Transient dynamics of a molecular quantum dot with a vibrational degree of freedom

Details Transient dynamics of a molecular quantum dot with a vibrational degree of freedom Transient dynamics of a molecular quantum dot with a vibrational degree of freedom

2009-06-25

arxiv.org/abs/0906.4738v1

Phys. Rev. B 80 (2009), 125109

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevB.80.125109

We investigate the transient effects occurring in a molecular quantum dot described by an Anderson-Holstein Hamiltonian which is instantly coupled to two fermionic leads biased by a finite voltage. In the limit of weak electron-phonon interaction, we use perturbation theory to determine the time-dependence of the dot population and the average current. The limit of strong coupling is accessed by means of a self-consistent time-dependent mean-field approximation. These comple- mentary approaches allow us to investigate the dynamics of the inelastic effects occurring when the applied bias voltage exceeds the phonon frequency and the emergence of bistability.

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