Thermodynamic description of the Ising antiferromagnet on triangular lattice with selective dilution by modified Pair Approximation method

Abstract

The Pair Approximation method is modified in order to describe the systems with geometrical frustration. The Ising antiferromagnet on triangular lattice with selective dilution (Kaya-Berker model) is considered and a self-consistent thermodynamic description of this model is obtained. For this purpose, the Gibbs free-energy as a function of temperature, concentration of magnetic atoms on the selected sublattice, and external magnetic field is derived. In particular, the phase diagram is constructed and a comparison of different methods is presented. The thermodynamic quantities are discussed in the context of their physical validity and the improvement in the description introduced by modified method is emphasized.

To appear in Physical Review E

References in corpus (10)

• The frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
• Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and $J_1{J}_2{J}_3$ model with Heisenberg interactions
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Phase Diagram of a Diluted Triangular Lattice Ising Antiferromagnet in a Field
• Monte Carlo studies of the Ising square lattice with competing interactions
• Phase transitions in a triangular Blume-Capel antiferromagnet
• Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices
• Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices
• Monte Carlo study of degenerate groundstates and residual entropy in a frustrated honeycomb lattice Ising model

Cited by in corpus (1)

• The Pair Approximation method for the ferromagnetic Heisenberg model with spin $S=1$ and arbitrary range of interactions. Application for the magnetic semiconductor CrIAs