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Relaxation in Antiferromagnets due to Spin-Wave Interactions
Author(s) -
A. B. Harris
Publication year - 1966
Publication title -
journal of applied physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.699
H-Index - 319
eISSN - 1089-7550
pISSN - 0021-8979
DOI - 10.1063/1.1708364
Subject(s) - antiferromagnetism , laser linewidth , physics , condensed matter physics , perturbation theory (quantum mechanics) , perturbation (astronomy) , spin wave , relaxation (psychology) , quantum mechanics , ferromagnetism , psychology , social psychology , laser
For an antiferromagnet it is shown that within perturbation theory the Holstein‐Primakoff and Dyson‐Maleev transformations do not lead to identical results for either the static or dynamic properties. By examining the spin Green's functions we justify the use of the Dyson‐Maleev transformation when there are few spin waves present. Using second‐order perturbation theory we find the antiferromagnetic resonance linewidth to be Δω0=(64ωAω0/π3S2ωE)(kT/ℏωE)2exp(−ℏω0/kT)  for  kT≪ℏω0 and Δω0=[40ωAζ(3)/π3S2](kT/ℏωE)3  for  ℏω0≪kT≪ℏωE, in qualitative agreement with the experimental results for MnF2.

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