  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.
