Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1996-10-29
Phys.Rev. B56 (1997) 3742
Physics
Condensed Matter
Statistical Mechanics
23 pages, REVTEX, 3 eps figures, improved version accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.56.3742
Coherent propagation of two interacting particles in $1d$ weak random potential is considered. An accurate estimate of the matrix element of interaction in the basis of localized states leads to mapping onto the relevant matrix model. This mapping allows to clarify the mechanism of enhancement of the localization length which turns out to be rather different from the one considered in the literature. Although the existence of enhancement is transparent, an analytical solution of the matrix model was found only for very short samples. For a more realistic situation numerical simulations were performed. The result of these simulations is consistent with l_{2}/l_1 \sim l_1^{\gamma} , where $l_1$ and $l_2$ are the single and two particle localization lengths and the exponent $\gamma$ depends on the strength of the interaction. In particular, in the limit of strong particle-particle interaction there is no enhancement of the coherent propagation at all ($l_{2} \approx l_1$).
Ponomarev I. V.
Silvestrov P. G.
No associations
LandOfFree
Coherent propagation of interacting particles in a random potential: the Mechanism of enhancement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Coherent propagation of interacting particles in a random potential: the Mechanism of enhancement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent propagation of interacting particles in a random potential: the Mechanism of enhancement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-575406