Spin-controlled nanoelectromechanics in magnetic NEM-SET systems

Electronic spin working mechanically (Review Article)

“…The difference between our operator equations and the corresponding equations in Ref. [52] (rewritten for the Coulomb blockade case) is the appearance of terms induced by the coordinate-dependent exchange interaction J(x). These appear in Eqs.…”

“…This was demonstrated in Refs. 51,52. A theory of the quantum coherent dynamics of mechanical vibrations, electron charge and spin was formulated and the possibility to trigger a shuttle instability by a relatively weak magnetic field was demonstrated.…”

“…Following Ref. [52] one gets equations of motion for the reduced density matrix operators ρ 0 ≡ 0 | ρ | 0 , ρ ↑ ≡ ↑| ρ |↑ , ρ ↓ ≡ ↓| ρ |↓ , and ρ ↑↓ ≡ ↑| ρ |↓ :…”

“…An external magnetic field applied pendicular to the direction of the magnetization in the electrode leads to precession of the electron spin of the quantum dot and as a consequence the electron transport is unblocked. The Hamiltonian of the system has the form [52] of Eq. (1) with ↓)) and (25) where Γ + (x) = Γ L (x) + Γ R (x).…”

“…In [52] it was shown that if h < √ 3Γ, the function β 0 has a maximum at A = 0, while for h > √ 3Γ, this function has a minimum at A = 0. The structure of the function β 0 determines the behavior of the system in the parameter space d−h (or γ −h).…”