Investigation of critical phenomena of the hard/soft magnetic bilayer model by the Monte-Carlo method

•In paper is proposed a model for the description of thermodynamic properties of hard/soft magnetic bilayer.•Thorough research of critical phenomena of this model by the Monte-Carlo method was performed.•Obtained values of critical exponents agree with the theoretical predictions for the XY-model.

A model for the description of thermodynamic properties of hard/soft magnetic bilayer is proposed. We perform a thorough research of critical phenomena of this model by the Monte-Carlo method. Critical exponents of the heat capacity α, magnetization β, susceptibility γ, and correlation radius ν are calculated using the finite-size scaling theory. Obtained values of critical exponents agree with the theoretical predictions for the XY-model.