A NONLOCAL APPROACH TO VERTEX MODELS AND QUANTUM SPIN SYSTEMS

Authors
EVERTZ HG MARCU M
Citation
Hg. Evertz et M. Marcu, A NONLOCAL APPROACH TO VERTEX MODELS AND QUANTUM SPIN SYSTEMS, International journal of modern physics C, 4(6), 1993, pp. 1147-1159
Citations number
34
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
4
Issue
6
Year of publication
1993
Pages
1147 - 1159
Database
ISI
SICI code
0129-1831(1993)4:6<1147:ANATVM>2.0.ZU;2-6
Abstract
We discuss the loop-algorithm, a new type of cluster algorithm that re duces critical slowing down in vertex models and in quantum spin syste ms. We cover the example of the 6-vertex model in detail, For the F-mo del, we present numerical results that demonstrate the effectiveness o f 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.