In this paper, we study the thermal and dielectric properties of a carbon-like nanotube structure. The ferrielectric mixed spin (1,3/2) Blume–Capel Ising model has been investigated, using Monte Carlo simulations under the Metropolis algorithm. We illustrate the thermal and dielectric properties of different physical parameters. Besides, we examine the effects of the exchange coupling interactions, the external longitudinal electric and the crystal fields on the transition temperature. It is found that the polarization decreases toward a transition temperature and undergoing the paraelectric phase, faster for low values of the external longitudinal electric field and the exchange coupling interactions. Besides, the total polarization versus the crystal field undergoes two principal transitions and exhibits a first-order and a second-order transitions.

In this study, the ground-state phase diagrams and magnetic properties of mixed spin ([Formula: see text]-1, [Formula: see text]-7/2) of the monolayer coronene-like nanostructure have been investigated using Monte Carlo simulations (MCS) in the frame of the Blume Capel model. In the first part, ground-state phase diagrams have been analyzed in order to show the more stable configurations of spins corresponding to various planes. In addition, MCS is applied to study the behavior of the compensation and blocking temperatures by varying the exchange coupling interaction values. Finally, the hysteresis cycle behaviors have been investigated for selected values of exchange coupling parameters, temperature and crystal field. The theoretical results obtained in this study can enrich the magnetic properties of nanosystems and pave the way for researchers to experimentally study monolayer coronene-like nanostructure for future applications in nanotechnology.

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Monte Carlo study under the Metropolis algorithm is performed to investigate the ground phase diagrams and hysteresis electric cycles by using the Blume-Emery-Gri ths (BEG) model with the mixed spins (S-1, σ-3/2). Firstly, the ground state phase diagram has been established to show the more stable con gurations corresponding to physical parameter E Z /J C .Moreover, the hysteresis electric cycle behaviors have been investigated by varying temperature, exchange coupling interactions, crystal eld and biquadratic parameter of the carbon-like nanotube. It is found that the increase of the crystal eld and the biquadratic exchange parameters decreases the surface of the loops leading to the apparition of the polarization plateaus.

In this work, we study the ground state phase diagrams and the magnetic properties of the mixed spins ([Formula: see text], [Formula: see text]) of the silicene–germanene junction-like nanostructure. In the first step, the ground state phase diagrams have been established to show the more stable configurations corresponding in different physical parameter planes. Besides, we have used the Monte Carlo simulations in order to study the magnetization and the susceptibility as a function of the temperature and the exchange coupling interaction and external magnetic field effects. Finally, we have presented and discussed the hysteresis cycles for specific values of the studied physical parameters.