We study the S =1 Ising model on a triangular lattice with antiferromagnetic nearest-neighbour coupling and second and third neighbour interactions. We also consider the effect of anisotropy. At low temperature several phases where magnetic and nonmagnetic sites coexist are obtained because of magnetic...
We investigate the quantum dynamics of the antiferromagnetic transverse field Ising model on the triangular lattice through large-scale quantum Monte Carlo simulations and stochastic analytic continuation. This model effectively describes a series of triangular rare-earth compounds, for example, TmMgGaO4. ...
The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite temperature and function correlaction, are calculated by treatment...
The exact integer values for the density of states of the Ising model on an equilateral triangular lattice with free boundary conditions are evaluated up to L = 24 spins on a side for the first time by using the microcanonical transfer matrix. The total number of states is 2 N s = 2300...
Different types of lattice and the neighbor coordination used in the Ising model, (a) 2D square lattice, (b) 2D triangular lattice, (c) 3D simple cubic lattice. Ideally the type of lattice should have no physical significance to the system being simulated and should not influence the ...
The analytic properties of the Baxter-Wu solution for the Ising model with pure triplet interactions on the triangular lattice are investigated. In particular, it is shown that the free energy per spin of the model can be written in the explicit form $-(F/k_{B}T)$ = (2|J|/$k_{B}...
Indeed, the 2D Transverse Field Ising Model (TFIM) on an AFM triangular lattice turned out to have a quantum critical point in the 3D XY universality class (Fig. 1a)3,11,12. Similarly, the TFIM on a fully frustrated square lattice, known as the Villain model13, was shown to share ...
The magnetocaloric response of the mixed spin-1/2 and spin-S (S>1/2) Ising model on a decorated square lattice is thoroughly examined in presence of the transverse magnetic field within the generalized decoration-iteration transformation, which provides
Magnetism plays a key role in modern science and technology, but still many open questions arise from the interplay of magnetic many-body interactions. Deeper insight into complex magnetic behaviour and the nature of magnetic phase transitions can be obt
∞. In particular, we find that the pure triplet interaction Ising model is equivalent to one with pure nearest-neighbor pair interaction on the lattice, and the two systems have the same critical behavior. This is in contrast with that of triangular lattice and Sierpinski gasket ...