Physics

Calculation of the electrons' magnetic moment in unmodulated silicene

V. V. Karpunin

Mordovia State Pedagogical University named after M.E. Evseviev, Saransk, Russia

Abstract: Background. Recently, the magnetic properties of monolayers of various nanostructures have been extensively studied. As it is known, silicene is a single layer silicon film. Silicene is an analogue of graphene, which has a honeycomb geometric structure. The purpose of this work is to calculate the magnetic moment of electrons in unmodulated silicene. Materials and methods. The calculation of the magnetic moment is based on the thermodynamic potential $\Omega$. Knowing the energy spectrum of electrons, it is possible to calculate both the thermodynamic potential and the magnetic moment. Results. An analytical expression for the magnetic moment is obtained, its dependence on the magnetic field is analyzed. Conclusions. The results obtained make it possible to assert that this method of calculating the magnetic moment applied to a three-dimensional electron gas can also be applied to various nanostructures.

Keywords: magnetic moment, thermodynamic potential, arsenene, partition function.

UDC: 537.61

DOI: 10.21685/2072-3040-2021-4-9