Here we present a theoretical analysis of the effect of inelastic electronscattering on spin-dependent transport characteristics (conductance,current-voltage dependence, magnetoresistance, shot noise spectrum, Fanofactor) for magnetic nanojunction. Such device is composed of molecular quantumdot (with discrete energy levels)connected to ferromagnetic electrodes (treatedwithin the wide-band approximation), where molecular vibrations are modeled asdispersionless phonons. Non-perturbative computational scheme, used in thiswork, is based on the Green's function theory within the framework of mappingtechnique (GFT-MT) which transforms the many-body electron-phonon interactionproblem into a single-electron multi-channel scattering problem. Theconsequence of the localized electron-phonon coupling is polaron formation. Itis shown that polaron shift and additional peaks in the transmission functioncompletely change the shape of considered transport characteristics.
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