Armchair graphene nanoribbons: PT-symmetry breaking and exceptional points without dissipation

Abstract

We consider a single layer graphene nanoribbon with armchair edges in a longitudinally constant external potential and point out that its transport properties can be described by means of an effective non-Hermitian Hamiltonian. We show that this system has some features typical of dissipative systems, namely the presence of exceptional points and of PT-symmetry breaking, although it is not dissipative.

5 pages, 2 eps figures

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