Unique phase diagrams in a graphene-like transverse Ising nanoparticle

Abstract

The phase diagrams and the magnetizations in a graphene-like two-dimensional nanoparticle described by the transverse Ising model are investigated by the use of the effective-field theory with correlations. We have found some characteristic behaviors especially for the system with a small transverse field and a small surface exchange interaction, such as the reentrant phenomena.

Exploring thermodynamic characteristics and magnetocaloric effect of an edge-decorated Ising multilayer nanoparticle with graphene-like structure

“…In recent years, the extended Ising models combined with various numerical methods have been widely used to study various graphene-like nanostructures [20,25], such as quantum dots [17,31], nanoislands [18,60], nanoribbons [19,29] multilayer graphene [21], nanoparticles [26,27], which may provide a reasonable reference for modeling an Ising-type multilayer edge-decorated nanoparticle with graphene-like structure. It is worth mentioning that intrinsic graphene does not have spontaneous magnetism, but it can exhibit magnetic properties by modifying edge [30,[37][38][39][40].…”

“…In recent years, Ising model has been applied to many theoretical studies because it can describe rich physical properties [14][15][16]. With the continuous optimization of Ising model, various mixed-spin Ising systems have been extended to elucidate the properties of graphene-like nanostructures by Monte Carlo (MC) simulation [17][18][19][20][21], mean-field theory (MFT) [22][23][24], and effective-field theory (EFT) [25][26][27][28]. B Boughazi et al studied the magnetic properties of graphene-like nanoribbons with mixed spins (5/2, 3/2) using MC method, and reported the size effect on the magnetic susceptibility of the systems [29].…”

“…In previous studies, we dedicated ourselves to explore the thermodynamic and magnetic properties of many low-dimensional nanomaterials with graphene-like structures by MC simulation [51][52][53][54][55][56][57]. To best of our knowledge, theoretically, a large number of researches on single-layer graphene-like nanostructures based on MC method have been carried out [17,21,[25][26][27]. The physical properties of the edge-decorated nanostructures are more focused on graphene-like nanoribbons by the transfer matrix method [58] and DFT [59] as well as monolayer graphene-like nanoparticles by MC method [60].…”