Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 58: Transport: Poster Session

TT 58.41: Poster

Mittwoch, 9. März 2016, 15:00–18:30, Poster D

Current flow paths in deformed graphene: pseudo-magnetic field vs curvature — •Nikodem Szpak¹ and Thomas Stegmann^1,2 — ¹Fakultät für Physik, Universität Duisburg-Essen, Duisburg — ²nstituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Cuernavaca

We compare two fundamentally different approaches to the electronic transport in deformed graphene: a) current flow paths obtained with the non-equillibrium Green's function (NEGF) method from the tightbinding model with local strain, b) classical trajectories for relativistic point particles moving in a curved surface with pseudo-magnetic field. The connection between them is established in the long-wave limit via an effective Dirac Hamiltonian in curved space. Geometrical optics approximation applied to focused current beams allows to directly compare the wave and the particle pictures. We obtain very good numerical agreement between the quantum and the semiclassical approaches for a fairly wide set of parameters. We propose a new mechanism of geometric lensing of currents which can find applications in nanoelectronics.