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2D Spin-Dependent Diffraction of Electrons From Periodical Chains of Nanomagnets
Department of Physics, Addis Ababa University, P. O. Box 1176, Addis Ababa, Ethiopia
* Author to whom correspondence should be addressed.
Received: 15 January 2012; in revised form: 27 February 2012 / Accepted: 27 February 2012 / Published: 6 March 2012
Abstract: The scattering of the unpolarized beams of electrons by nanomagnets in the vicinity of some scattering angles leads to complete spin polarized electrons. This result is obtained with the help of the perturbation theory. The dipole-dipole interaction between the magnetic moment of the nanomagnet and the magnetic moment of electron is treated as perturbation. This interaction is not spherically symmetric. Rather it depends on the electron spin variables. It in turn results in spinor character of the scattering amplitudes. Due to the smallness of the magnetic interactions, the scattering length of this process is very small to be proved experimentally. To enhance the relevant scattering lengths, we considered the diffraction of unpolarized beams of electrons by linear chains of nanomagnets. By tuning the distance between the scatterers it is possible to obtain the diffraction maximum of the scattered electrons at scattering angles which corresponds to complete spin polarization of electrons. It is shown that the total differential scattering length is proportional to N2 (N is a number of scatterers). Even small number of nanomagnets in the chain helps to obtain experimentally visible enhancement of spin polarization of the scattered electrons.
Keywords: scattering length; un-polarized beams; probability; nanomagnets; scattering amplitude
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Senbeta, T.; Mal’nev, V.N. 2D Spin-Dependent Diffraction of Electrons From Periodical Chains of Nanomagnets. Appl. Sci. 2012, 2, 220-232.
Senbeta T, Mal’nev VN. 2D Spin-Dependent Diffraction of Electrons From Periodical Chains of Nanomagnets. Applied Sciences. 2012; 2(1):220-232.
Senbeta, Teshome; Mal’nev, Vadim N. 2012. "2D Spin-Dependent Diffraction of Electrons From Periodical Chains of Nanomagnets." Appl. Sci. 2, no. 1: 220-232.