Time-dependent phonon-assisted tunneling through a single-molecular device: Ricatti matrix approachH. Oymak, D. Shin and J. Hong
Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University - Seoul 151-747, Korea
received 11 October 2006; accepted in final form 7 December 2006; published February 2007
published online 24 January 2007
We study a tight-binding model to capture the essence of resonant transport of an electron through a single quantum-dot in the presence of both a time-periodic potential and phonon degrees of freedom. In order to solve the time-dependent Schrödinger equation we use a non-perturbative pruning technique, called Ricatti matrix method, which combines the tight-binding scheme and the Floquet theory into a two-point recursive matrix equation. Its simple-to-comprehend and easy-to-implement properties, and its capability of producing essentially exact numerical results render Ricatti matrix method promising for studying more complicated similar systems.
73.23.-b - Electronic transport in mesoscopic systems.
© Europhysics Letters Association 2007