Green's function theory for spin- 1 2 ferromagnets with an easy-plane exchange anisotropy

Daisuke Yamamoto, Synge Todo, Susumu Kurihara

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The many-body Green's function theory with the random-phase approximation is applied to the study of easy-plane spin-1/2 ferromagnets in an in-plane magnetic field. We demonstrate that the usual procedure, in which only the three Green's functions Siμ; Sj- (μ=+,-,z) are used, yields unreasonable results in this case. Then the problem is discussed in more detail by considering all combinations of Green's functions. We can derive one more equation, which cannot be obtained by using only the set of the above three Green's functions, and point out that the two equations contradict each other if one demands that the identities of the spin operators are exactly satisfied. We discuss the cause of the contradiction and attempt to improve the method in a self-consistent way. In our procedure, the effect of the anisotropy can be appropriately taken into account and the results are in good agreement with the quantum Monte Carlo calculations.

Original languageEnglish
Article number024440
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number2
DOIs
Publication statusPublished - 2008 Jul 30

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Green's function
Anisotropy
Green's functions
anisotropy
Magnetic fields
operators
causes
approximation
magnetic fields

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Green's function theory for spin- 1 2 ferromagnets with an easy-plane exchange anisotropy. / Yamamoto, Daisuke; Todo, Synge; Kurihara, Susumu.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 2, 024440, 30.07.2008.

Research output: Contribution to journalArticle

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