A NONLOCAL APPROACH TO VERTEX MODELS AND QUANTUM SPIN SYSTEMS

Hans Gerd Evertz () and Mihai Marcu ()
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Hans Gerd Evertz: Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL 32306, USA
Mihai Marcu: School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 06, 1147-1159

Abstract: We discuss the loop-algorithm, a new type of cluster algorithm that reduces critical slowing down in vertex models and in quantum spin systems. We cover the example of the 6-vertex model in detail. For the F-model, we present numerical results that demonstrate the effectiveness of the loop algorithm. We show how to modify the original algorithm for some more complicated situations, especially for quantum spin systems in one and two dimensions, and we discuss parallelization.

Keywords: Quantum Spin Systems; Quantum Monte Carlo; Cluster algorithms; Vertex Models (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000902

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