Shuttling of electrons in single-molecule transistors with magnetic leads in
the presence of an external magnetic field is considered theoretically. For a
current of partially spin-polarized electrons a shuttle instability is
predicted to occur for a finite interval of external magnetic field strengths.
The lower critical magnetic field is determined by the degree of spin
polarization and it vanishes as the spin polarization approaches 100%. The
feasibility of detecting magnetic shuttling in a C60-based molecular
transistor with magnetic (Ni) electrodes is discussed [A.~N.~Pasupathy et al.,
Science 306, 86 (2004)].Comment: Submitted to a special issue of "Synthetic Metals" to appear in March
201