Coulomb bare interaction in three-layer graphene

Van Men Nguyen1
1 An Giang University

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Abstract

The Coulomb bare interaction has significant contributions to important characters of charged multibody systems. This paper is to determine the analytical expressions for Coulomb interactions between electrons in a structure made up of three parallel monolayer graphene sheets, separated by different dielectric layers via solving Poisson equations. Analytical and numerical results show that Coulomb potential functions in momentum space are affected strongly by the inhomogeneity of dielectric background. Inter-layer Coulomb potentials decrease remarkably with an increase in wave vector q and separated distance d, while intra-layer ones are only weak functions of q and d, and depend on the environment around other graphene sheets.

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References

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