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We employ a self-consistent simulation approach based on quantum theory toinvestigate the physical properties of a pair of ferromagnetic andantiferromagnetic nanotubes. It was observed that under the given conditions,no matter the external magnetic field was absent or applied along the easylongitudinal axis, the spins always ordered in that direction due to thespecial geometric shape of the tubes and the magnetic uniaxial anisotropy, sothat the two sorts of nanosystems exhibit typical ferromagnetic andantiferromagnetic properties, which may find applications in modern technology,in strong contrast to the phenomena observed previously in nanoparticle, wherean external magnetic field, applied parallel to the antiferromganeticallycoupled spins, is able to turn the spins off their original direction to formsymmetric pattern around the field direction. This peculiar feature enable usto build up one-dimensional chain models for the two sorts of nanosystems.Considering their fast computational speed and simplicity, these theoreticalmodels were then utilized to investigate the finite size effects of thenanosystems, and perform further analysis for long tubes. Especially, ourresults obtained with the theoretical models and the numerical approach areexactly identical, verifying the correctness and applicability of thecomputational methodology.

A self-consistent approach to the one-dimensional chain models for the ferro- and antiferro-magnetism of nanotubes