ar X iv : c on d - m at / 9 60 60 21 v 2 6 J un 1 99 6 Crossover of Level Statistics between Strong and Weak Localization in Two Dimensions

ar X iv : c on d - m at / 9 60 30 23 v 1 4 M ar 1 99 6 Few interacting particles in a random potential

We study the localization length of few interacting particles in a random potential. Concentrating on the case of three particles we show that their localization length is strongly enhanced comparing to the enhancement for two interacting particles.

ar X iv : c on d - m at / 9 60 31 90 v 1 2 9 M ar 1 99 6 The Four - Dimensional XY Spin Glass

ar X iv : c on d - m at / 9 60 71 19 v 1 1 7 Ju l 1 99 6 Reflectance Fluctuations in an Absorbing Random Waveguide

We study the statistics of the reflectance (the ratio of reflected and incident intensities) of an N -mode disordered waveguide with weak absorption γ per mean free path. Two distinct regimes are identified. The regime γN ≫ 1 shows universal fluctuations. With increasing length L of the waveguide, the variance of the reflectance changes from the value 2/15N, characteristic for universal conduct...

ar X iv : c on d - m at / 9 60 50 49 v 2 9 M ay 1 99 6 Gap probability of a one - dimensional gas model

We investigate the gap formation probability of the effective one dimensional gas model recently proposed for the energy level statistics for disordered solids at the mobility edge. It is found that in order to get the correct form for the gap probability of this model, the thermodynamic limit must be taken very carefully. † [email protected] †† [email protected] To appear in the In...

ar X iv : c on d - m at / 9 60 51 41 v 1 2 2 M ay 1 99 6 Spread width for two interacting particles in one - dimensional random potential

For two interacting particles (TIP) in one-dimensional random potential the dependence of the spread width Γ, the local density of states and the TIP localization length on system parameters is determined analytically. The theoretical predictions for Γ are confirmed by numerical simulations.