General relativity and graphene

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Topological disorder in graphene Topological defects are formed by replacing a hexagon by a n-sided polygon Pentagon: induces positive curvature Images: C. Ewels Heptagon: induces negative curvature The combination of a pentagon and an heptagon at short distances can be seen as a dislocation of the lattice. The most common defects in nanotubes are made by pentagons, heptagons, and pairs of them (Stone-Wales defects)
Observation of topological defects in graphene In situ of defect formation in single graphene layers by high-resolution TEM. Defects must be present in all graphene samples and have a strong influence on the electronic properties Vacancies Ad-atoms Edges Topological defects Nature 430 (2004)
Page 1 and 2: Evora08 General relativity and grap
Page 3 and 4: A brief history of graphene In the
Page 5 and 6: Second revolution: graphene (05) Wh
Page 7 and 8: Other interesting points of the dis
Page 9 and 10: Ripples on graphene Freely suspende
Page 11: Physical origin of the curvature
Page 15 and 16: Formation of topological defects Sq
Page 17 and 18: Dirac in curved space We can includ
Page 19 and 20: Multiple defects
Page 21 and 22: Cosmology versus condensed matter N
Page 23 and 24: Computation of observables Equation
Page 25 and 26: Averaging over disorder A. Cortijo
Page 27 and 28: Characterized by the Burgers vector
Page 29 and 30: Torsion in differential geometry Ba
Page 31 and 32: Dirac fermions in curved space with
Page 33 and 34: arXiv:0810.5121 Similar models. Fut
Page 35 and 36: Summary • Ripples occur naturally
Page 37: Conclusions General relativity and

General relativity and graphene

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