Abstract
We study the tunneling conductance of nanoscale quantum “shuttles” in connection with a recent experiment [H. Park et al., Nature 57 (2000)] in which a vibrating molecule was apparently functioning as the island of a single electron transistor (SET). While our calculation starts from the same model of previous work [D. Boese and H. Schoeller, Europhys. Lett. 668 (2001)] we obtain quantitatively different dynamics. Calculated curves exhibit most features present in experimental data with a physically reasonable parameter set, and point to a strong dependence of the oscillator’s potential on the electrostatics of the island region. We propose that in a regime where the electric field due to the bias voltage itself affects island position, a “catastrophic” negative differential conductance (NDC) may be realized. This effect is directly attributable to the magnitude of overlap of final and initial quantum oscillator states, and as such represents experimental control over quantum transitions of the oscillator via the macroscopically controllable bias voltage.
- Received 29 July 2002
DOI:https://doi.org/10.1103/PhysRevB.67.245415
©2003 American Physical Society