Theory of the Resistance of the Rare Earth Metals

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Published under licence by IOP Publishing Ltd
, , Citation R J Elliott and F A Wedgwood 1963 Proc. Phys. Soc. 81 846 DOI 10.1088/0370-1328/81/5/308

0370-1328/81/5/846

Abstract

The electrical resistance of the heavy rare earth metals shows strong anomalies at the temperatures where the magnetic order changes. These are most marked in measurements made along the hexagonal axis. A simple theory of the effect is given on the basis of two mechanisms. The spiral spin structures found in these materials cause an exchange field at the conduction electrons with a lower symmetry than that of the lattice. This introduces new boundaries in the Brillouin zone and distorts the Fermi surface. This distortion and the scattering of the conduction electrons by the spin disorder in these materials is calculated. The order of magnitude of the effect agrees with that calculated for a simple spherical Fermi surface. Agreement between experiment and theory is improved by assuming that the Fermi surface lies inside a boundary of the original zone and is cut by a new superlattice boundary near its extremity. Further improvement is made by including the variation of the spiral pitch with temperature.

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10.1088/0370-1328/81/5/308