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Abstract: We analyze the single particle states at the edges of disordered graphenequantum dots. We show that generic graphene quantum dots support a number ofedge states proportional to circumference of the dot over the lattice constant.Our analytical theory agrees well with numerical simulations. Perturbationsbreaking electron-hole symmetry like next-nearest neighbor hopping or edgeimpurities shift the edge states away from zero energy but do not change theirtotal amount. We discuss the possibility of detecting the edge states in anantidot array and provide an upper bound on the magnetic moment of a graphenedot.



Author: M. Wimmer, A. R. Akhmerov, F. Guinea

Source: https://arxiv.org/



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