SKM 2023 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 16: Poster: Transport

TT 16.15: Poster

Montag, 27. März 2023, 15:00–18:00, P2/OG4

Description of defective graphene by means of the Dirac equation coupled to curvature and torsion — •Enkeleta Berisha and Nikodem Szpak — Fakultät für Physik, Universität Duisburg-Essen, Duisburg, Germany

The continuum theory of lattice defects (dislocations and disclinations) offers a practical description of the electron transport at the mesoscale at which the microscopic (ab initio) models become too complex. It can be linked to the geometrical concepts of curvature and torsion whithin the Riemann-Cartan geometry. In General Relativity there is an ongoing discussion about the equivalence of these two objects. In solid state physics both objects have concrete interpretations in terms of disclinations and dislocations. The application to a two-dimensional system can shed new light on this problem. We focus on graphene whose electron dynamics is described by the Dirac equation which exhibits such defects. This leads to the coupling of the effective Dirac equation to curvature and torsion, thus opening the possibility of mapping these objects onto each other. We study particular lattice configurations and interpret them in terms of curvature or torsion. Moreover, we compare the quantum current flows with the semiclassical trajectories in the effective Riemann-Cartan geometry.