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Physical Properties of Graphene

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Physical Properties of Graphene ( physical-properties-graphene )

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40 Electronic Band Structure of Graphene (a) ky (b) 3 2 1 K’ΓK K’ 0.4 qy 0.2 1.5eV 1eV 2eV -3 -2 -1 1 2 3 kx -0.4 -0.2 0.2 0.4 q x -1 -2 -3 -0.2 -0.4 Figure 2.4: Contours of constant (positive) energy in the wave-vector space. (a) Contours obtained from the full dispersion relation (2.22). The dashed line corresponds to the energy t+tnnn, which separates closed orbits around the K and K′ points (black lines, with energy ǫ < t + tnnn) from those around the Γ point (gray line, with energy ǫ < t + tnnn). (b) Comparison of the contours at energy ǫ = 1 eV, 1.5 eV, and 2 eV around the K′ point. The black lines correspond to the energies calculated from the full dispersion relation (2.22) and the gray ones to those calculated to second order within the continuum limit (2.44).

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