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

Simulation of physical processes
Authors:
Makarova Kseniia V. Makarov Aleksandr G. Nefedev Konstantin V.
Abstract:

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.

Funding:

The results of studies related to the development of a theoretical model, samples and physical experiments were obtained within the framework of the state task of the Ministry of Education and Science of Russia (No. 0657-2020-0005). The results of research related to coding were obtained at the expense of the grant of the President of the Russian Federation for state support of the leading scientific schools of the Russian Federation (NSh-2559.2022.1.2). The results of research related to the development of algorithms were obtained within the framework of the state task of the Ministry of Education and Science of Russia (No. 075- 00771-22-00).

Key words:
hybrid Monte Carlo dipolar antiferromagnets spin ice statistical thermodynamics
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