Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 27: Graphene: Theory (jointly with HL, O)

TT 27.6: Talk

Monday, March 16, 2015, 16:15–16:30, ER 164

Is deformed graphene described by the Dirac-Weyl equation on a curved space-time? — •Fabian Rost, Sam Shallcross, and Oleg Pankratov — Theoretische Festkörperphysik, Universität Erlangen-Nürnberg, Staudtstr. 7B2, 91058 Erlangen

It is well known that, at low energies, the quasiparticles of graphene are described by the wave equation of massless neutrinos: the Dirac-Weyl equation. Less well understood is whether the elastically deformed graphene can be described as the DW equation on a curved space-time as suggested in [1]. To answer this question we consider both a space-time description, and a low energy treatment derived from the tight-binding model, and compare them term by term in an expansion in the deformation tensor. We find that the low energy theory contains an infinite class of deformation-dependent terms that are absent in the space-time approach. Yet all terms present in the curved-space approach can be found in the low energy theory which follows from the tight-binding model.

[1] F. de Juan, A. Cortijo, and M.A.H. Vozmediano, Phys. Rev. B 76, 165409, 2007.