1978
DOI: 10.1103/physrevb.18.2422
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The Elliott relation in pure metals

Abstract: The Elliott relation is a very simple formula relating the parameters of the conduction-electron spinresonance line in pure metals: the square of the g shift must be proportional to the ratio of the spin over momentum relaxation rates. In this paper we test the Elliott relation by considering the available data on Na, K, Rb, Cs, Be, Mg, Pd, Cu, Ag, Au, Al. The fit happens to be surprisingly good.

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Cited by 138 publications
(76 citation statements)
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“…In the widely investigated Ni 80 Fe 20 /Cu, for example, DR NL initially increases on cooling but then drops (by 10-40%, dependent on dimensions) below B40 K (refs 8,10,18,30-33). This is in stark contrast to expectations from the E-Y mechanism 17,38 , which posits t s pt p (where t s is the NM spin lifetime and t p the momentum relaxation time), that is, that spin relaxation occurs with finite probability at each momentum scattering event (B1 Â 10 À 3 for pure Cu 38 ). A monotonic decrease in NM resistivity (r N ) on cooling implies a monotonic increase in t p , and thus a monotonic increase in t s and l N , in direct contradiction with observations.…”
contrasting
confidence: 47%
“…In the widely investigated Ni 80 Fe 20 /Cu, for example, DR NL initially increases on cooling but then drops (by 10-40%, dependent on dimensions) below B40 K (refs 8,10,18,30-33). This is in stark contrast to expectations from the E-Y mechanism 17,38 , which posits t s pt p (where t s is the NM spin lifetime and t p the momentum relaxation time), that is, that spin relaxation occurs with finite probability at each momentum scattering event (B1 Â 10 À 3 for pure Cu 38 ). A monotonic decrease in NM resistivity (r N ) on cooling implies a monotonic increase in t p , and thus a monotonic increase in t s and l N , in direct contradiction with observations.…”
contrasting
confidence: 47%
“…This allowed to study the temperature dependent spin relaxation of conduction electrons via the line width and gave the first insights into the time scales of spin relaxation. [95][96][97] It motivated the theoretical work. Later, the Kambersk y model 98 was developed for energy relaxation of the ferromagnetic resonance (FMR).…”
Section: Theoretical Perspectivesmentioning
confidence: 99%
“…The former of these equations is known as the Elliott relation. The EY theory 2 explained spin relaxation for most monovalent elemental metals, 4,5 later studies showed its validity in one-dimensional 6 and polyvalent 7,8 metals, and its generalization explained the spin relaxation in metals with strong correlations. 9,10 The recent discovery of graphene 11 directed the attention of spintronics research toward carbon nanostructures.…”
Section: Introductionmentioning
confidence: 99%