Monte Carlo Investigation of Ising Nanotubes and Nanostrips

TL;DR

This study uses Monte Carlo simulations to analyze the magnetic phase transition behavior in Ising nanotubes and nanostrips, revealing that small-diameter structures do not exhibit a finite critical temperature.

Contribution

It provides a detailed Monte Carlo analysis of the temperature-dependent magnetization in nanotubes and nanostrips with varying diameters, highlighting the absence of a finite critical temperature for small diameters.

Findings

Critical temperature determined using Binder Cumulant method.

Critical temperature is zero for small diameters (D < D*).

Finite critical temperature observed for larger diameters.

Abstract

Monte Carlo simulations of the magnetization temperature dependence in $D\times L$ nanotubes (periodic lateral boundary conditions) and nanostrips (free lateral boundary conditions) with $D$=8, 16, 32, 64$\ll L\longrightarrow 5000$ have been performed. The apparent critical temperature was determinated using the Binder Cumulant method (crossing of data for $D\times L$ with data for $D\times 2L)$ and it was found to be $ T_{C}=0 $ for small $D$ values $(D<D^{\ast})$, as it might have been expected.