An Improved Initialization Procedure for the Density-Matrix Renormalization Group

dc.creatorTezuka, Masaki
dc.date2007-02-09
dc.date2007-02-10
dc.date.accessioned2026-07-07T07:58:24Z
dc.date.available2026-07-07T07:58:24Z
dc.descriptionWe propose an initialization procedure for the density-matrix renormalization group (DMRG): {\it the recursive sweep method}. In a conventional DMRG calculation, the infinite-algorithm, where two new sites are added to the system at each step, has been used to reach the target system size. We then need to obtain the ground state for a different system size for every site addition, so 1) it is difficult to supply a good initial vector for the numerical diagonalization for the ground state, and 2) when the system reduced to a 1D system consists of an array of nonequivalent sites as in ladders or Hubbard-Holstein model, special care has to be taken. Our procedure, which we call the {\it recursive sweep method}, provides a solution to these problems and in fact provides a faster algorithm for the Hubbard model as well as more complicated ones such as the Hubbard-Holstein model.
dc.description4 pages, 4 figures, submitted to JPSJ
dc.identifierhttps://arxiv.org/abs/cond-mat/0702242
dc.identifierhttp://arxiv.org/abs/cond-mat/0702242
dc.identifierJ. Phys. Soc. Jpn. 76, 053001 (May 2007)
dc.identifierdoi:10.1143/JPSJ.76.053001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127994
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleAn Improved Initialization Procedure for the Density-Matrix Renormalization Group
dc.typetext

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