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• W2042793872 abstract "We consider the problem of tunneling between two leads via a localized spin 1/2 or any other microscopic system (e.g., a quantum dot) which can be modeled by a two-level Hamiltonian. We assume that a constant magnetic field ${mathbf{B}}_{0}$ acts on the spin, that electrons in the leads are in a voltage driven thermal equilibrium, and that the tunneling electrons are coupled to the spin through exchange and spin-orbit interactions. Using the nonequilibrium Keldysh formalism we find the dependence of the spin-spin and current-current correlation functions on the applied voltage between leads V, temperature T, ${mathbf{B}}_{0},$ and on the degree and orientation ${mathbf{m}}_{ensuremath{alpha}}$ of spin polarization of the electrons in the right (ensuremath{alpha}=R) and left (ensuremath{alpha}=L) leads. We show the following (a) The spin-spin correlation function exhibits a peak at the Larmor frequency, ${ensuremath{omega}}_{L},$ corresponding to the effective magnetic field $mathbf{B}$ acting upon the spin as determined by ${mathbf{B}}_{0}$ and the exchange field induced by tunneling of spin-polarized electrons. (b) If the ${mathbf{m}}_{ensuremath{alpha}}mathrm{'}mathrm{s}$ are not parallel to $mathbf{B}$ the second-order derivative of the average tunneling current $I(V)$ with respect to V is proportional to the spectral density of the spin-spin correlation function, i.e., exhibits a peak at the voltage $V=ensuremath{Elzxh}{ensuremath{omega}}_{L}/e.$ (c) In the same situation when $V>B$ the current-current correlation function exhibits a peak at the same frequency. (d) The signal-to-noise (shot-noise) ratio R for this peak reaches a maximum value of order unity, $R<~4,$ at large V when the spin is decoupled from the environment and the electrons in both leads are fully polarized in the direction perpendicular to B. (e) $Rensuremath{ll}1$ if the electrons are weakly polarized, or if they are polarized in a direction close to ${mathbf{B}}_{0},$ or if the spin interacts with the environment stronger than with the tunneling electrons. Our results of a full quantum-mechanical treatment of the tunneling-via-spin model when $Vensuremath{gg}B$ are in agreement with those previously obtained in the quasiclassical approach. We discuss also the experimental results observed using scanning tunneling microscopy dynamic probes of the localized spin." @default.
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• W2042793872 date "2003-09-26" @default.
• W2042793872 modified "2023-10-17" @default.
• W2042793872 title "Tunneling measurement of quantum spin oscillations" @default.
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• W2042793872 doi "https://doi.org/10.1103/physrevb.68.125415" @default.
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