Geodesic
Electron scattering at the~domain wall
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 272-281

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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. 
@article{TMF_2011_166_2_a6,
     author = {Yu. P. Chuburin},
     title = {Electron scattering at the~domain wall},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {272--281},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2011},
     language = {ru},
     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/