Electric-Dipole-Induced Universality for Dirac Fermions in Graphene
Alessandro De MartinoDepartment of Mathematics, City University London, London EC1V 0HB, United KingdomDenis KlöpferInstitut für Theoretische Physik, Heinrich-Heine-Universität, D-40225 Düsseldorf, GermanyD. U. MatrasulovTurin Polytechnic University in Tashkent, 17 Niyazov Street, 100095 Tashkent, UzbekistanReinhold EggerInstitut für Theoretische Physik, Heinrich-Heine-Universität, D-40225 Düsseldorf, Germany
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We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accommodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment determines the number of towers, but there is always at least one tower. The corresponding eigenstates show a characteristic angular asymmetry, observable in tunnel spectroscopy. However, charge transport properties inferred from scattering states are highly isotropic.
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