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We devise a supersymmetry-based method for the construction of zero-energystates in graphene. Our method is applied to a two-dimensional massless Diracequation with a hyperbolic scalar potential. We determine supersymmetricpartners of our initial system and derive a reality condition for thetransformed potential. The Dirac potentials generated by our method can be usedto approximate interactions that are experimentally realizable.

Construction of zero energy states in graphene through the supersymmetry formalism