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

1999/09/30 by Tatsuaki Wada
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as Phys. Rev. E 61, 3199-3206 (2000) · Corrected some figures and typo errors. 8 pages, 12 eps figures

arxiv created 2001/03/23 · arxiv updated 2009/11/30

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 ⋅ \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 e₀ 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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