ELECTRIC FIELD EFFECT IN MONOLAYER OF GRAPHENE
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Date
2022-09-05
Authors
Salsabeel Khalel Saleh
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Abstract
Background: Graphene is a two-dimensional nanomaterial. The theory of graphene was laid out for the first time in 1947when P. R. Wallace looked at the electronic band structure of graphene. Many researchers have studied the properties of graphene in the presence of an electric field. This study has looked at the dynamics of electron in a two- dimensional monolayer graphene in the presence of a static and uniform electric field.
Three different orientations of the electric field have been considered:
E ⃗=E_x i ̂ ,E ⃗=E_y j ̂ and E ⃗=E_x i ̂+E_y j ̂ where x and y are arbitrary directions.
Methodology: The dynamical expressions for the velocity and position of an electron in an oriented- electric field have been derived from the dispersion relation. The figures in the calculations were drawn by using the Mathematica program.
Results: The electric field depended on the frequency of w_B.Because the electric field E ⃗ is implicitly related to electron momentum k_xand k_y, it was possible control it as they change. Moreover, when the applied electric field E ⃗ is in the x and y direction together the electron's behavior in the monolayer graphene is influenced by an angle α.
Conclusion: These findings showed that if an electric field E ⃗ is applied to an electron along the x axis, the electron's Bloch oscillation would disappear in the x direction but would never happen in the y direction. And the electron's movement over the Dirac points would double the amplitude and period.
Keywords: Electric field; Bloch oscillation; graphene; position; velocity.