139 citations · 139 across the 3 of their papers we have counts for
4 papers
Connecting finite-size scaling and renormalization-group flows in Anderson localization on random graphs
Ignacio García-Mata, Weitao Chen, John Martin +2
We investigate the relation between two complementary descriptions of the Anderson transition on small-world random graphs: finite-size scaling of eigenfunction moments and renorma…
Quantum analogues of exponential sensitivity: from Loschmidt echo to Krylov complexity
Ignacio García-Mata, Diego A. Wisniacki
One of the fundamental manifestations of classical chaos is exponential sensitivity to initial conditions that is, two trajectories starting from nearly identical initial states di…
Critical Dynamics of the Anderson Transition on Small-World Graphs
Weitao Chen, Ignacio García-Mata, John Martin +3
The Anderson transition on random graphs draws interest through its resemblance to the many-body localization (MBL) transition with similarly debated properties. In this Letter, we…
Scaling theory of the Anderson transition in random graphs: ergodicity and universality
Ignacio García-Mata, Olivier Giraud, Bertrand Georgeot +3
We study the Anderson transition on a generic model of random graphs with a tunable branching parameter , through large scale numerical simulations and finite-size scalin…