Effects of selective dilution on phase diagram and ground-state magnetizations of an Ising antiferromagnet on triangular and honeycomb lattices

Abstract

We employ an effective-field theory with correlations in order to study the phase diagram and ground-state magnetizations of a selectively diluted Ising antiferromagnet on triangular and honeycomb lattices. Dilution of different sublattices with generally unequal probabilities results in a rather intricate phase diagram in the sublattice dilution parameters space. In the case of the frustrated triangular lattice antiferromagnet the selective dilution affects the degree of frustration which can lead to some peculiar phenomena, such as reentrant behavior of long-range order or unsaturated sublattice magnetizations at zero temperature. The selectively diluted Ising antiferromagnet on the honeycomb lattice is obtained as a special case when one sublattice of the triangular lattice is completely removed by dilution.

Phase transitions in a triangular Blume-Capel antiferromagnet

“…Generally, the lack of order in frustrated spin systems is due to large ground-state degeneracy and the above studies have shown that such degeneracy can be considerably affected by the spin magnitude, which can lead to long-range ordering. Nevertheless, the large degeneracy can also be lifted by some other perturbations, resulting in long-range ordering even in the highly frustrated spin-1/2 system, such as an external magnetic field [7][8][9][10] , selective dilution 11,12 or inclusion of the exchange interactions with further neighbors [13][14][15][16][17][18] .…”

Magnetic properties of a spin-1 triangular Ising system

“…These facts are seen explicitly using the EFT on the different systems such as in a triangular lattice [10,19], an ultrathin Ising film [20], and on a honeycomb lattice [21]. Within the framework of the EFT with correlations, one can easily find the sublattice magnetizations, and the quadrupolar moment terms as coupled equations for the diluted triangular lattice as follows:…”

“…The triangular Blume-Capel (BC) model has been studied by using Monte-Carlo simulations (MCs) and discussed that the effects of bond randomness on the universality aspects of a two dimensional BC model embedded in a triangular lattice have been discussed [9]. Žukovič et al [10] examined the effects of selective dilution on the phase diagrams and ground-state magnetizations of the spin-1/2 Ising antiferromagnetic model by using EFT. They found that the obtained results showed a fairly good agreement with previous studies using different methods.…”

The Kinetic Spin-1 Ising System on Triangular Lattice: the Effects of Crystal Field and Frequency of Oscillating External Magnetic Field

“…Therefore, there have been increasing numbers of works dealing with the Ising system on a triangular lattice in the very recently literature (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and references therein). We should also Mehmet Ertaş mehmetertas@erciyes.edu.tr 1 Department of Physics, Erciyes University, 38039 Kayseri, Turkey mention that the spin-1 Ising model on triangular lattice has been also studied using the well-known methods in the equilibrium statistical physics, such as the position-space renormalization group methods [17,[38][39][40][41], finite-size scaling analysis [18], twospin cluster effective field theory (EFT) [19], Monte Carlo simulations [20][21][22][23] and EFT with correlation [24] In spite of these studies, in the best of our knowledge, the dynamic phase transitions and dynamic phase diagrams of kinetic Ising system on triangular lattice have not been investigated.…”