Phase Diagrams and Tricritical Behavior of Spin-2 Ising Model with a Transverse Crystal Field

The Study of the Three-Dimensional Spin-3/2 Ising Model on a Cellular Automaton

“…All these studies were done by different methods, such as mean field approximation (MFA) [1][2][3][4], renormalization group (RG) methods [5,6], the effective-field theory (EFT) [7][8][9], cluster variation method (CVM) [10][11][12] and Monte Carlo (MC) simulation [3,13]. Most of these studies have considered some portion of the phase diagram of the model.…”

Truncated forms of the second-rank orthorhombic Hamiltonians used in magnetism and electron magnetic resonance (EMR) studies are invalid—Why it went unnoticed for so long?

“…where 'D x is the transverse crystal field' [89]. The spin-1 Ising model with 'longitudinal crystal field': ÀD P i (S i z ) 2 has also been invoked in [89].…”

“…As discussed above, the terminology labeling the actual ZFS parameters as the 'crystal-field (terms or effects)' in [87][88][89][90][91][92], whereas as the 'anisotropy constant' in [93], indicates the CF ¼ ZFS and double MA ¼ CF( ¼ ZFS) confusion, respectively [21][22][23]. The latter cases consist in referring to purportedly 'CF' (in fact, actual ZFS) quantities by the names related to magnetic or magnetocrystalline anisotropy or equivalently single-ion anisotropy.…”

The Effects of the Random Transverse Crystal Field on the Spin-1 Model

“…The critical behavior and magnetic properties of the spin 3/2 BlumeEmery Griths model were investigated on a square lattice within the framework of EFT based on the use of a probability distribution technique and the eects of transverse CF on the magnetic properties were examined [10]. The ferromagnetic spin-2 Ising model with transverse CF was studied within the framework of the EFT on honeycomb, square, and cubic lattices [11]. The mixed-spin and bilayer models were also considered in the study of the transverse CF.…”