Graphene as an electronic membrane

By Eun-Ah Kim, Antonio H. Castro Neto. 2007

273 citations recorded by the source corpus.

We investigate the membrane aspect of graphene and its impact on the electronic properties. We show that rippling generates spatially varying electrochemical potential that is proportional to the square of the local curvature. This is due to the rehybridization effects and the change in the next-neighbor hopping caused by curvature. We estimate the electrochemical- potential variation associated with the rippling observed in recent scanning tunneling microscopy (STM) to be of order 30 meV. Further we show that the charge inhomogeneity in turn stabilizes ripple formation.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/1e347354bd2f667c2547a295028160fc848bafb3

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Effects of mismatch strain and substrate surface corrugation on morphology of supported monolayer graphene (2010, background): “In general, it is important to understand the quantitative nature of both the intrinsic and extrinsic corrugation in graphene because the morphology can strongly influence the physical properties of graphene, such as the electronic structures [15, 16] and thermal conductivity [17, 18].”
Charge transport in disordered graphene-based low dimensional materials (2008, methodology): “We also note that the effect of graphene plane deformation modes (known as ripples), frozen when the exfoliated layer is deposited onto an oxide layer, has been investigated by introducing an effective random gauge potential [97, 156, 157 ].”
New directions in science and technology: two-dimensional crystals (2011, background): “thus, it unifies topics in hard and soft condensed matter [16].”
Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride. (2011, background): “Reducing the surface roughness is critical for graphene devices because local curvature can lead to electronic effects such as doping[22] and random effective magnetic fields[23].”
STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride (2011, background): “Reducing the surface roughness is critical for graphene devices because local curvature can lead to electronic effects such as doping[22] and random effective magnetic fields[23].”
Two-dimensional crystals-based heterostructures: materials with tailored properties (2012, background): “It has been shown that strain generates scalar potential [22], which leads to the formation of local p–n junctions.”
Colloquium: Graphene spectroscopy (2014, background): “An alternative interpretation of the apparent nonlinearity of the Dirac spectrum of graphene on SiC invokes a substrateinduced band gap (Benfatto and Cappelluti, 2008; Kim et al., 2008; Zhou et al., 2007, 2008a,c), see Sec.”