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 describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

The fractional Laplacian operator−(− Δ) α∕ 2 appears in a wide class of physical systems,
including Lévy flights and stochastic interfaces. In this paper, we provide a discretized …

Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …

We study the multifractal behavior of coherent states projected in the energy eigenbasis of
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …

Recently, a concept of generalized multifractality, which characterizes fluctuations and
correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes …

Generalized multifractality characterizes system size dependence of pure scaling local
observables at Anderson transitions in all 10 symmetry classes of disordered systems …

We use multifractal finite-size scaling to perform a high-precision numerical study of the
critical properties of the Anderson localization-delocalization transition in the unitary …

Multifractal scaling of critical wave functions at a disorder-driven (Anderson) localization
transition is modified near boundaries of a sample. Here this effect is studied for the example …

Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a
continuous quantum (Anderson) transition between a metallic and an insulating state when …