# Magnetic properties of the multi-walled nanotubes constituted by localized magnetic moments: spin-1/2 case

## TL;DR

This paper investigates the magnetic properties of multi-walled nanotubes with localized magnetic moments using an effective field theory approach, revealing phase diagrams, order parameter behavior, and hysteresis loops for spin-1/2 systems.

## Contribution

It applies an effective field theory to analyze the magnetic behavior of multi-walled nanotubes with localized spins, providing new insights into their phase transitions and hysteresis characteristics.

## Key findings

- Phase diagrams of the nanotubes are mapped out.
- Behavior of the order parameter under various conditions is characterized.
- Hysteresis loops are analyzed for the spin-1/2 nanotube system.

## Abstract

Magnetic properties of the multi-walled nanotubes have been investigated. Heisenberg model, which is a suitable model for the system consist of atoms with localized wave functions has been used. Effective field theory in two spin cluster for spin-1/2 has been numerically solved and critical properties such as phase diagrams as well as the behavior of the order parameter and hysteresis loops obtained.