Series expansion analysis of a tetrahedral cluster spin chain |
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Authors: | M. Arlego W. Brenig |
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Affiliation: | 1. Institut für Theoretische Physik, Technische Universit?t Braunschweig, 38106, Braunschweig, Germany
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Abstract: | Using analytical series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin- 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. |
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Keywords: | 75.10.Jm Quantized spin models 75.50.Ee Antiferromagnetics 02.30.Mv Approximations and expansions |
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