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 generalize the concept of the Wehrl entropy of quantum states which gives a basis-
independent measure of their localization in phase space. We discuss the minimal values …

We discuss some properties of the generalized entropies, called Rényi entropies, and their
application to the case of continuous distributions. In particular, it is shown that these …

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 …

We investigate the statistical properties of the eigenvalues and eigenvectors in a random
matrix ensemble with H ij∼| i− j|− μ. It is known that this model shows a localization …

We find that the statistics of levels undergoing the metal–insulator transition in systems with
Gaussian disorder and non-interacting electrons behaves in a way similar to that of the …

The statistical properties of the dynamics of energy levels are investigated in the case of two
two-dimensional disordered quantum dot models with nearest-neighbor hopping subjected …

Electronic states play a crucial role in many quantum systems of moiré superlattices,
quasicrystals, and fractals. As recently reported for Sierpiński lattices [Yao, Phys. Rev. B 107 …

Complexity of two-level systems, eg spins, qubits, magnetic moments etc, are analysed
based on the so-called correlational entropy in the case of pure quantum systems and the …

We study the level-spacing distribution function P (s) at the Anderson transition by paying
attention to anomalously localized states (ALS) which contribute to statistical properties at …