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arXiv:cond-mat/9905229 · Journal of the Physical Society of Japan

Efficiency of Asymmetric Targeting for Finite-TDMRG

Tomotoshi Nishino, Naokazu Shibata

Published Nov 15, 1999• 8 citations
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Abstract

Two targeting schemes have been known for the density matrix renormalization group (DMRG) applied to non-Hermitian problems; one uses an asymmetric density matrix and the other uses symmetric density matrix. We compare the numerical efficiency of these two targeting schemes when they are used for the finite temperature DMRG.
DOI
10.1143/jpsj.68.3501

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We present two new analytic formulations of the density matrix renormalization group (DMRG) method. In these formulations we combine the block renormalization group (BRG) procedure with the variational and Fokker-Planck methods. The BRG method is used to reduce the lattice size while the latter are used to construct approximate target states to compute the block density matrix. We apply our DMRG methods to the Ising model in a transverse field (ITF model) and compute several of its critical properties, which are then compared with the old BRG results.
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