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6 papers · 2 filters
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…
Persistent homology analysis of a generalized Aubry-André-Harper model
Yu He, Shiqi Xia, Dimitris G. Angelakis +3
Observing critical phases in lattice models is challenging due to the need to analyze the finite time or size scaling of observables. We study how the computational topology techni…
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…
Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
Nicolas Laflorencie, Gabriel Lemarié, Nicolas Macé
We numerically explore -symmetric random interacting Ising-Majorana chains at high energy. A very rich phase diagram emerges with two topologically distinct many-body…