Mathematical structure of magnons in quantum ferromagnets

T  Michoel; A  Verbeure

doi:10.1088/0305-4470/32/32/303

Mathematical structure of magnons in quantum ferromagnets

T Michoel, A Verbeure

Royal (Dick) School of Veterinary Studies

Research output: Contribution to journal › Article › peer-review

Abstract

We provide the mathematical structure and a simple, transparent and rigorous derivation of the magnons as elementary quasi-particle excitations at low temperatures and in the infinite spin limit for a large class of Heisenberg ferromagnets. The magnon canonical variables are obtained as fluctuation operators in the infinite spin limit. Their quantum character is governed by the size of the magnetization.

Original language	English
Pages (from-to)	5875-5883
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	32
DOIs	https://doi.org/10.1088/0305-4470/32/32/303
Publication status	Published - 13 Aug 1999

Keywords / Materials (for Non-textual outputs)

Condensed matter
electrical, magnetic and optical

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10.1088/0305-4470/32/32/303

JPA32 5875Final published version, 133 KB

http://iopscience.iop.org/0305-4470/32/32/303/

Cite this

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abstract = "We provide the mathematical structure and a simple, transparent and rigorous derivation of the magnons as elementary quasi-particle excitations at low temperatures and in the infinite spin limit for a large class of Heisenberg ferromagnets. The magnon canonical variables are obtained as fluctuation operators in the infinite spin limit. Their quantum character is governed by the size of the magnetization.",

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AU - Verbeure, A

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AB - We provide the mathematical structure and a simple, transparent and rigorous derivation of the magnons as elementary quasi-particle excitations at low temperatures and in the infinite spin limit for a large class of Heisenberg ferromagnets. The magnon canonical variables are obtained as fluctuation operators in the infinite spin limit. Their quantum character is governed by the size of the magnetization.

KW - Condensed matter

KW - electrical, magnetic and optical

U2 - 10.1088/0305-4470/32/32/303

DO - 10.1088/0305-4470/32/32/303

M3 - Article

SN - 0305-4470

VL - 32

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EP - 5883

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 32

ER -

Mathematical structure of magnons in quantum ferromagnets

Abstract

Keywords / Materials (for Non-textual outputs)

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