We investigate numerically the effect of non-linear interaction on conductance statistics in one dimensional disordered systems with δ peak potentials. It is shown that the non-linearity can either localize or delocalize the electronic states depending on its sign. For an attractive nonlinear...

The parametric motion of one-electron energy levels of disordered systems near the Anderson localization transition is studied. We perform numerical calculations of the distributions of the first (level velocity) and the second (level curvature) derivatives with respect to a change of boundary...

The quantum site-percolation problem defined by a tight-binding one-electron Hamiltonian on regular simple cubic lattice with binary probability distribution of site energies P(ϵn) = pσ(ϵn) + (1 − p)σ(ϵn − ∞) is studied using the Landauer-Büttiker formalism and Green's function...

We studied the effects of finite temperature in the magnetic susceptibility of a system of N non-interacting electrons in a homogeneous magnetic field and in a smooth confinement potential: the two-dimensional harmonic oscillator. Different exact ensemble calculations are considered and...

Graph-theoretical approach is used to study cluster formation in mesocsopic systems. Appearance of these clusters is due to discrete resonances which are presented in the form of a multigraph with labeled edges. This presentation allows to construct all non-isomorphic clusters in a finite...

A practical version of the polynomial canonical formalism is developed for normal mesoscopic systems consisting of N noninteracting electrons. Drastic simplification of calculations is attained by means of a proper ordering of excited states of the system. It results in that the exact canonical...

A unique experimental tool to deepen into the Boltzmann–Loschmidt controversy is provided by the NMR polarization echoes (PE). These appear when a local spin excitation, evolving with a many-body “diffusive” spin dynamics, is reversed. The attenuation of the PEs represents a progresive...

We consider a bidimensional discrete annular cavity with surface roughness (SR) threaded by a magnetic flux. In the ballistic regime and at half-filling, localized border-states show up. These border states contribute coherentely to the persistent current and the magnitude of the typical current...

We solve the Boltzmann transport equation in the two relaxation times approximation to analyze the kinetics of spatially inhomogeneous electron gas. The explicit form of the distribution function, obtained by means of the maximum entropy principle, together with moments method approach, are used...

Discrete breathers are time-periodic spatially localised motions in networks of oscillators. Their occurrence in three principal contexts is reviewed: (i) autonomous Hamiltonian or reversible systems, (ii) autonomous forced damped systems, and (iii) time-periodically forced systems. The main...