Electronic and optical properties of graphene- and graphane ... - MIFP

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Excitons in 2D systems • Exciton size and/or binding energies are heavily influenced by confinement • In particular, screening is hindered and binding energies are consequently very large • Rough estimate of the binding energy and excitonic radius for the lowest bound exciton through a simplified model similar to a 2D hydrogenic model of the excitons
With the two limits: 2D Screened Coulomb potential For vanishing sheet thickness, the screened Coulomb potential is r = in-plane radius W e 2 � � �r� � � �H � � � � � � � � � 0 N0 � 4a 2D � � 2�a 2D � � 2�a 2D �� r � � H 0 = Struve function N 0 = Neumann function 2D electronic polarizability: � � 2 e W �r � � � for 2�a2 D �� r 2D hydrogen atom r 2 e � � r � � � � � � � 2 2�a 2D � � 4�a 2D � � �r� ln� � � 0. 5772 for 2�a �� r W D r �� a 2D � L ��0 �1�� 4� L = distance between sheets Log e-h attraction
Page 1 and 2: Electronic and optical properties o
Page 3 and 4: c Theoretical tools: ab-initio meth
Page 5 and 6: Quasiparticle equation � � iGW
Page 7 and 8: hn GW BSE Bethe Salpeter equation c
Page 9 and 10: Graphene and graphane-like 2D SiC l
Page 11 and 12: Quasiparticle band structures SiC S
Page 13 and 14: SiC:H band edge density of states T
Page 15 and 16: SiC:H - Electrostatic potential Two
Page 17 and 18: Optical properties (RPA) SiC SiC:H
Page 19 and 20: 2D SiC: first exciton in k-space Ho
Page 21 and 22: 2D SiC:H: first exciton in k-space
Page 23: Bound excitons in 2D hydrogenated C
Page 27 and 28: Log e-h attraction 2D Screened Coul
Page 29: Conclusions and outlook • 2D-base

Electronic and optical properties of graphene- and graphane ... - MIFP

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