In this work, the magneto-charge structure factor (CSF) of hexagonal doped armchair boron-nitride nanoribbons (ABNNRs) has been addressed using the tight-binding Hamiltonian model and the Green's function technique. In particular, we study the charge static susceptibility in the presence of the Zeeman magnetic field. The calculations of the correlation function of charge densities lead to magnetic phase transitions, which are explained by the temperature-dependent magneto-CSF. We have observed different width-dependent CSF treatments in the presence and absence of magnetic field for both undoped and doped ABNNRs. Depending on the magnetic field strength, transitions from antiferromagnetic to the ferromagnetic (paramagnetic) arrangement of spins has been established for undoped (doped) ABNNRs. We have found that, furthermore, in addition to the magnetic field, the magnetic phase can be controlled by the concentration and incoming momentum of electronic dopants. These results have direct implications for the control of the dopant and magnetic field for the practical realization of boron-nitride nanoribbons-based spiritronic applications.
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