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)


In the S=½ linear Heisenberg antiferromagnet (HB AF)
$$H = J\sum\limits_{{i = 1}}^{N} {{{{\vec{S}}}_{i}}.} {{\vec{S}}_{{i + 1}}} - h\sum\limits_{{i = 1}}^{N} {S_{i}^{Z}}$$
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
$${{G}_{{zz}}}(q,\omega ) = \sum\nolimits_{\lambda } {{{M}_{\lambda }}} \delta (\omega + {{E}_{O}} - {{E}_{\lambda }}),{{M}_{\lambda }} = 2\pi \left| { < o} \right|\left| {{{S}^{Z}}(q)} \right|{{\left| {\lambda > } \right|}^{2}}$$


Lower Branch Spectral Weight Lower Excited State Condense Matter System Rigorous Derivation 


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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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