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Electronic properties of bilayer graphene catenoid bridge

2020; Elsevier BV; Volume: 384; Issue: 25 Linguagem: Inglês

10.1016/j.physleta.2020.126458

1873-2429

J. E. G. Silva, J. Furtado, Thiago M. Santiago, A. C. A. Ramos, D. R. da Costa,

Quantum and electron transport phenomena

We study the properties of an electron on a catenoid surface. The catenoid is understood as a realization of a bridge connecting two graphene layers by a smooth surface. The curvature induces a symmetrical reflectionless potential well around the bridge with one bound-state for m=0. For m≠0, a centrifugal potential barrier arises controlling the tunnelling between the layers. An external electric field breaks the parity symmetry and provides a barrier that controls the conductance from one layer to another. By applying a constant magnetic field the effective potential exhibits a confining double-well potential nearby the bridge. We obtain the corresponding bound states and study the effects of the curvature on the Landau levels.