St. Petersburg Polytechnical University Journal: Physics and Mathematics (Oct 2022)

Application of hybrid multispin Monte Carlo method to artificial dipole ice on hexagonal and Cairo lattices

  • Makarova Kseniia,
  • Makarov Aleksandr,
  • Nefedev Konstantin

DOI
https://doi.org/10.18721/JPM.153.113
Journal volume & issue
Vol. 15, no. 3.1

Abstract

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We apply the hybrid multispin Monte Carlo method to calculate the properties for artificial dipole ice on hexagonal and Cairo lattices. The method is based on combining a random selection of a set of spins (cluster) using the Monte Carlo with complete enumeration of all states of the selected cluster. The method works only for Ising models with a restricted radius of interaction. In addition, the method makes it possible to bring spin systems to the ground state at low temperatures.

Keywords