On the accuracy of the density matrix renormalization group method
Abstract
White's density matrix renormalization group ({DMRG}) method has been applied to the one-dimensional Ising model in a transverse field ({ITF}), in order to study the accuracy of the numerical algorithm. Due to the exact solubility of the {ITF} for any finite chain length, the errors introduced by the basis truncation procedure could have been directly analysed. By computing different properties, like the energies of the low-lying levels or the ground-state one- and two-point correlation functions, we obtained a detailed picture, how these errors behave as functions of the various model and algorithm parameters. Our experience with the {ITF} contributes to a better understanding of the {DMRG} method, and may facilitate its optimization in other applications.
Cite
@article{arxiv.cond-mat/9809035,
title = {On the accuracy of the density matrix renormalization group method},
author = {Ors Legeza and Gabor Fath},
journal= {arXiv preprint arXiv:cond-mat/9809035},
year = {2009}
}
Comments
22 pages, 7 figures