J. Phys. I France
Volume 6, Numéro 2, February 1996
Page(s) 287 - 299
DOI: 10.1051/jp1:1996149
J. Phys. I France 6 (1996) 287-299

Two Interacting Particles in an Effective 2-3-d Random Potential

Fausto 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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