical Discrete Non-Linear Schrödinger Equation (DNLSE) on a lattice…
Average optimal cost for the Euclidean TSP in one dimension
Sergio Caracciolo, Andrea Di Gioacchino, Enrico M. Malatesta +1
The traveling-salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We stu…