57 citations · 122 across the 9 of their papers we have counts for
7 papers · 1 filter
Quantum logarithmic multifractality
Weitao Chen, Olivier Giraud, Jiangbin Gong +1
Through a combination of rigorous analytical derivations and extensive numerical simulations, this work reports an exotic multifractal behavior, dubbed "logarithmic multifractality…
Kardar-Parisi-Zhang Physics in the Density Fluctuations of Localized Two-Dimensional Wave Packets
Sen Mu, Jiangbin Gong, Gabriel Lemarié
We identify the key features of Kardar-Parisi-Zhang universality class in the fluctuations of the wave density logarithm, in a two-dimensional Anderson localized wave packet. In ou…
Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
Ankita Chakrabarti, Cyril Martins, Nicolas Laflorencie +3
We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particula…
Coherent forward scattering as a robust probe of multifractality in critical disordered media
Maxime Martinez, Gabriel Lemarié, Bertrand Georgeot +2
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully…
Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization
Ignacio García-Mata, John Martin, Olivier Giraud +3
The Anderson transition in random graphs has raised great interest, partly because of its analogy with the many-body localization (MBL) transition. Unlike the latter, many results…
A stabilization mechanism for many-body localization in two dimensions
D. C. W. Foo, N. Swain, P. Sengupta +2
Experiments in cold atom systems see almost identical signatures of many body localization (MBL) in both one-dimensional () and two-dimensional () systems despite the the…
Glassy properties of Anderson localization: pinning, avalanches and chaos
Gabriel Lemarié
I present the results of extensive numerical simulations which reveal the glassy properties of Anderson localization in dimension two at zero temperature: pinning, avalanches and c…