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Öğe Nanosized Monolayer on Square Lattice within Spin-1 Ising Model: Hysteretic Properties with Odd Interactions(Polish Acad Sciences Inst Physics, 2021) Özüm, Songül; Kavlak, Ramazan; Erdem, Rıza; Yalçın, OrhanThe hysteretic properties of a nanosized monolayer on the square lattice have been studied based on the spin-1 Ising model, including a single-ion anisotropy (D) and dipolar-quadrupolar (or odd, L) interaction parameters using the pair approximation. The nanosized monolayer is divided into the core, core-surface, and surface parts as introduced in J. Mugn. Magn. Mater. 373, 217 (2015). The dipolar (or magnetization M) and quadrupolar (Q) order parameters are calculated. We have investigated M vs. magnetic field H behaviors for different values of L, temperatures T, and monolayer sizes R. We also observed Q-D, M-D and Q-H hysteresis loops. These results are discussed in relation to other theoretical findings.Öğe Nanosized monolayer on the square lattice within spin-1 ising Model: Hysteretic properties with odd interactions(L.N. Gumilyov Eurasian National University, 2020) Kavlak, Ramazan; Özüm, Songül; Erdem, Rıza; Yalçın, OrhanWe propose a theoretical framework for the investigation of M-H and Q-D hysteresis loops for the nanosized monolayer on the square lattice within spin-1 Ising model Hamiltonian with dipolar (J), quadrupolar (K), dipolar-quadrupolar (odd, L) interactions and single-ion anisotropy parameter (D) in pair approximation. We observed that the shift of these loops depends on K, D, temperature (T) and monolayer size (R). These are also discussed in relation with the experimental and theoretical findings.Öğe Nanosized Monolayer on the Square Lattice within Spin-1 Ising Model: Magnetic Properties with odd Interactions(2020) Kavlak, Ramazan; Özüm, Songül; Erdem, Rıza; Yalçın, OrhanBased on the spin-1 Ising model Hamiltonian with dipolar (bilinear, J), quadrupolar, (biquadratic, K), dipolar-quadrupolar (odd, L) interactions and single-ion anisotropy parameter (D), magnetic properties of the nanosized monolayer within the square lattice are studied in pair approximation [1-3]. The monolayer is divided into the core (C), coresurface (CS) and surface (S) parts as introduced by Özüm and co-workers [4]. The dipolar order parameter (or magnetization m) and quadrupolar order parameter (q) are calculated. We have investigated the thermal behaviours of m and q for different values of magnetic field (H), monolayer sizes (R) and L. The results of numerical calculations are in agreement with the available theoretical works.