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

Fausto Borgonovi, Dima L. Shepelyansky
1996 Journal de Physique I  
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.
doi:10.1051/jp1:1996149 fatcat:3b56zhwxubeiri55s466ukvxbq