Deviations from matthiessen's rule in the low‐temperature resistivity of iron

Abstract

The electrical resistivity of iron is measured between 2 and 30 K. The results can be extremely well explained by fitting the data to a simple two-current model including electron-magnon, electron-phonon, and electron-impurity scattering. Below 10 K large deviations from Matthiessen's rule are observed arising from the two-current character of the conduction.Der elektrische Widerstand von Eisen wird im Bereich von 2 bis 30 K gemessen. Die Ergebnisse konnen auDerordentlich gut durch Anpassung der Daten an ein einfaches Zwei-Strom-Modell, das Elektron-Magnon-, Elektron-Phonon-und Elektron-Storstellen-Streuung beriicksichtigt, erklart werden. Unterhalb von 10 K werden groSe Abweichungen von der Matthiessen-Regel, die aus dem Zwei-Strom-Charakter der Leitung resultieren, beobachtet.

On the low‐temperature resistivity of ferromagnetic transition metal alloys

“…For the pure metal these contributions to ( W ) , vanish. The calculation of the spin dependent resistivities from (2.2) and (2.3) is straightforward, and, in particular in the case of coherent scattering, proceeds along lines similar to those used in a preceding paper [7]. Beginning with the spin-disorder contribution due to the spin-conserving scattering, we need the transport integral The deviation term AR,( T) arising from the two-current character of the conduction is of the order 62Rincoh(T) a t low temperatures, and thus it can be neglected because 6 < 1.…”

“…Deviations from Matthiessen's rule arise from a number of mechanisms (for a review see [5,6]). For example, the large deviation from this rule observed in the electrical resistivity of pure iron below 1 0 K [7] is associated with the two-current nature of the conduction, whereas in the presence of disorder the significant T3i2 deviation mainly results from the incoherent electron-magnon scattering due to the breakdown of wave-vector conservation (see also [S to 111).…”