Monte Carlo investigation of phase changes and the order of transition of Ising modeled single-walled Nanotube

TL;DR

This study uses Monte Carlo simulations to analyze phase transitions in a spin-1/2 Ising model on a single-walled nanotube, identifying transition types and critical temperatures under various conditions.

Contribution

It introduces a detailed Monte Carlo analysis of magnetic phase transitions in a nanotube modeled with the Ising framework, including different magnetic orderings and external field effects.

Findings

Transition from magnetic order to paramagnetic state identified

Second order phase transition confirmed

Critical temperatures determined for various interactions

Abstract

The Monte Carlo analysis for the magnetic response of a single-walled nanotube using the Metropolis and Wang Landau algorithms is reported in the present paper. The nanotube architecture used in the present study utilizes the spin half Ising model with nearest neighbors interaction and obtained various magnetic orderings namely, ferromagnetic, G-type anti-ferromagnetic, A-type anti-ferromagnetic, and C-type anti-ferromagnetic. It is also found that the phase changes from ferromagnetic/anti-ferromagnetic to paramagnetic with the modification of system's control parameters. The transition temperatures is determined for various interaction strength in the absence of magnetic field and for fixed interaction strength with the inclusion of external magnetic field. The present study confirms the transition from ferromagnetic /anti-ferromagnetic to paramagnetic is a second order transition.