There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

The many-body localised (MBL) to thermal crossover observed in exact diagonalisation
studies remains poorly understood as the accessible system sizes are too small to be in an …

Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the
liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples …

We investigate statistical-mechanical models on aperiodic structures (eg quasi-periodic,
random, self-similar). We derive a condition for the relevance of any kind of aperiodicity near …

A number of moiré graphene systems have nearly flat topological bands where electron
motion is strongly correlated. Though microscopically these systems are only quasiperiodic …

We show that localization in quasiperiodically modulated, two-dimensional systems is stable
to the presence of a finite density of ergodic grains. This contrasts with the case of randomly …

We propose a new example of discrete holography that provides a new step towards
establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is …

Discrete geometries in hyperbolic space are of longstanding interest in pure mathematics
and have come to recent attention in holography, quantum information, and condensed …

We investigate the nonequilibrium dynamics of the one-dimension Aubry-André-Harper
model with p-wave superconductivity by changing the potential strength with slow and …

Multilevel charge pum** is a feature that was recently observed in quasiperiodic systems.
In this work, we show that it is more generic and appears in different aperiodic systems …