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Interaction Round a Face DMRG method applied to rotational invariant quantum spin chains

Tatsuaki Wada
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Abstract

An interaction-round-a-face density-matrix renormalization-group (IRF-DMRG) method is developed for higher integer spin chain models which are rotational invariant. The expressions of the IRF weights associated with the nearest-neighbor spin-S interaction ${\bf S}_{i} \cdot {\bf S}_{i+1}$ are derived explicitly. Using the IRF-DMRG with these IRF weights, the Haldane gaps $Δ$ and the ground state energy densities $e_{0}$ for both S=1 and S=2 isotropic antiferromagnetic Heisenberg quantum spin chains are calculated by keeping up to only m=90 states.

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Tatsuaki Wada. 2001-03-23. Interaction Round a Face DMRG method applied to rotational invariant quantum spin chains. https://arxiv.org/abs/cond-mat/9909003

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