Nanoscale physics

Coulomb effects in a thermally driven magnetic shuttle
Ilinskaya O.A.1, Shkop A.D.1, Krive I.V.1,2
1 B.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraine. Nauki Ave., 47, Kharkiv-61103, Ukraine. 
E-mail: ilinskaya.olga.a@gmail.com
2 Physical Department, V.N. Karazin National University, Svobody Sq., 4, Kharkiv-61022, Ukraine.

Electron shuttling, first predicted in [1], is a transfer of electrons between source and drain electrodes by a periodically moving quantum dot. The shuttle current can be larger than ordinary tunnel current by several orders of magnitude, and therefore a shuttle device can serve as a switch (there is large current in the shuttle regime, and the current is exponentially small in vibronic regime). There is a possibility of a transition between these two regimes by using an external magnetic field. In such a magnetic shuttle device [2] the leads are fully spin polarized in opposite directions, and there is shuttling of electrons for sufficiently small values of external magnetic field directed perpendicular to the leads’ magnetization. The existence of magnetic shuttle with thermal energy source in the Coulomb blockade regime, , was predicted in [3]. In this work, we investigate the influence of arbitrary strong Coulomb interaction  on thermally driven magnetic shuttling. We predict the absence of shuttling for non-interacting electrons, , and plot the - and -dependences ( being the temperature difference) of the critical magnetic field separating the shuttle and vibronic domains. Shuttling occurs in a finite range of magnetic field strengths at large  down to  ( being the average temperature) and disappears at lower values of .

1.	Gorelik L. Y., Isacsson A., Voinova M. V., Kasemo B., Shekhter R. I., Jonson M. Shuttle mechanism for charge transfer in Coulomb blockade nanostructures // Phys. Rev. Lett.-1998.-80, N. 20.-P. 4526-4529.
2.	Kulinich S. I., Gorelik L. Y., Kalinenko A. N., Krive I. V., Shekhter R. I., Park Y. W., Jonson M. Single-electron shuttle based on electron spin // Phys. Rev. Lett.-2014.-112, N 11.-P. 117206-1-117206-5.
3.	Ilinskaya O. A., Kulinich S. I., Krive I. V., Shekhter R. I., Park H. C., Jonson M. Mechanically induced thermal breakdown in magnetic shuttle structures // New J. Phys.-2018.-20.-P. 063036-1-063036-11.