Computer Simulation of Critical Behavior of Semi-Infinite Antiferromagnetic Material

Белим, С. В.; Trushnikova, E. V.

doi:10.1134/s0031918x18050034

Cited by 9 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Numerous theoretical techniques have been used to examine the magnetic characteristics of semi-infinite systems to explain the phenomena seen in experiments. Mean-field approximation (MFA) [10,11], Monte Carlo simulation (MCS) [12,13], renormalization group theory (RGT) [14,15], effective-field theory (EFT) [16], finite cluster approximation [17], Landau theory [18], and series expansions [19] have all been used to investigate the spin- 1 2 semi-infinite Ising model. Most of these works describe four different forms of second-order phase transitions based on the ratio R = J B /J S of bulk and surface interactions: ordinary, extraordinary, surface, and special phase transitions.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Study of a Three-Dimensional Semi-infinite Spin-1/2 System Limited by a Spin-1 Surface

Elgarraoui,

El Kihel,

Monkade

et al. 2024

Acta Phys. Pol. A

View full text Add to dashboard Cite

We investigated a three-dimensional semi-infinite spin-1/2 system bounded by a spin-1 surface using a Monte Carlo simulation based on the Metropolis algorithm. The exchange interactions and crystal field effects on phase diagrams, magnetizations, and susceptibilities were investigated. The phase diagrams in three planes were presented due to the competition between specific system parameters. The system demonstrated ordinary, extraordinary, surface, and special second-order phase transitions, as well as a surface first-order phase transition. Furthermore, tricritical and critical end-points were discovered.

show abstract