Spin Dependent 2d Electron Scattering By Nanomagnets

The fundamental concept of spintronics,the di erence between nanoparticle and the correspondingrnbulk material is presented. Mathematical expression of scattering amplitudernis derived for 3D and 2D scattering of electron from small target particle. But emphasisrnis given for 2D scattering problem of an electron by a magnetized nanoparticle using Bornrnapproximation with account of the dipole- dipole interaction of the magnetic moments ofrnelectron and nanomagnet. Born approximation doesn't work for nanomagnet gigantic rn,for slow particles. We can justify it only for fast particle.rnThe scattering amplitudes in this problem are the two-component spinors. They arernobtained as functions of the electron spin orientation, the electron energy and showrnanisotropy in scattering angle. The initially polarized beam of electrons scattered byrnthe nanomagnet consists of electrons with no spin rnipped and spin rnipped. The majorityrnof electrons with no spin rnipped are scattered by small angles. The majority electronsrnwith spin rnipped are scattered in the vicinity of the scattering angles rn2 and 3 rn2 .This canrnbe used as one more as one more method of controlling the spin current.rnThe scattering amplitudes depend on mutual orientation of the magnetic moment of thernnanomagnet and the electron,the energy of electron and the scattering angle

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