# Mixed spin-1/2 and 3/2 Ising model with multi-spin interactions on a decorated square lattice

## TL;DR

This paper provides an exact analysis of a complex mixed-spin Ising model on a decorated square lattice, exploring phase boundaries and thermodynamic properties with multiple interactions and anisotropy.

## Contribution

It introduces an exact solution for a mixed spin-1/2 and 3/2 Ising model with multi-spin interactions on a decorated lattice, extending previous models.

## Key findings

- Exact phase diagrams for ground and finite temperatures
- Detailed thermal behavior of magnetization and entropy
- Identification of critical points and phase transitions

## Abstract

A mixed spin-1/2 and spin-3/2 Ising model on a decorated square lattice with a nearest- neighbor interaction, next-nearest-neighbor bilinear interaction, three-site four-spin in- teraction and single-ion anisotropy is exactly investigated using a generalized decoration- iteration transformation, Callen-Suzuki identity and differential operator technique. The ground-state and finite-temperature phase boundaries are obtained by identifying all rel- evant phases corresponding to minimum internal or free energy of the system. The thermal dependencies of magnetization, correlation functions, entropy and specific heat are also calculated exactly and the most interesting cases are discussed in detail.