Open AccessBLOCKSPIN SCHEME AND THE CLUSTER-UPDATING ALGO-RITHMS FOR THE QUANTUM SPIN SYSTEMS
Author(s) -
Ying Huang,
U. J. Wiesb
Publication year - 1993
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.42.665
Subject(s) - isotropy , anisotropy , cluster (spacecraft) , scheme (mathematics) , spin (aerodynamics) , quantum , physics , magnet , lattice (music) , computer science , vortex , fermi gamma ray space telescope , statistical physics , condensed matter physics , quantum mechanics , mathematics , mathematical analysis , acoustics , thermodynamics , programming language
In this paper, we proposed a blockspin scheme and developed the usual cluster-updating algorithms for the one-and two-dimensional quantum spin systems, saying s=1/2 isotropic Hei-senberg models. The results for he ferro-and antiferro-magnet chains showed that the criti-cal slowing down (CSD) was indeed eliminated, and so it offered a possibility to improve the estimations in the lower-temperature region. We expect that the algorithms could also be ap-plied to the anisotropic or/and the higher-spin cases, as will as some other interesting models, such as eight-vortex lattice model and low-dimensional Fermi-systems.