Cluster Monte Carlo Study of Magnetic Dipoles

Seung Ki Baek

J. Korean Phys.Soc. 59,2381 [doi: 10.3938/jkps.59.2381 | PDF Download]

We implement a cluster-update Monte Carlo algorithm to simulate magnetic dipoles of the XY-spin type, confined in the two-dimensional plane. The long-range character and anisotropy in the dipole interaction are handled by the Luijten-Bl\"ote algorithm and the Dotsenko-Selke-Talapov algorithm, respectively. We have checked performance of this algorithm in comparison to the Metropolis algorithm and found that it equilibrates the system faster in terms of the number of flipped spins, although the overall computational complexity of the problem remains the same.