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Consequences of Exchange in Low-Dimensional Compounds: High Temperature Spin Dynamics as Sampled by Magnetic Resonance

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Low-Dimensional Cooperative Phenomena

Part of the book series: Nato Advanced Study Institutes Series ((NSSB,volume 7))

Abstract

The isotropic exchange interaction 2JSi Sjbetween a pair of spins i and j has several consequences as it forms the dominant “glue” of interaction which makes the system of 1022 or so spins a strongly coupled one rather than a collection of independent paramagnetic particles. One may roughly divide the effects of J into static and dynamic ones, as can be seen from a simple consideration of two spins only, each with S =1/2 For antiferromagnetic coupling (J > 0 in our notation) the antiparallel (singlet) arrangement is lower in energy than the parallel (triplet) alignment by an amount 2J(1/4) − 2J(-3/4) = 2J. As a consequence the spins will tend to align antiparallel at a sufficiently low temperature T ~ 2J/kB. This effect is the root of static properties such as the magnetic susceptibility which will be discussed by Professor Gerstein in subsequent lectures.

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Author information

Authors and Affiliations

  1. Sandia Laboratories Albuquerque, New Mexico, 87115, USA

    Peter M. Richards

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  1. Peter M. Richards
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Editor information

Editors and Affiliations

  1. Anorganisch-Chemisches Institut der Universität, Heidelberg, Germany

    H. J. Keller

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© 1975 Springer Science+Business Media New York

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Richards, P.M. (1975). Consequences of Exchange in Low-Dimensional Compounds: High Temperature Spin Dynamics as Sampled by Magnetic Resonance. In: Keller, H.J. (eds) Low-Dimensional Cooperative Phenomena. Nato Advanced Study Institutes Series, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1399-2_8

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  • DOI: https://doi.org/10.1007/978-1-4757-1399-2_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1401-2

  • Online ISBN: 978-1-4757-1399-2

  • eBook Packages: Springer Book Archive

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