Volume 77, Number 3, February 2007
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||24 January 2007|
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
Accepted: 7 December 2006
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.
PACS: 73.23.-b – Electronic transport in mesoscopic systems
© Europhysics Letters Association, 2007
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