Effects of the Franck-Condon blockade in tunneling of spin-polarized electrons in a molecular transistor

A. D. Shkop B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv 61103, Ukraine
O. M. Bahrova Department of Theoretical Physics named by academician I.M. Lifshits, V. Karazin National University, 4 Svobody sq., Kharkiv 61022, Ukraine

Keywords: single-electron tunneling, molecular transistor, Franck-Condon blockade, spin fi lters

Abstract

We consider a molecular transistor, where the molecule is placed between two fully oppositely spin-polarized electrodes in an external magnetic field.

We take into account quantum oscillations of the molecule centrum of mass along the axis, connecting two electrodes.

The electric current and conductance are calculated using the equations of motion method and the perturbation theory over the energy level broadening (weak tunneling limit).

The Franck-Condon blockade of the current emerges for a strong electron-vibron interaction.

However, in our model for the certain values of an external magnetic field, the low-temperature current in the Franck-Condon blockade regime increases.

The matter is that the electron energy level in the dot come into voltage transparency “window” depending on the fi eld value.

The temperature dependencies of the resonance conductance peaks are also obtained.

They show an anomalous (non-monotonic) behavior at intermediate temperatures for a wide range of external magnetic fi elds in the case of strong electron-vibron coupling.

The anomaly occurs due to the interplay of the values of external magnetic fi eld and temperature.

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