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Series expansion analysis of a tetrahedral cluster spin chain

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  • M. Arlego
  • W. Brenig

Abstract

Using analytical series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin- $\frac{1}{2}$ chain. Starting from the limit of isolated tetrahedra we analyze the evolution of the ground state energy and the elementary triplet dispersion as a function of the inter-tetrahedral coupling. The quantum phase diagram is evaluated and is shown to incorporate a singlet product, a dimer, and a Haldane phase. Comparison of our results with those from several other techniques, such as density matrix renormalization group, exact diagonalization, bond-operator theory and other numerical series expansion are provided and convincing agreement is found. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • M. Arlego & W. Brenig, 2006. "Series expansion analysis of a tetrahedral cluster spin chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 53(2), pages 193-198, September.
    • Handle: RePEc:spr:eurphb:v:53:y:2006:i:2:p:193-198
    DOI: 10.1140/epjb/e2006-00366-7
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