Generalization of the Fortuin-Kasteleyn transformation and its application to quantum spin simulations.

DOI10.1007/BF02178358zbMath1081.82509arXivcond-mat/9502065MaRDI QIDQ1593250

Naoki Kawashima, James E. Gubernatis

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9502065

zbMATH Keywords

cluster algorithmHeisenberg modelquantum Monte Carlo\(XXZ\) model\(XY\) model

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Order-\(n\) cluster Monte Carlo method for spin systems with long-range interactions ⋮ Cluster algorithms for anisotropic quantum spin models.

Cites Work

• Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations

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