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9 g 0 = 3 ev Linear a = 0.246nm. constant velocity g 0 ~ 3 ev 0.334nm Interlayer g 1 ~ 0.4 ev Massive Effective mass:
10 Graphene monolayer-bilayer junction Theoretical studies Nakanishi, Koshino, Ando, PRB 82, (2010) Koshino, Nakanishi, Ando PRB 82, (2010) Experiments Tsukada et al, J. Phys.: Conf. Series 334, (2011) Giannazzo et al, Phys. Rev. B 86, (2012)
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12 q e = e F e F / g 1 reflected incident transmitted - p/2 0 p/2 Incident Angle q
13 q e F / g 1 e = e F e F / g 1 reflected incident transmitted - p/2 0 p/2 Incident Angle q - p/2 0 p/2 Incident Angle q
14 - q q q
15 - q q - p/2 0 p/2 Incident Angle q - p/2 0 p/2 Incident Angle q
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17 K Valley polarization K
18 AB-BA domain in bilayer graphene J. S. Alden et al, PNAS 110, (2013) Armchair boundary BA AB Zigzag boundary AB BA
19 K K q > 0 q < 0 K K
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21 TMD (Transition metal dichalcogenides) Monolayer Inversion symmetry breaking + Spin-orbit coupling Mo, W S, Se, Te MoSe 2 spin spin Spin split Bilayer (2H phase) Inversion symmetry recovers MoSe 2 bilayer Spin-degenerate Spin degenerate K. F. Mak, et al, Nat. Nano. 7, 494 (2012), D. Xiao, et al, PRL 108, (2012).
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23 Theoretical Method i) DFT band calculation (Quantum Espresso) ii) Create tight-binding model (Wannier 90) px py pz d3z2-r2 dx2-y2 dxy dyz dzx iii) Calculate the transmission probability
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27 G
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30 e F / g 1 e F / g 1 e F / g 1 - p/2 0 p/2 - p/2 0 p/2 - p/2 0 p/2 q
fotoelektron-spektroszkópia Rakyta Péter
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