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Abstract: We study under which general conditions a pair of Dirac points in theelectronic spectrum of a two-dimensional crystal may merge into a single one.The merging signals a topological transition between a semi-metallic phase anda band insulator. We derive a universal Hamiltonian that describes the physicalproperties of the transition, which is controlled by a single parameter, andanalyze the Landau-level spectrum in its vicinity. This merging may be observedin the organic salt alpha-BEDT-TTF 2 I 3 or in an optical lattice of coldatoms simulating deformed graphene.



Author: G. Montambaux, F. Piechon, J.-N. Fuchs, M.O. Goerbig

Source: https://arxiv.org/



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