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arXiv:cond-mat/9610221 · Nuclear Physics B

The density matrix renormalization group method applied to interaction round a face Hamiltonians

Germán Sierra, Tomotoshi Nishino

Published Jun 1, 1997• 58 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(97)00217-4

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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-SSS interaction ${\mathbf{S}}_{i}\ensuremath{\cdot}{\mathbf{S}}_{i+1}$ are explicitly derived. Using the IRF-DMRG with these IRF weights, the Haldane gaps $\ensuremath{\Delta}$ and the ground state energy densities e0{e}_{0}e0​ for both S=1S=1S=1 and S=2S=2S=2 isotropic antiferromagnetic Heisenberg quantum spin chains are calculated by keeping up to only m=90m=90m=90 states.
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 Si⋅Si+1{\bf S}_{i} \cdot {\bf S}_{i+1}Si​⋅Si+1​ are derived explicitly. Using the IRF-DMRG with these IRF weights, the Haldane gaps ΔΔΔ and the ground state energy densities e0e_{0}e0​ for both S=1 and S=2 isotropic antiferromagnetic Heisenberg quantum spin chains are calculated by keeping up to only m=90 states.