# Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Land\'e g-factors

## TL;DR

This paper explores how external magnetic fields and varying Landé g-factors affect the magnetic phases and thermodynamic properties of a spin-1/2 Ising-Heisenberg Cairo pentagonal model, revealing complex magnetization and heat capacity behaviors.

## Contribution

It introduces the effects of external magnetic fields and different g-factors on the Cairo pentagonal model, extending previous zero-field studies with detailed thermodynamic analysis.

## Key findings

- Identification of intermediate magnetization plateaux.
- Observation of double-peak structure in specific heat.
- Impact of g-factors on thermodynamic properties.

## Abstract

In the present paper, a study of the magnetic properties of a spin-1/2 Ising-Heisenberg Cairo pentagonal structure is presented. The model has been investigated in Ref. [34] in the absence of external magnetic field. Here, we consider the effects of an external tunable magnetic field. By using the transfer matrix approach, we investigate the magnetic ground-state phase transition, the low-temperature magnetization process, and how the magnetic field influences the various thermodynamic parameters such as entropy, internal energy and specific heat. It is shown that the model exhibits intermediate magnetization plateaux accompanied by a double-peak in the specific heat curve versus temperature. The position of each magnetization jump is in accordance with the merging and/or separation of the two peaks in the specific heat curve. Considering different g-factors for the nodal Ising spins and spin dimers also results in arising different intermediate plateaux and to remarkable alterations of the thermodynamic properties of the model.