A systematic study of both classical and quantum geometric frustrated Ising models with a
competing ordering mechanism is reported in this paper. The ordering comes in the …

Random quenched dilution of the triangular-lattice antiferromagnetic Ising model locally
relieves frustration, leading to ordering phenomena. We have studied this system, under …

By using frustration-preserving hard-spin mean-field theory, we investigated the phase-
transition dynamics in the three-dimensional field-free±J Ising spin-glass model. As the …

Hard-spin mean-field theory is an improved mean-field approach which has proven to give
accurate results, especially for frustrated spin systems, with relatively little computational …

We investigate the dissipative loss in the±J Ising spin glass in three dimensions through the
scaling of the hysteresis area, for a maximum magnetic field that is equal to the saturation …

Histogram Monte-Carlo simulation results are presented for the magnetic-field-temperature
phase diagram of the Ising model on a stacked triangular lattice with antiferromagnetic …

Hysteresis loops are obtained in the Ising spin-glass phase in d= 3 using frustration-
conserving hard-spin mean-field theory. The system is driven by a time-dependent random …

The roughening phase diagram of the d= 3 Ising model with uniaxially anisotropic
interactions is calculated for the entire range of anisotropy, from decoupled planes to the …

Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding
the absence and presence of an interface roughening transition respectively in d= 2 and d …

In a random spin system, the cooperation of randomness and frustration will lead to a spin-
glass phase. However, in geometrically frustrated spin systems, quenched nonmagnetic …