Blockspin Scheme and Cluster Algorithm for Quantum Spin Systems

1992/11/12 by He-Ping Ying, Ying, He-Ping, Uwe-Jens Wiese +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9211034

contribution to the Amsterdam Lattice '92 conference, 4 pages, figures not included, stylefile espcrc2.sty required, BUTP-92/33

arxiv created 1992/11/12 · openalex publication_date 1992/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a numerical study using a cluster algorithm for the 1-d S=1/2 quantum Heisenberg models. The dynamical critical exponent for anti-ferromagnetic chains is z=0.0(1) such that critical slowing down is eliminated.

Related

• Vertex Models and Quantum Spin Systems: a nonlocal approach
• The Loop-Cluster Algorithm for the Case of the 6 Vertex Model
• Numerical Block-Diagonalization and Linked Cluster Expansion for Deriving Effective Hamiltonians: Applications to Spin Excitations
• Application of a continous time cluster algorithm to the Two-dimensional Random Quantum Ising Ferromagnet
• Meron-Cluster Simulation of Quantum Spin Ladders in a Magnetic Field