Series expansion analysis of a tetrahedral cluster spin chain

Details Series expansion analysis of a tetrahedral cluster spin chain Series expansion analysis of a tetrahedral cluster spin chain

2005-09-14

arxiv.org/abs/cond-mat/0509371v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures, 1 table

Scientific paper

10.1140/epjb/e2006-00366-7

Using series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin-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 and bond-operator theory are provided and convincing agreement is found.

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