ar X iv : c on d - m at / 9 60 31 71 v 1 2 7 M ar 1 99 6 Effect of noise for two interacting particles in a random potential

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 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.

ar X iv : c on d - m at / 9 50 71 07 v 1 2 5 Ju l 1 99 5 Two interacting particles in an effective 2 - 3 – d random potential

We study the effect of coherent propagation of two interacting particles in an effective 2-3-d disordered potential. Our numerical data demonstrate that in dimension d > 2, interaction can lead to two–particles delocalization below one–particle delocalization border. We also find that the distance between the two delocalized particles (pair size) grows logarithmically with time. As a result pai...

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 31 41 v 1 2 1 M ar 1 99 6 March 1996 A remark on off - diagonal long - range order

In this work, we study some general property of a strongly correlated electron system defined on a lattice. Assuming that the lattice system exhibits off-diagonal long-range order, we show rigorously that this assumption would lead to Meissner effect. This generalizes previous results of continuous case to a lattice electron system.