General relativity and graphene

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Coming from substrate Modeling smooth ripples F. de Juan, A. Cortijo, MAHV PRB76, 165409 (2007). zr A b 2 2 () = exp ( −r/ ) LDOS vs. curvature <strong>and</strong> shape The correction to the LDOS follows the curvature of the bump <strong>and</strong> has a maximum at the inflection point Correction to the LDOS v () r r = 1 1 + z '( r) 2
Characterized by the Burgers vector b Dislocations in crystals 3D Crystal structure Edge dislocation r b ⊥ r t Screw dislocation r b r || t 2D
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 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: Averaging over disorder A. Cortijo
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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