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The Spin-Wave Continuum of The S=1/2 Linear Heisenberg Antiferromagnet

  • Gerhard Müller
  • Harry Thomas
  • Hans Beck
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)

Abstract

In the S=½ linear Heisenberg antiferromagnet (HB AF)
$$H = J\sum\limits_{{i = 1}}^{N} {{{{\vec{S}}}_{i}}.} {{\vec{S}}_{{i + 1}}} - h\sum\limits_{{i = 1}}^{N} {S_{i}^{Z}}$$
(1)
although investigated by various theoretical approaches -many important questions concerning the statics and the dynamics have remained open. Recent low-temperature neutron-scattering experiments on CuCl2•2N(C5H5) (CPC), which is a good realization of an S=½ HB AF chain, provided new important information on the dynamics of the system, such as lineshapes and the behaviour in a magnetic field /1/. The important quantity for direct comparison with experiments of this kind is the dynamic spin-correlation function in (q,ω) -space. It is the Fourier transform of <SZ (l, t) Sz (l′, o) >, and for T=o it can be written as
$${{G}_{{zz}}}(q,\omega ) = \sum\nolimits_{\lambda } {{{M}_{\lambda }}} \delta (\omega + {{E}_{O}} - {{E}_{\lambda }}),{{M}_{\lambda }} = 2\pi \left| { < o} \right|\left| {{{S}^{Z}}(q)} \right|{{\left| {\lambda > } \right|}^{2}}$$
(2)

Keywords

Lower Branch Spectral Weight Lower Excited State Condense Matter System Rigorous Derivation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    I.U. Heilmann, G. Shirane, Y. Endoh, R.J. Birgenau, and S.L. Holt, to be publishedGoogle Scholar
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Gerhard Müller
    • 1
  • Harry Thomas
    • 1
  • Hans Beck
    • 2
  1. 1.Institut für PhysikUniversität BaselBaselSwitzerland
  2. 2.Institut de PhysiqueUniversité de NeuchâtelNeuchâtelSwitzerland

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