ar X iv : c on d - m at / 9 60 50 49 v 1 8 M ay 1 99 6 Gap probability of a one - dimensional gas model

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 20 50 16 v 1 2 8 M ay 1 99 2 C 60 with O defects : Localized states in the gap and oxygen clustering

We propose a Su-Schrieffer-Heeger type electron-phonon model for C 60 with O defects and solve by the adiabatic approximation. Two new properties are obtained. (1) The dimerization becomes weaker around the oxygen. Two localized states appear deep in the gap. Optical transition between them is allowed. This accords with the recent optical absorption data. (2) Oxygens are predicted to cluster on...

ar X iv : c on d - m at / 9 30 50 01 v 1 3 M ay 1 99 3 One - dimensional asymmetrically coupled maps with defects

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 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.