Magnetic Field Effects on Charge and Current Density in Finite Monolayer Graphene

Carlos Jose Paez Gonzalez | Bio
Universidad Industrial de Santander
Jorge Hernan Quintero Orozco | Bio
Universidad Industrial de Santander
Andrés Camilo García Castro | Bio
Universidad Industrial de Santander
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Abstract

In this work, we study the effects of an external magnetic field on the charge and current density in finite monolayer graphene, i.e., with zig-zag and armchair edges. We use the tight-binding model to include the effects of the magnetic field and the effect of the edges. By using the transmission probability and analyzing the local density of states (charge density) ob- tained from Green’s function method, we find an energy region where the wave functions are more localized in the edges and, consequently, the current flow across the borders. On the other hand, for energies close to Landau levels, the charge and current density are localized on the bulk of the system.

References

Fransisco Russi (lfragar@gmail.com)
Hamilton Carrillo (hacarrillo@gmail.com )
Harold Paredes (hparedes@uis.edu.co)
How to Cite
Paez Gonzalez, C. J., Quintero Orozco, J. H., & García Castro, A. C. (2021). Magnetic Field Effects on Charge and Current Density in Finite Monolayer Graphene. Revista Ingenierías Universidad De Medellín, 20(39), 251-261. https://doi.org/10.22395/rium.v20n39a14

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