Magnetic properties of the mixed hexagonal nanowire system with half and integer spins: Monte Carlo simulation and mean field approximation study

•The observation of an uncommon increase of the magnetization with the temperature.•The phase diagram of the mixed spin hexagonal nanowire.•The observation of the influence of an unstable state on the stable state of the system.•The observation of a weak magnetic order in the midland chain of Ising spins.•Interpretation of Monte Carlo results through analytic calculus. Monte Carlo simulation with Metropolis algorithm was used to study the magnetic and thermodynamic properties of a mixed spin hexagonal nanowire, with spins half and integer. The phase diagram was obtained by the extrapolation to the thermodynamic limit and associated with previous analytical results. An uncommon increase in the magnetization with the temperature and a weak magnetic order in a midland chain of Ising spins is explained through the thermodynamic states of the system.