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Magnetic Properties of Layered Transition Metal Compounds pp 191–229Cite as

Spin Waves in Two-Dimensional Magnetic Systems: Theory And Applications

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Part of the book series: Physics and Chemistry of Meterials with Low-Dimensional Structures ((PCMALS,volume 9))

Abstract

This chapter is concerned with the elementary excitations, and the thermodynamic quantities derived from them, of two-dimensional (2-d) ordered magnetic systems in which the primary interaction is nearest-neighbor Heisenberg exchange. It has since long been recognized that the excitation spectrum of such systems comprises energies that, irrespective of the dimensionality, are substantially below, say, 2z\J\S, in which J represents the exchange and z the magnetic coordination number. In the classical picture, the transverse components of the spins take part in collective precessions, and the long-wavelength modes of these precessions have energies near zero. These concepts were first introduced by Bloch [1]. Presently, assuming the presence of translational invariance, we commonly refer to these motions as spin waves, or the quantum-mechanical equivalent, magnons.

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Author information

Authors and Affiliations

  1. Faculty of Physics and Astronomy, University of Utrecht, P.O. Box 80.000, 3508 TA, Utrecht, The Netherlands

    H. W. de Wijn

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  1. A. F. M. Arts
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  2. H. W. de Wijn
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Editors and Affiliations

  1. Kamerlingh Onnes Laboratory, Leiden University, The Netherlands

    L. J. de Jongh

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© 1990 Kluwer Academic Publishers

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Arts, A.F.M., de Wijn, H.W. (1990). Spin Waves in Two-Dimensional Magnetic Systems: Theory And Applications. In: de Jongh, L.J. (eds) Magnetic Properties of Layered Transition Metal Compounds. Physics and Chemistry of Meterials with Low-Dimensional Structures, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1860-3_4

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  • DOI: https://doi.org/10.1007/978-94-009-1860-3_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7329-5

  • Online ISBN: 978-94-009-1860-3

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