Self-trapping transition for nonlinear impurities embedded in a Cayley tree
Condensed Matter
2009-11-07 v1
Abstract
The self-trapping transition due to a single and a dimer nonlinear impurity embedded in a Cayley tree is studied. In particular, the effect of a perfectly nonlinear Cayley tree is considered. A sharp self-trapping transition is observed in each case. It is also observed that the transition is much sharper compared to the case of one-dimensional lattices. For each system, the critical values of for the self-trapping transitions are found to obey a power-law behavior as a function of the connectivity of the Cayley tree.
Cite
@article{arxiv.cond-mat/0105422,
title = {Self-trapping transition for nonlinear impurities embedded in a Cayley tree},
author = {Bikash C. Gupta and Sang Bub Lee},
journal= {arXiv preprint arXiv:cond-mat/0105422},
year = {2009}
}
Comments
6 pages, 7 figs