This book presents an overview of the current understanding of the physics of zero-
dimensional semiconductors. It concentrates mainly on quantum dots of wide-gap …

Results of large-scale numerical simulations are reported on the Anderson localization in a
two-dimensional square lattice tight-binding model with random flux. Localization lengths …

We study the two-dimensional electron gas in the presence of a random perpendicular
magnetic field. We examine, in particular, the limit in which the correlation length of the …

The random flux model (defined here as a model of lattice fermions hop** under the
influence of maximally random link disorder) is analysed field theoretically. It is shown that …

Diffusion of electrons in a two-dimensional system in static random magnetic fields is studied
by solving the time-dependent Schrödinger equation numerically. The asymptotic behaviors …

The appearance of quasiparticle excitations with fractional statistics is a remarkable defining
trait of topologically ordered systems. In this work we investigate the experimentally relevant …

We construct a nonlinear σ model to describe a system of noninteracting electrons
propagating in the presence of random magnetic flux. We find a term describing the long …

We present detailed numerical calculations of the two-dimensional localization problem in
the presence of random flux and discuss the implications of these results to the ν= 1/2 …

The random magnetic-flux problem on a lattice in a quasi-one-dimensional (wire) geometry
is studied both analytically and numerically. The first two moments of the conductance are …

The 2-dimensional density of states of an electron is studied for a poissonian random
distribution of point vortices carrying α flux in units of the quantum of flux. It is shown that, for …