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

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Carlos Jose Paez Gonzalez
Jorge Hernan Quintero Orozco
https://orcid.org/0000-0002-9394-4515
Andrés Camilo García Castro

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.


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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References

Fransisco Russi (lfragar@gmail.com)
Hamilton Carrillo (hacarrillo@gmail.com )
Harold Paredes (hparedes@uis.edu.co)
Author Biographies

Carlos Jose Paez Gonzalez, Universidad Industrial de Santander

PhD in Physics, Professor,School of Physics, ficomaco Research Group, Universidad Industrial de Santander, Carrera 27 Calle 9, 680002, Bucaramanga, Colombia.

Jorge Hernan Quintero Orozco, Universidad Industrial de Santander

PhD in Physics. Professor, School of Physics, cimbios Research Group, Universidad Industrial de Santander, Carrera 27 Calle 9, 680002, Bucaramanga, Colombia.

Andrés Camilo García Castro, Universidad Industrial de Santander

PhD in Physics. Professor, School of Physics, cimbios Research Group, Universidad Industrial de Santander, Carrera 27 Calle 9, 680002, Bucaramanga, Colombia.

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