Time-dependent phonon-assisted tunneling through a single-molecular device: Ricatti matrix approach

Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University - Seoul 151-747, Korea

Received: 11 October 2006
Accepted: 7 December 2006

Abstract

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.