Direct Extension of Density-Matrix Renormalization Group toward 2-Dimensional Quantum Lattice Systems: Studies for Parallel Algorithm, Accuracy, and Performance

Simple item page
dc.creatorYamada, S.
dc.creatorOkumura, M.
dc.creatorMachida, M.
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:28Z
dc.date.available2026-07-07T08:13:28Z
dc.descriptionWe parallelize density-matrix renormalization group to directly extend it to 2-dimensional ($n$-leg) quantum lattice models. The parallelization is made mainly on the exact diagonalization for the superblock Hamiltonian since the part requires an enormous memory space as the leg number $n$ increases. The superblock Hamiltonian is divided into three parts, and the correspondent superblock vector is transformed into a matrix, whose elements are uniformly distributed into processors. The parallel efficiency shows a high rate as the number of the states kept $m$ increases, and the eigenvalue converges within only a few sweeps in contrast to the multichain algorithm.
dc.identifierhttps://arxiv.org/abs/0707.0159
dc.identifierhttp://arxiv.org/abs/0707.0159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132779
dc.subjectStrongly Correlated Electrons
dc.titleDirect Extension of Density-Matrix Renormalization Group toward 2-Dimensional Quantum Lattice Systems: Studies for Parallel Algorithm, Accuracy, and Performance
dc.typetext

Files

Collections

arXiv