Abstract
Abstract Single molecular shuttle-junction is one kind of nanoscale electromechanical tunneling system. In this junction, a molecular island oscillates depending on its charge occupation, and this charge dependent oscillation leads to modulation of electron tunneling through the molecular island. This paper reviews recent development on the study of current, shot noise and decoherence of electrons in the single molecular shuttle-junction. We will give detailed discussion on this topic using the typical system model, the theory of fully quantum master equation and the Aharonov-Bohm interferometer.
Highlights
Quantum master equation for single molecular shuttle-junctionThe conductor has finite degrees of freedom, whereas the electrodes have infinite degrees of freedom
The general master equation describing a single molecular shuttle-junction can be derived in the Born– Markovian approximation, including the position dependence of the tunneling rates and the Fermi distribution functions of the electronic leads
The general master equation introduced here suggests that the off-diagonal terms of the density matrix provide an important contribution to current
Summary
The conductor has finite degrees of freedom, whereas the electrodes have infinite degrees of freedom. In this configuration, electron transport is similar to an open system process, where the conductor is. Typical examples of electron transport are transport through a QD and point contact. The theory of an open system, such as the master equation, is suitable for describing electron transport. The master equation has been widely applied in the area of transport materials [3, 28, 111,112,113,114]. We introduce a typical shuttle-junction model and develop a quantum master equation to discuss properties of single molecular shuttle-junctions
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