Phase transitions in the Heisenberg model on a layered triangular lattice in a magnetic field

ABSTRACT

The phase transitions, magnetic and thermodynamic properties of the three-dimensional antiferromagnetic Heisenberg model on a layered triangular lattice in a magnetic field are investigated employing the Monte Carlo method. The studies are carried out in the magnetic field range of 0 ≤ h ≤ 12. The magnetic structures of the ground state are obtained in a wide range of magnetic field values. The character of phase transitions is determined using the histogram method for data analysis. A second-order phase transition is found to occur in the range of 0 ≤ h ≤ 10. It is shown that a further increase in the magnetic field removes the degeneracy of the ground state and smears the phase transition.

KEYWORDS:

• Frustration
• Monte Carlo method
• Heisenberg model
• phase transitions
• magnetic field
• antiferromagnetic

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The study was carried out with the financial support of the Russian Foundation for Basic Research within the framework of scientific project No. 19-02-00153-a.