We investigate the relationship between the transport properties ofordered and disordered two dimensional quantum percolation systemsand the spatial variations of the phase of the wave function. Whileoften only the spatial variations of the probability amplitudes arestudied in relation to...

In the hard core limit, interacting vortices in planar type II superconductors can be modeled as non-interacting one dimensional fermions propagating in imaginary time. We use this analogy to derive analytical expressions for the probability density and imaginary current of vortex lines...

A one-dimensional diagonal tight binding electronic system with dichotomic correlated disorder is investigated. The correlation of random potential exponentially decays with distance and also with the dichotomic correlation parameter λ. Using a appropriate approximation, an analytical...

In this work, a one-dimensional quantum Heisenberg ferromagnet with aperiodic exchange couplings is considered. To produce an aperiodic distribution of exchange couplings, it is used a sinusoidal function whose phase φ varies as a power-law, φ∝n<Superscript>ν</Superscript>, where n labels the positions along the...</superscript>