We present a large-scale exact diagonalization study of the one-dimensional spin-1/2
Heisenberg model in a random magnetic field. In order to access properties at varying …

It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

The interplay between non-Hermiticity and disorder plays an important role in condensed
matter physics. Here, we report the universal critical behaviors of the Anderson transitions …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

We provide a pedagogical review on the calculation of highly excited eigenstates of
disordered interacting quantum systems which can undergo a many-body localization (MBL) …

Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

Dynamical and spatial correlations of eigenfunctions as well as energy level correlations in
the Anderson model on random regular graphs (RRG) are studied. We consider the critical …

The disorder-induced metal-insulator transition is investigated in a three-dimensional simple
cubic lattice and compared for the presence and absence of time-reversal and spin …

We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved
correlation between spectral features and structural changes of the associated eigenstates …