Theory of localized magnons in Ni++ - Doped manganese salts

Michael Thorpe

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

There has been a series of optical experiments recently in which one or two magnons are created in the vicinity of a Ni++ impurity in RbMnF3, KMnF3, and MnF2. The single-magnon excitations can be understood using existing Green's-function theory. We find that this theory; which uses the Holstein-Primakoff transformation, is adequate for the host (spin 52) but leads to certain difficulties at the impurity (spin 1), even in the present case where the impurity-host coupling is large. The line shape for the pair modes can be calculated when one of the two magnons is highly localized, thus allowing the three-body problem to be solved as an effective two-body problem. We show that if the lattice contains one magnon localized on the impurity itself, the impurity acts as though its spin were reduced from S′ to S′ - 1 (i.e., as a vacancy, in the case of Ni). Many of the experiments can be explained without a detailed knowledge of the Ni-Mn exchange, which is fortunate in the case of the rutile structure where it is probably complicated. We briefly discuss the g factors of the various modes and show that they can lead to useful information about the spatial extent of the excitations.

Original languageEnglish (US)
Pages (from-to)2690-2702
Number of pages13
JournalPhysical Review B
Volume2
Issue number7
DOIs
StatePublished - 1970
Externally publishedYes

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Manganese
magnons
manganese
Salts
Impurities
salts
impurities
two body problem
three body problem
Green's function
rutile
excitation
Vacancies
line shape
Green's functions
Experiments

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Theory of localized magnons in Ni++ - Doped manganese salts. / Thorpe, Michael.

In: Physical Review B, Vol. 2, No. 7, 1970, p. 2690-2702.

Research output: Contribution to journalArticle

Thorpe, Michael. / Theory of localized magnons in Ni++ - Doped manganese salts. In: Physical Review B. 1970 ; Vol. 2, No. 7. pp. 2690-2702.
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