Electronic properties of a biased graphene bilayer

We study, within the tight-binding approximation, the electronic properties of a graphene bilayer in the presence of an external electric field applied perpendicular to the system—a biased bilayer. The effect of the perpendicular electric field is included through a parallel plate capacitor model, w...

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Detalles Bibliográficos
Autores: Castro, Eduardo V., Novoselov, Kostya S., Morozov, S. V., Peres, N. M. R., Lopes dos Santos, J. M. B., Nilsson, Johan, Guinea, Francisco, Geim, A. K., Castro Neto, A. H.
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:dnet:digitalcsic_::a2abc0388e838b674f71cd71527fc873
Acceso en línea:http://hdl.handle.net/10261/28636
Access Level:acceso abierto
Palabra clave:Condensed matter
Nanoscale science and low-D systems
Descripción
Sumario:We study, within the tight-binding approximation, the electronic properties of a graphene bilayer in the presence of an external electric field applied perpendicular to the system—a biased bilayer. The effect of the perpendicular electric field is included through a parallel plate capacitor model, with screening correction at the Hartree level. The full tight-binding description is compared with its four-band and two-band continuum approximations, and the four-band model is shown to always be a suitable approximation for the conditions realized in experiments. The model is applied to real biased bilayer devices, made out of either SiC or exfoliated graphene, and good agreement with experimental results is found, indicating that the model is capturing the key ingredients, and that a finite gap is effectively being controlled externally. Analysis of experimental results regarding the electrical noise and cyclotron resonance further suggests that the model can be seen as a good starting point for understanding the electronic properties of graphene bilayer. Also, we study the effect of electron–hole asymmetry terms, such as the second-nearest-neighbour hopping energies t' (in-plane) and γ4 (inter-layer), and the on-site energy Δ.