Dresden 2009 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 26: Transport: Graphene and Carbon Nanotubes
TT 26.7: Vortrag
Mittwoch, 25. März 2009, 16:00–16:15, HSZ 03
A theory of ballistic transport in disordered graphene — •Alexander Schuessler1, Pavel Ostrovsky1, Igor Gornyi1, and Alexander Mirlin1,2 — 1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany — 2Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
We develop an analytic theory of ballistic electron transport in disordered graphene in a "short-and-wide" geometry [1]. Considering a sample of a large width W, we analyze the evolution of the conductance, the shot noise, and the full statistics of the charge transfer with increasing length L, both at the Dirac point and at a finite gate voltage. The transfer matrix approach combined with the disorder perturbation theory and the renormalization group is used. We also discuss the crossover to the diffusive regime and construct a “phase diagram” of various transport regimes in graphene. Our analytical results are in agreement with experimental observations [2,3].
[1] A. Schuessler et al., arXiv: 0809.3782.
[2] R. Danneau et al., Phys. Rev. Lett. 100, 196802 (2008).
[3] L. DiCarlo et al., Phys. Rev. Lett. 100, 156801 (2008).