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 transition between ergodic and many-body localization (MBL) phases lies at the heart of
understanding quantum thermalization of many-body systems. Here, we predict a many …

We study a one-dimensional XXZ spin chain in a random field on the metallic side of the
many-body localization transition by level statistics. For a fixed interaction, and intermediate …

The distribution of the ratios of nearest neighbor level spacings has become a popular
indicator of spectral fluctuations in complex quantum systems such as the localized and …

We study spectral properties and the dynamics after a quench of one-dimensional spinless
fermions with short-range interactions and long-range random hop**. We show that a …

We propose a plasma model for spectral statistics displaying level repulsion without long-
range spectral rigidity, ie statistics intermediate between random matrix and Poisson …

We study the dependence on the spatial dimensionality of different quantities relevant in the
description of the Anderson transition by combining numerical calculations in a 3⩽ d⩽ 6 …

Macroscopic manifestations of quantum mechanics are among the most spectacular effects
of physics. In most of them, novel collective properties emerge from the quantum mechanical …

We investigate the lattice QCD Dirac operator with staggered fermions at temperatures
around the chiral phase transition. We present evidence of a metal-insulator transition in the …

At zero temperature the lowest part of the spectrum of the QCD Dirac operator is known to
consist of delocalized modes that are described by random matrix statistics. In the present …