Generalized Monte Carlo loop algorithm for two-dimensional frustrated Ising models

Hans De Sterck, Roger G. Melko

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5 Citations (Scopus)


We introduce a generalized loop move (GLM) update for Monte Carlo simulations of frustrated Ising models on two-dimensional lattices with bond-sharing plaquettes. The GLM updates are designed to enhance Monte Carlo sampling efficiency when the system's low-energy states consist of an extensive number of degenerate or near-degenerate spin configurations, separated by large energy barriers to single spin flips. Through implementation on several frustrated Ising models, we demonstrate the effectiveness of the GLM updates in cases where both degenerate and near-degenerate sets of configurations are favored at low temperatures. The GLM update's potential to be straightforwardly extended to different lattices and spin interactions allows it to be readily adopted on many other frustrated Ising models of physical relevance.

Original languageEnglish
Article number036704
JournalPhysical Review E
Issue number3
Publication statusPublished - 13 Mar 2012
Externally publishedYes

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