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


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

1980

AUTHORS

Gerhard Müller , Harry Thomas , Hans Beck

ABSTRACT

In the S=½ linear Heisenberg antiferromagnet (HB AF) (1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H = J\sum\limits_{{i = 1}}^{N} {{{{\vec{S}}}_{i}}.} {{\vec{S}}_{{i + 1}}} - h\sum\limits_{{i = 1}}^{N} {S_{i}^{Z}}$$\end{document} 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 , and for T=o it can be written as (2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{G}_{{zz}}}(q,\omega ) = \sum\nolimits_{\lambda } {{{M}_{\lambda }}} \delta (\omega + {{E}_{O}} - {{E}_{\lambda }}),{{M}_{\lambda }} = 2\pi \left| { < o} \right|\left| {{{S}^{Z}}(q)} \right|{{\left| {\lambda > } \right|}^{2}}$$\end{document} More... »

PAGES

151-155

Book

TITLE

Ordering in Strongly Fluctuating Condensed Matter Systems

ISBN

978-1-4684-3628-0
978-1-4684-3626-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4684-3626-6_12

DOI

http://dx.doi.org/10.1007/978-1-4684-3626-6_12

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1009595743


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