Two- and three-spin triangular ising model: Variational approximations

Zero-temperature phase transitions of an antiferromagnetic Ising model of general spin on a triangular lattice

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to calculate the critical exponents of various operators in terms of the stiffness constant of the interface. Monte Carlo simulations for the ground-state ensemble...

Frustrated mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice.

Mixed spin-1/2 and spin-1 Ising ferrimagnets on a triangular lattice with sublattices A, B, and C are studied for two spin-value distributions (S(A),S(B),S(C))=(1/2,1/2,1) and (1/2,1,1) by Monte Carlo simulations. The nonbipartite character of the lattice induces geometrical frustration in both systems, which leads to the critical behavior rather different from their ferromagnetic counterparts....

Triangular approximations of fuzzy number with value and ambiguity functions

Magnetic Properties in a Spin-1 Random Transverse Ising Model on Square Lattice

In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...

Variational study of triangular lattice spin - 1 / 2 model with ring exchanges and spin liquid state in - „ ET ... 2

We study triangular lattice spin-1 /2 system with antiferromagnetic Heisenberg and ring exchanges using variational approach focusing on possible realization of spin-liquid states. Trial spin liquid wave functions are obtained by Gutzwiller projection of fermionic mean-field states and their energetics is compared against magnetically ordered trial states. We find that in a range of the ring ex...