Effects of a coupling between the mechanical vibrations of a quantum dot placed between the two leads of a single electron transistor and coherent tunneling of electrons through a single level in the dot has been studied. We have found that for bias voltages exceeding a certain critical value a dynamical instability occurs and mechanical vibrations of the dot develop into a stable limit cycle. The current-voltage characteristics for such a transistor were calculated and they seem to be in a reasonably good agreement with recent experimental results for the single C60-molecule transistor by Park et al.(Nature {\bf 407,} (2000) 57).
@article{arxiv.cond-mat/0104200,
title = {Vibrational Instability due to Coherent Tunneling of Electrons},
author = {D. Fedorets and L. Y. Gorelik and R. I. Shekhter and M. Jonson},
journal= {arXiv preprint arXiv:cond-mat/0104200},
year = {2009}
}