Monte Carlo Simulations of a Disordered Binary Ising Model

Abstract

In this work we study a disordered binary Ising model on the square lattice. The model system consists of two different particles with spin-1/2 and spin-1, which are randomly distributed on the lattice. It has been considered only spin nearest-neighbor exchange interactions with J > 0. This system can represent a disordered magnetic binary alloy AxB1−x, obtained from the high temperature quenching of a liquid mixture. The results were obtained by the use of Monte Carlo simulations for several lattice sizes L, temperature T and concentration x of ions A with spin-1/2. We found its critical temperature, through the reduced fourth-order Binder cumulant for the several values of the concentration x of particles (spin-1/2, spin-1), and also the magnetization, the susceptibility and the specific heat as a function of temperature T . * Electronic address: dcambui@fisica.ufmt.br † Electronic address: aarruda@fisica.ufmt.br ‡ Electronic address: mgodoy@fisica.ufmt.br

Hysteresis behavior of the binary Ising model

“…On the theoretical side, literature contains works devoted to the critical and thermodynamical properties of the binary alloys such as Perturbation Theory [5], mean field approximation (MFA) [6][7][8][9][10][11][12][13][14][15], Bethe-Peirls Approximation [16], effective field theory (EFT) [17][18][19][20][21][22][23][24][25][26][27] and Monte Carlo (MC) simulation [28][29][30][31][32][33][34][35][36]. In theoretical literature, some other models exist such as Heisenberg model [37].…”

Phase Diagrams of Generalized Spin-S Magnetic Binary Alloys

“…Perturbation theory was also used for extended spin S model [45]. On the other hand, the system consisting of different spin values such as spin-1/2-1 has been examined by several methods such as EFT for amophous ferrimagnetic [46][47][48] and ferromagnetic [49][50][51][52] binary alloys; MFT [53][54][55] and MC [56] methods. Spin-1/2-3/2 model has been inspected by use of MFT [54,57] and also within EFT [58,59].…”

Hysteresis Characteristics of Generalized Spin-S Magnetic Binary Alloys

“…Disordered binary alloys represented by A c B 1−c can be modeled theoretically using well-known Ising-like models. Binary alloy systems consisting of different spin values, such as half integerinteger spin valued models are investigated by means of the effective field theory (EFT) [4][5][6], mean field theory (MFT) [7][8][9] and Monte Carlo (MC) simulations [10]. Models with half integer -half integer spins are also examined by means of MFT [11] and also within the two frameworks EFT and MFT [12,13].…”