Abstract
The topologically singular lattice structure around a spiral dislocation scatters electrons in a manner much different from the deformation-potential-scattering. Thet-matrix is represented ast(k, k′)=t 0 sin (k z/2) exp (±i Θ kk′/2)/sin (Θ kk′/2) with the scattering angleΘ kk′, the componentk z of the wave vector parallel to the dislocation, andt 0≅(Fermi energy). This kind of scattering alone does not cause a perpendicular resistivity, but in a dirty limit a specific dislocation resistivity does exist, whose relaxation time per unit length of dislocation is of the order ofℏ/(Fermi energy).
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References
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Work performed within the research program of the Sonderforschungsbereich 125 Aachen-Jülich-Köln
On leave of absence from Department of Materials Science, Hiroshima University, Higashisenda-machi, Hiroshima, Japan
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Kawamura, K. A new theory on scattering of electrons due to spiral dislocations. Z Physik B 29, 101–106 (1978). https://doi.org/10.1007/BF01313193
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DOI: https://doi.org/10.1007/BF01313193