Heat capacity analysis of armchair nano-ribbons in magnetic fields

Abstract

Background: Thermodynamic properties of graphene-based armchair nano-ribbons and their magnetic susceptibility were studied in this research. Methodology: This research is applied in terms of its type and cognitive in terms of approach. To this end, a Hamiltonian tight-binding model was used to describe the dynamic of electrons in the device. Energy bands of the sample obtained by Hamiltonian diagonalization. The density of energy states has obtained by using these energy bands.Findings: Magnetic susceptibility and heat capacity were obtained by using energy integration on states' density function and Dirac function. The numerical results of heat capacity and magnetic susceptibility were obtained in different temperatures, gaps, chemical potentials, and widths. Conclusion: It is concluded that the heat capacity and state density of armchair nano-ribbon is influenced by the width of ribbons, chemical potential, and energy gap. Any change in the energy gap, chemical potential, and the width of the ribbon will lead to a significant change in the density of states and the heat capacity of the armchair nano-ribbon.