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• W2509679639 endingPage "068105" @default.
• W2509679639 startingPage "068105" @default.
• W2509679639 abstract "In graphene, conductance electrons behave as massless relativistic particles and obey an analogue of the Dirac equation in two dimensions with a chiral nature. For this reason, the bounding of electrons in graphene in the form of geometries of quantum dots is impossible. In gapless graphene, due to its unique electronic band structure, there is a minimal conductivity at Dirac points, that is, in the limit of zero doping. This creates a problem for using such a highly motivated new material in electronic devices. One of the ways to overcome this problem is the creation of a band gap in the graphene band structure, which is made by inversion symmetry breaking (symmetry of sublattices). We investigate the confined states of the massless Dirac fermions in an impured graphene by the short-range perturbations for local chemical potential and local gap. The calculated energy spectrum exhibits quite different features with and without the perturbations. A characteristic equation for bound states (BSs) has been obtained. It is surprisingly found that the relation between the radial functions of sublattices wave functions, i.e., , , and , , can be established by SO(2) group." @default.
• W2509679639 created "2016-09-16" @default.
• W2509679639 creator A5018727439 @default.
• W2509679639 creator A5024499804 @default.
• W2509679639 date "2016-06-01" @default.
• W2509679639 modified "2023-09-26" @default.
• W2509679639 title "Bound states of Dirac fermions in monolayer gapped graphene in the presence of local perturbations" @default.
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• W2509679639 doi "https://doi.org/10.1088/1674-1056/25/6/068105" @default.
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