Сritical properties of the Ising model in a magnetic field
M.K. Badiev, A.K. Murtazaev, M.K. Ramazanov, and M.A. Magomedov
Amirkhanov Institute of Physics of Daghestan Scientific Center of RAS 94 Yaragskovo Str., Makhachkala 367003, Russia
Received January 16, 2020, published online May 26, 2020
The phase transitions and thermodynamic properties of the three-dimensional antiferromagnetic Ising model on a layered triangular lattice in magnetic field are studied by the replica Monte Carlo method. The order of phase transitions was analyzed based on the histogram method. It was established that in the fields region 0 ≤ h ≤ 6 the phase transition is realized as a second-order one. In higher fields, the degeneracy of the ground state is lifted and the phase transition is smeared. Depending on the magnetic field value, disordered, partially ordered, and fully ordered phases are realized.
Key words: frustrations, Monte Carlo method, Ising model, phase transition.