Dresden 2011 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Graphene II (organised by TT)
DY 9.13: Talk
Monday, March 14, 2011, 17:30–17:45, HSZ 304
Edge effects on correlations in quasiparticle spectra of graphene billiards — •Jürgen Wurm1, Klaus Richter1, and Inanç Adagideli2 — 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg — 2Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli - Tuzla, 34956, Turkey
In this work, we study the energy spectrum of quasiparticles in chaotic billiards realized in nanostructured graphene. In particular, we focus on the different types of edges and show how they effect correlations in the spectrum. Previously we have investigated the effects of edges on the transport and spectral properties of graphene quantum dots, as well as on the conductance of graphene nanoribbons numerically [1,2]. Some edges can lead to effective time reversal symmetry breaking, others are effective intervalley scatterers. Here we describe the quasiparticle dynamics in graphene analytically using the effective 2D Dirac Hamiltonian and imposing appropriate boundary conditions that depend on the specific structure of the graphene edges. Starting from the multiple reflection expansion for the exact Green function, we develop a semiclassical theory for graphene and derive a trace formula for the oscillating part of the density of states. We then focus on correlations in the spectrum investigating the spectral form factor and its dependence on the edge structure of the graphene billiard.
J.Wurm, A.Rycerz, I.Adagideli, M.Wimmer, K.Richter and H.U.Baranger. Phys. Rev. Lett. 102, 056806 (2009)
J.Wurm, M.Wimmer, I.Adagideli, K.Richter and H.U.Baranger. New J. Phys. 11, 095022 (2009)