General relativity and graphene

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Structural properties Puzzling: • A 2D crystal is exotic enough. Mechanical: very high Young moduls (TPa). • Some TEM experiment show defects forming and disappearing (membrane?) • It has a rippled structure. 2D curvature can only be provided by topological defects. Nature Mat. 6 (2007) The most misterious aspect of graphene
Ripples on graphene Freely suspended graphene membrane is partially crumpled J. C. Meyer et al, Nature 446, 60 (2007) TEM Ripples of height 0.5 nm and 5nm of lateral size adjust best the data
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: Other interesting points of the dis
Page 11 and 12: Physical origin of the curvature
Page 13 and 14: Observation of topological defects
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

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