# Phase diagrams of spin-3/2 Blume-Capel model on rectangular lattice under longitudinal magnetic field

## TL;DR

This study explores the complex phase behavior of a spin-3/2 Blume-Capel model on a rectangular lattice under magnetic field, revealing rich phase diagrams influenced by anisotropic interactions and single-ion anisotropy.

## Contribution

It provides the first mean-field analysis of the phase diagrams of the spin-3/2 Blume-Capel model with anisotropic interactions and magnetic field on a rectangular lattice.

## Key findings

- Complex phase diagrams with multiple phases.
- Influence of anisotropic interactions on phase transitions.
- Unusual abundance of phases in the global phase diagram.

## Abstract

The spin-3/2 Blume-Capel model on a rectangular lattice with the ferromagnetic bilinear short-range interaction $K^{\rm F}=K(1+x)$ in one direction and the anti-ferromagnetic one $K^{\rm AF}=K(-1+x)$ in the perpendicular direction under a longitudinal magnetic field and in the presence of a single-ion anisotropy is investigated within the mean field approximation. The quantity $x$ characterizes coupling between the interactions in the perpendicular directions and its absolute value does not exceed unity. Basing on the study of temperature dependencies of sublattice magnetizations the phase diagrams in the ($x$, temperature) plane are constructed for different values of the longitudinal magnetic field and the single-ion anisotropy. The global phase diagram of the model demonstrates an unusual abundance.