Spin-wave interactions in a Heisenberg ferromagnet

Marshall, W.; Murray, Galen

doi:10.1088/0022-3719/2/3/317

Cited by 14 publications

(3 citation statements)

References 11 publications

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“…An equivalent formula was derived earlier [2] for a strong itinerant ferromagnet at T = 0. Our formalism for x ensures that the corresponding neutron scattering intensity is always proportional to < SZ > in the long wavelength limit, a result stressed by Marshall and Murray [3] for the Heisenberg model and observed in metals by Stringfellow 141.…”

Section: Imentioning

confidence: 64%

“…(2) where X J ( ~, a ) = j dt <I ~;(t), JT, + eFiwi (3) with AqJi defined as [Si, XI. Thus J i is a spin current operator.…”

Section: Imentioning

confidence: 99%

“…The equation of motion for the Green's functions appearing in 4 KqF(t), ~f , s is a soluble integral equation, since the higher order Green's functions which appear are negligible at low temperatures. The procedure is much simpler than that in references [3] gives Dyson's Born approximation and inclusion of the second term yields the full T5I2 correction to Aoo(q) for arbitrary K Approximate evaluation of ZmxJ(O, Dq2) leads to known results [7] [8] for magnon lifetimes in the limits Aoo(q) > k T and fioo(q) -4 kT.…”

Section: Imentioning

confidence: 99%

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Spin Wave Interactions in Solids

Edwards

Fisher

1971

J. Phys. Colloques

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R6sum6. -On a obtenu une formulation exacte pour l'knergie Dq2 d'une onde de spin dans un solide ferromagnktique. Aucun modkle particulier n'est suppose initialement, mais la dependance en tempkrature de D due aux interactions magnon-magnon est calculCe par les moddes de Heisenberg et de l'electron itinerant. Le rksultat de Dyson pour le premier modkle est obtenu simplement, et l'approche de Izuyama et Kawasaki pour le mod6le itinkrant correspond B l'approximation de Born de Dyson. Une estimation de Dz, le coefficient de T s l z dans D est faite pour le nickel. La duree de vie des ondes de spin est discutke.Abstract.-An exact formula is obtained for the energy Dq2 of a long wavelength spin wave in a ferromagnetic solid. No particular model is assumed initially but the temperature dependence of D, due to magnon-magnon interactions, is investigated for the Heisenberg and itinerant electron models. Dyson's result for the former model is obtained simply and the approach of Izuyama and Kawasaki to the itinerant model is seen to correspond to Dyson's Born approximation. An estimate of D2, the coefficient of the T-512 term in D, is made for nickel. Spin wave life-times are discussed.

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Section: Imentioning

confidence: 64%

“…(2) where X J ( ~, a ) = j dt <I ~;(t), JT, + eFiwi (3) with AqJi defined as [Si, XI. Thus J i is a spin current operator.…”

Section: Imentioning

confidence: 99%