Exact Results for Spin-Wave Renormalisation in Heisenberg and Planar Ferromagnets

E. Rastelli; Per-Anker Lindgård

doi:10.1088/0022-3719/12/10/021

Exact Results for Spin-Wave Renormalisation in Heisenberg and Planar Ferromagnets

E. Rastelli, Per-Anker Lindgård

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

An exact perturbation expansion, to the order 1/S2, is derived for the Heisenberg ferromagnet. The equivalence of the Dyson-Maleev (DM), Holstein-Primakoff (HP) and matching-of-matrix-element (MME) transformations is proven. They give identical T5/2 and T4 coefficients. For the planar ferromagnet, an exact expansion in anisotropy against exchange field proves the equivalence of the HP and MME transformations. Several explicit results and numerical estimates are given.

Original language	English
Journal	Journal of Physics C: Solid State Physics
Volume	12
Issue number	10
Pages (from-to)	1899-1916
ISSN	0022-3719
DOIs	https://doi.org/10.1088/0022-3719/12/10/021
Publication status	Published - 1979

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title = "Exact Results for Spin-Wave Renormalisation in Heisenberg and Planar Ferromagnets",

abstract = "An exact perturbation expansion, to the order 1/S2, is derived for the Heisenberg ferromagnet. The equivalence of the Dyson-Maleev (DM), Holstein-Primakoff (HP) and matching-of-matrix-element (MME) transformations is proven. They give identical T5/2 and T4 coefficients. For the planar ferromagnet, an exact expansion in anisotropy against exchange field proves the equivalence of the HP and MME transformations. Several explicit results and numerical estimates are given.",

author = "E. Rastelli and Per-Anker Lindg{\aa}rd",

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AU - Rastelli, E.

AU - Lindgård, Per-Anker

PY - 1979

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N2 - An exact perturbation expansion, to the order 1/S2, is derived for the Heisenberg ferromagnet. The equivalence of the Dyson-Maleev (DM), Holstein-Primakoff (HP) and matching-of-matrix-element (MME) transformations is proven. They give identical T5/2 and T4 coefficients. For the planar ferromagnet, an exact expansion in anisotropy against exchange field proves the equivalence of the HP and MME transformations. Several explicit results and numerical estimates are given.

AB - An exact perturbation expansion, to the order 1/S2, is derived for the Heisenberg ferromagnet. The equivalence of the Dyson-Maleev (DM), Holstein-Primakoff (HP) and matching-of-matrix-element (MME) transformations is proven. They give identical T5/2 and T4 coefficients. For the planar ferromagnet, an exact expansion in anisotropy against exchange field proves the equivalence of the HP and MME transformations. Several explicit results and numerical estimates are given.

U2 - 10.1088/0022-3719/12/10/021

DO - 10.1088/0022-3719/12/10/021

M3 - Journal article

VL - 12

SP - 1899

EP - 1916

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 10

ER -

Exact Results for Spin-Wave Renormalisation in Heisenberg and Planar Ferromagnets

Abstract

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