Self-trapping transition for nonlinear impurities embedded in a Cayley tree

Details Self-trapping transition for nonlinear impurities embedded in a Cayley tree Self-trapping transition for nonlinear impurities embedded in a Cayley tree

2001-05-22

arxiv.org/abs/cond-mat/0105422v1

Physics

Condensed Matter

6 pages, 7 figs

Scientific paper

10.1103/PhysRevB.63.144302

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 $\chi$ for the self-trapping transitions are found to obey a power-law behavior as a function of the connectivity $K$ of the Cayley tree.

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