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APS/123-QEDInjection <strong>en</strong>ergy <strong>de</strong>p<strong>en</strong>d<strong>en</strong>ce of spin-polarized hot-electron transport through aferromagnetic metal/oxi<strong>de</strong>/semiconductor junctionN. Rougemaille, D. Lamine, ∗ G. Lampel, Y. Lassailly, and J. PerettiPhysique <strong>de</strong> la Matière Cond<strong>en</strong>sée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France(Dated: September 30, 2007)Spin-polarized hot electron transport through a ferromagnetic metal/oxi<strong>de</strong>/semiconductor junctionis studied as a function of the electron injection <strong>en</strong>ergy. The incid<strong>en</strong>t spin-polarized electronsare produced by a GaAs photocatho<strong>de</strong> and are injected from vacuum into the thin metal layer. Thisallows a variation in the injection <strong>en</strong>ergy over a wi<strong>de</strong> range (from a few eV up to 1keV). The curr<strong>en</strong>ttransmitted through the junction is measured in the semiconductor collector. A spin-<strong>de</strong>p<strong>en</strong>d<strong>en</strong>tcompon<strong>en</strong>t of the transmitted curr<strong>en</strong>t is <strong>de</strong>tected wh<strong>en</strong> reversing either the spin polarization of theincid<strong>en</strong>t electrons or the magnetization of the metal layer. For injection <strong>en</strong>ergy in the hundreds ofeV range, both the mean transmitted curr<strong>en</strong>t and the spin-<strong>de</strong>p<strong>en</strong>d<strong>en</strong>t transmitted curr<strong>en</strong>t exhibita spectacular increase, over several or<strong>de</strong>rs of magnitu<strong>de</strong>. A transport regime is reached where electrontransmission is larger than unity, providing a curr<strong>en</strong>t gain, while the spin-selectivity of themagnetic layer is still very high (close to 100%). This variation is analyzed in the framework of atransport mo<strong>de</strong>l, which accounts for the relaxation of the electron <strong>en</strong>ergy and velocity by secondaryelectron excitation. This mo<strong>de</strong>l fits qualitatively and quantitatively with the experim<strong>en</strong>tal data an<strong>de</strong>vid<strong>en</strong>ces the importance of the metal/oxi<strong>de</strong>/semiconductor barrier shape on the spin-asymmetryof the transmitted curr<strong>en</strong>t.PACS numbers: 72.25.-b, 73.40.Qv, 79.20.Hx, 85.75.-dI. INTRODUCTIONIn ferromagnetic metals, because of the spin asymmetryof the electron d<strong>en</strong>sity of empty states, the inelasticmean-free-path is larger for majority-spin electrons thanfor minority-spin electrons in an <strong>en</strong>ergy range which ext<strong>en</strong>dsup to about 50eV above the Fermi Level. Thisfavors the transport of majority-spin hot electrons and isattheoriginofelectronspinfilteringeffectsinthinmagneticfilms. 1–8 Differ<strong>en</strong>t experim<strong>en</strong>tal approaches havebe<strong>en</strong> <strong>de</strong>veloped to explore spin-<strong>de</strong>p<strong>en</strong>d<strong>en</strong>t hot-electrontransport in thin magnetic films. They are based eitheron electron spectroscopy techniques 5–14 or on threeterminalsolid state <strong>de</strong>vices, 15–21 and give access to thetransport properties in a wi<strong>de</strong> <strong>en</strong>ergy range, typically betwe<strong>en</strong>1eV up to several hundreds of eV. The principle ofall these experim<strong>en</strong>ts is basically the same : hot electronsare injected into a thin magnetic film and the int<strong>en</strong>sity(or polarization) of the curr<strong>en</strong>t transmitted through thefilm is measured as a function of the incid<strong>en</strong>t electron polarizationand/or of the magnetization state of the film.The largest spin-asymmetry values in hot-electron transmissionthrough thin ferromagnetic films are obtained atlow injection <strong>en</strong>ergy, i.e. a few eV above the metal Fermilevel. 9,10,12,14–21 In this <strong>en</strong>ergy range, the electron transmissionthrough the thin magnetic layer is almost ballisticand is <strong><strong>de</strong>s</strong>cribed by an expon<strong>en</strong>tial att<strong>en</strong>uation withthe mean-free-path as characteristic att<strong>en</strong>uation l<strong>en</strong>gth.From the spin asymmetry of the mean-free-path, one can<strong>de</strong>fine a spin-discriminating l<strong>en</strong>gth which is found to beas small as a few nanometers (typically 3 to 5nm) forelectrons of a few eV <strong>en</strong>ergy. 14,18 A magnetic layer ofthickness of the or<strong>de</strong>r of the spin discriminating l<strong>en</strong>gthis therefore highly spin-selective. Spin-filtering effici<strong>en</strong>cyclose to unity has in<strong>de</strong>ed be<strong>en</strong> <strong>de</strong>monstrated in magneticlayers of only a few nanometers thickness. However, operatinga spin filter at low injection <strong>en</strong>ergy is limited bythe low total transmission effici<strong>en</strong>cy. The mean transmittedcurr<strong>en</strong>t is in<strong>de</strong>ed g<strong>en</strong>erally or<strong>de</strong>rs of magnitu<strong><strong>de</strong>s</strong>maller than the injected curr<strong>en</strong>t mainly because of theweak exit probability of low <strong>en</strong>ergy electrons from themetal. 15–21At higher injection <strong>en</strong>ergy the situation is very differ<strong>en</strong>t.The transmitted curr<strong>en</strong>t is in<strong>de</strong>ed dominated byelectrons which emerge from a secondary electron casca<strong>de</strong>at <strong>en</strong>ergy much smaller than the injection <strong>en</strong>ergy.Therefore, the transport is governed by the electronicproperties over a wi<strong>de</strong> <strong>en</strong>ergy range. Wh<strong>en</strong> the injection<strong>en</strong>ergy ranges from a few eV to several t<strong>en</strong>s of eV,the electron inelastic mean-free-path stiffly <strong>de</strong>creases sothat, electrons are very effici<strong>en</strong>tly relaxed. The transportcan th<strong>en</strong> be <strong><strong>de</strong>s</strong>cribed by a simple mo<strong>de</strong>l whichempirically combines the very fast excitation of a secondaryelectron casca<strong>de</strong> and the subsequ<strong>en</strong>t low-<strong>en</strong>ergyballistic transport through the magnetic layer. 9,10,12,14,18This scheme has two consequ<strong>en</strong>ces : the overall transmittedcurr<strong>en</strong>t increases because of the secondary electronmultiplication and the magnetic layer spin selectivityis still high because the transmission mainly occursat low <strong>en</strong>ergy. One can profit from these two propertiesin spin-valve structures. In<strong>de</strong>ed, in a spin valve structurecontaining only two magnetic layers (of about 1nmthickness each), large magneto-curr<strong>en</strong>t asymmetry hasbe<strong>en</strong> obtained in the whole injection <strong>en</strong>ergy range froma few eV up to 100eV while the secondary electron multiplicationyiel<strong>de</strong>d a linear increase of the transmittedcurr<strong>en</strong>t with injection <strong>en</strong>ergy. 14 Similar experim<strong>en</strong>ts performedin a single magnetic layer structure have shownthat the transmission asymmetry measured wh<strong>en</strong> inject-

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