Department of Physics Papers

Document Type

Journal Article

Date of this Version

3-1-1966

Publication Source

Journal of Applied Physics

Volume

37

Issue

3

Start Page

1128

Last Page

1129

DOI

10.1063/1.1708364

Abstract

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 line-width to be

Δω0=(64ωAω03S2ωE)(kT/ℏωE)2exp(−ℏω0/kT)  for  kT≪ℏω0

and

Δω0=[40ω(3)/π3S2](kT/ℏωE)3  for  ℏω0≪kT≪ℏωE,

in qualitative agreement with the experimental results for MnF2.

Copyright/Permission Statement

Reprinted with permission from Journal of Applied Physics. Copyright 1966, American Institute of Physics.

Comments

At the time of publication, author A. Brooks Harris was affiliated with the Atomic Energy Research Establishment (AERE), Harwell, Didcot, Berkshire, England. Currently, he is a faculty member in the Physics Department at the University of Pennsylvania.

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Date Posted: 12 August 2015

This document has been peer reviewed.