Lecture Notes on Graphene
D Ninno
July 7, 2013
Contents
Contents 1
1 Graphene 2
1.1 Electronic structure ....................... 2
1.1.1 Crystal structure .................... 2
1.1.2 Tight binding matrix .................. 3
1.1.3 Eigenvalues and eigenvectors .............. 6
1.1.4 Reciprocal lattice .................... 6
1.1.5 Band structure ..................... 7
1.1.6 Metal or semimetal ? .................. 8
1.1.7 Dirac cone ........................ 9
1.1.8 Density of states .................... 11
1.1.9 Electron density ..................... 13
1.2 Graphene light absorption ................... 15
1.2.1 The absorption coefficient ............... 15
1.2.2 Transition probability in graphene. .......... 17
1.2.3 Absorbed energy .................... 19
1.2.4 Transmitted power ................... 20
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