The physics of graphene is acting as a bridge between quantum field theory and condensed
matter physics due to the special quality of the graphene quasiparticles behaving as …

The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

We derive an effective two-dimensional Hamiltonian to describe the low-energy electronic
excitations of a graphite bilayer, which correspond to chiral quasiparticles with a parabolic …

Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-like low-
energy excitations. When Zeeman and spin-orbit interactions are neglected, its Landau …

The article reviews recent developments in the theory of fluctuations and correlations of
energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various …

Motivated by recent graphene transport experiments, we undertake a numerical study of the
conductivity of disordered two-dimensional massless Dirac fermions. Our results reveal …

Motivated by the problem of many-body localization and the recent numerical results for the
level and eigenfunction statistics on the random regular graphs, a generalization of the …

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 …

Thermal and many-body localized phases are separated by a dynamical phase transition of
a new kind. We analyze the distribution of off-diagonal matrix elements of local operators …

The equilibrium low-temperature physics of disordered systems is governed by the statistics
of extremely low-energy states. It is thus relevant to discuss the possible universality classes …