On the existence of compensation temperature in 2d mixed-spin Ising ferrimagnets: an exactly solvable model

Ferrimagnetism and compensation points in a decorated 3D Ising models

“…There has been considerable work in recent years in studying these phenomena through simple models [2,3,4,5,6,7], where treatments beyond mean-field theory are possible. Of particular interest are decorated systems, which can be mapped exactly onto simpler models, and in this way solved either exactly or to a high degree of numerical precision.…”

Magnetic properties of the mixed spin-5/2 and spin-3/2 Blume-Capel Ising system on the two-fold Cayley tree

“…When defined on hierarchical graphs as the Bethe lattice or the Cayley tree, interesting statistical properties are expected. In these cases, some exact treatments [4][5][6] are possible even at high spin values. Half-integer spin models are more exciting because first, they are less studied and second, they can show multicritical behaviour or a magnetoelastic transition or instability [7].…”

“…The properties of such Ising systems have been studied by well-known methods of equilibrium statistical mechanics such as the mean-field approximation (MFA) [3], the effective-field theory (EFT) [8,9], Monte Carlo simulations [10], cluster variation method (CVM) [11], the renormalization group approach [12], exact calculations,..etc (see [5,6,13] and references therein). Ekiz studied the mixed spin- 1 2 and spin-1 on the two-fold Cayley tree [14][15][16] by means of exact recursion relations and found a tricritical point for some values of the coordination number [4].…”

Critical behavior of low dimensional magnetic systems

“…Therefore, a variety of spin mixtures, such as spin 1-spin 1/2 [15 − 22], spin 1 -spin 3/2 [23 − 25], spin 1 -spin 5/2 [26], spin 2 -spin 1/2 [15], spin 2 -spin 3/2 [27,28], spin 2 -spin 5/2 [29 − 34], spin 1/2 -spin 3/2 [15,21,35], spin 1/2 -spin 5/2 [15], spin 3/2 -spin 5/2 [17], and spin 3 -spin 3/2 [36] have been studied frequently by simulation and numerical methods. Creutz Cellular Automaton (CCA) algorithm and its improved versions are efficient to study the critical behaviors of the Ising model [36 − 40] .…”