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8 papers · 1 filter
Generalized multifractality at spin quantum Hall transition
Jonas F. Karcher, Noah Charles, Ilya A. Gruzberg +1
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-localization critical points. We explore generalized multifractality in 2D systems, with the…
From Anderson localization on Random Regular Graphs to Many-Body localization
K. S. Tikhonov, A. D. Mirlin
The article reviews the physics of Anderson localization on random regular graphs (RRG) and its connections to many-body localization (MBL) in disordered interacting systems. Prope…
Robustness of delocalization to the inclusion of soft constraints in long-range random models
P. A. Nosov, I. M. Khaymovich
Motivated by the constrained many-body dynamics, the stability of the localization-delocalization properties to the inclusion of the soft constraints is addressed in random matrix…
Critical behavior at the localization transition on random regular graphs
K. S. Tikhonov, A. D. Mirlin
We study numerically the critical behavior at the localization transition in the Anderson model on infinite Bethe lattice and on random regular graphs. The focus is on the case of…
Multifractality of wave functions on a Cayley tree: From root to leaves
M. Sonner, K. S. Tikhonov, A. D. Mirlin
We explore the evolution of wave-function statistics on a finite Bethe lattice (Cayley tree) from the central site ("root") to the boundary ("leaves"). We show that the eigenfuncti…
Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary
K. S. Tikhonov, A. D. Mirlin
We investigate analytically and numerically eigenfunction statistics in a disordered system on a finite Bethe lattice (Cayley tree). We show that the wave function amplitude at the…