J. Phys. I France 6 (1996) 287-299
Two Interacting Particles in an Effective 2-3-d Random PotentialFausto Borgonovi1 and Dima L. Shepelyansky2
1 Dipartimento di Matematica, Università Cattolica, via Trieste 17, 25121 Brescia, Italy Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, via Bassi 6, 27100 Pavia, Italy
2 Laboratoire de Physique Quantique, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse, France
(Received 1 August 1995, received and accepted in final form 20 September 1995)
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 pair propagation is subdiffusive.
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