A microscopic approach to the dimerization in the frustrated spin-1/2 antiferromagnetic chains

Abstract

The spontaneous dimerization of the frustrated spin-$\frac{1}{2}$ antiferromagnetic chains is studied by a microscopic approach based on a proper set of composite operators (i.e., pseudo-spin operators). Two approximation schemes are developed. Firstly, a spin-wave approximation is made by a Dyson-Maléev-like boson transformation. The ground-state properties and the triplet excitation spectra are obtained as functions of the coupling parameter. Secondly, based on the pseudo-spin operators, a microscopic treatment is formulated within the framework of the powerful, systematic coupled-cluster method (CCM). Comparison between various approximations is made. The advantage of the CCM for the purposes of systematic improvement is emphasized.

13 pages (3 ps figures will be provided on request), plain.tex

References in corpus (2)

• Exact Results of Dimerization Order Parameter in $SU(n)$ Antiferromagnetic Chains
• Disordered Flat Phase in a Solid on Solid Model of Fcc(110) Surfaces and Dimer States in Quantum Spin-1/2 Chains

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