Charge inhomogeneities due to smooth ripples in graphene sheets
By Fernado de Juan, Alberto Cortijo, M. Vozmediano. 2007
168 citations recorded by the source corpus.
We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the curved surface. Curved regions modify the Fermi velocity that becomes a function of the point on the graphene surface and induce energy dependent oscillations in the local density of states around the position of the bump. The corrections are estimated to be of a few percent of the flat density at the typical energies explored in local probes such as scanning tunnel microscopy that should be able to observe the predicted correlation of the morphology with the electronics. We discuss the connection of the present work with the recent observation of charge anisotropy in graphene and propose that it can be used as an experimental test of the curvature effects.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/82b41d71947417c0c7191adcde001196d1f9988f
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Citations in the corpus
- Novel effects of strains in graphene and other two dimensional materials (2015, background): “This term, together with H4, has been predicted to arise within the geometric modelling of graphene based on techniques of quantum field theory in curved space [73].”
- Colloquium: The transport properties of graphene: An introduction (2010, background): “As we see below, strain can be modeled by a fictitious gauge field (de Juan et al., 2007), which can then act as an effective magnetic field.”
- Electronic transport in two-dimensional graphene (2010, background): “A local variation of the height profile h(r) can induce a local change of the carrier density through different mechanisms. de Juan et al. (2007) considered the change in carrier density due to a local variation of the Fermi velocity due to the rippling and found that assuming h(r) = Aexp−|r| 2/b2…”
- Dirac charge dynamics in graphene by infrared spectroscopy (2008, background): “ increases as shown by the shaded region weighted around the πe2/2h value. However, recent IR studies of graphene revealed a constant conductivity σ1(ω, VCN) =πe 2/2h between 2400 and 24000 cm-1 (Ref.[9] and Mak, K.F. & Heinz, T. 2008 APS March Meeting, Abstract: L29.00006, unpublished). The uni”
- The electronic properties of graphene (2007, methodology): “The resulting ele -troni stru ture an be analyzed using the theory of quan-tum me hani s in urved spa e (Birrell and Davies, 1982;Cortijo and Vozmediano, 2007a,b; de Juan et al., 2007).”