Dynamic phase transitions and dynamic phase diagrams of the Ising model on the Shastry-Sutherland lattice

Non-equilibrium magnetic properties of a mixed spin (1/2, 1) Ising graphene nanoisland

“…65 Furthermore, two consecutive transitions have been theoretically identified in the magnetic properties of various Ising systems using different methods. 47–50,54,66…”

“…The model changes a 1/ τ transition rate per unit of time by solving the DMFE based on the Glauber process. The derivation of the DMFE was exhaustively described and proven in earlier studies, 46–51 hence a short summary is just reported here. If the S spins remain fixed for a moment, the probability P A ( σ 1 , σ 2 , …, σ N ; t ) of the σ -spin configuration σ 1 , σ 2 , …, σ N are identified.…”

“…60 Then a great deal of studies concerning the dynamic phase transitions of various types of single spin magnetic systems have been carried out using MFA. 48,49,61 By using the same methodology and lattice geometry, Glauber dynamics has been applied to mixed-spin systems in monolayers 50 and in bilayers. 54 The obtained results show that apart from their relevance to the description of ferrimagnetic materials, mixed-spin and layered-structure models are interesting from a purely theoretical point of view, being among the simplest models to exhibit tricritical behavior.…”

“…Hence the critical importance of the study on the non-equilibrium or dynamic magnetic behavior represents an excellent basis for a deep understanding of various phenomena going beyond the standard equilibrium case. The non-equilibrium or dynamic magnetic behavior of various magnetic systems has been investigated extensively by different types of techniques such as MCS, [43][44][45] MFA, [46][47][48][49][50][51] EFT, [52][53][54] real space renormalization group (RG) technique 55 and Bethe lattice. 56,57 Apparently, we have found only two simulation studies for the dynamic behavior of nanoislands in the literature.…”

Nonequilibrium magnetic properties of the Sr2FeMoO6 type double perovskite structure

“…An imprescriptibly competition between the relaxation time scales of the system and oscillating frequency and time period of the applied magnetic field generates the DPTs. The topic of DPTs on various magnetic systems has been one of the most studied areas in recent years because of its impressive features, and has been investigated by a different type of techniques such as MFA [30][31][32][33], MC simulations [34,35], EFT [36,37], real space RG technique [38] and the recursion relation on the Bethe lattice [39]. Experimental observations have been also used to describe these exciting properties of the DPTs [40][41][42][43] in addition to abovementioned theoretical studies.…”