This study adopts the Monte Carlo simulation method to investigate a coupled XY model on triangular lattices in two dimensions. The simulation reveals a unique six-state clock-like phase transition in addition to an original XY phase transition. Analyzing the spin histograms exposes that the...

The high-quality magnetic fluid composition is capable of forming two-dimensional lattices of concentrated magnetic particle columns in a thin film in magnetic fields. The extraordinary lattices, a kind of novel mesoscopic system, have been explored with optical microscopy, digital imaging, and...

We investigate phase transitions of XY model on a three-layer triangular lattice by assuming that the intralayer interactions on the first and the third layer are antiferromagnetic and the one on the second layer ferromagnetic. We use Monte Carlo simulations and find that there are two critical...

We investigate phase transitions of the XY model on a two-layer triangular lattice when interactions are competing, by using Monte Carlo simulations. For the system with a ferromagnetic interaction on one of two layers and an antiferromagnetic interaction on the other layer, we find two...