Geodesic
Electron scattering at the domain wall
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 272-281 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the transmission and reflection coefficients for the Hamiltonian of a spin-polarized electron passing through the domain wall in a ferromagnetic quantum wire. We prove that total reflection occurs for energies $\lambda\in (-\alpha,\alpha)$ ($-\alpha$ is the boundary of the essential spectrum) for both sufficiently small and sufficiently large $\lambda$, which agrees with the ballistic magnetoresistance effect in ferromagnetic nanocontacts. For energies $\lambda>\alpha$, almost total reflection becomes almost total transmission, and both effects occur without a spin flip.
Keywords: Schrödinger operator, spin-polarized electron
Mots-clés : transmission coefficient, reflection coefficient, domain wall. 
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     author = {Yu. P. Chuburin},
     title = {Electron scattering at the~domain wall},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a6/}
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Yu. P. Chuburin. Electron scattering at the domain wall. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 272-281. http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a6/

[1] V. K. Dugaev, J. Barnaś, J. Berakdar, J. Phys. A, 36:35 (2003), 9263–9274 | DOI | Zbl

[2] R. Sýkora, I. Turek, Acta Phys. Polonica A, 113:1 (2008), 15–18 | DOI

[3] N. García, M. Muñoz, Y.-W. Zhao, Phys. Rev. Lett., 82:14 (1999), 2923–2926 | DOI

[4] H. D. Chopra, S. Z. Hua, Phys. Rev. B, 66:2 (2002), 020403(R), 3 pp. | DOI

[5] Yu. P. Chuburin, TMF, 120:2 (1999), 277–290 | DOI | MR | Zbl

[6] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, v. 3, Teoriya rasseyaniya, Mir, M., 1982 | MR | MR | Zbl