2009
DOI: 10.1103/physrevb.79.035421
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Electric field tuning of the band gap in graphene multilayers

Abstract: A perpendicular electric field applied to multilayers of graphene modifies the electronic structure near the K point and may induce an energy gap in the electronic spectrum. This gap is tunable by the gate voltage and its size depends on the number of layers. We use a tight-binding approach to calculate the band structure and include a self-consistent calculation in order to obtain the density of charge carriers. Results are presented for systems consisting of three and four layers of graphene. The effect of t… Show more

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Cited by 132 publications
(118 citation statements)
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“…22,23 By further increasing the layer numbers, one has graphene multilayers whose energy dispersion near the K-point can be tuned by a gate voltage. 24 Graphene exhibits strong optical response. [8][9][10][11]25 The universal conductance 0 = e 2 / 4h leads to an absorption of around 2.3%.…”
Section: Rqolqhdu Rswlfdo Vshfwuxp Ri Elod\hu Judskhqh Lq Wkh Whudkhmentioning
confidence: 99%
“…22,23 By further increasing the layer numbers, one has graphene multilayers whose energy dispersion near the K-point can be tuned by a gate voltage. 24 Graphene exhibits strong optical response. [8][9][10][11]25 The universal conductance 0 = e 2 / 4h leads to an absorption of around 2.3%.…”
Section: Rqolqhdu Rswlfdo Vshfwuxp Ri Elod\hu Judskhqh Lq Wkh Whudkhmentioning
confidence: 99%
“…14 However, a nonmonotonous evolution of the gap width with the electron density has been predicted for graphene triple and quadruple layer systems, which has been attributed to trigonal warping of the band structure. 15,16 Moreover, ab initio density-functional theory calculations have been used extensively to investigate the electronic structure of bilayer graphene and essentially confirm the behavior suggested by the tight-binding and continuum models. [17][18][19] Due to the presence of edges, graphene nanoribbons ͑GNRs͒ reveal a much richer phenomenology than 2D graphene sheets.…”
Section: Introductionmentioning
confidence: 99%
“…A great amount of effort has been devoted to open a tunable band gap in graphene and different methods have been proposed: chemical functionalization (Wang et al 2009;Bekyarova et al 2009;Sofo et al 2007;Zanella et al 2008;Choi et al 2009), doping with heteroatoms (Denis 2010;Dai et al 2009), using electric fields (Avetisyan et al 2009;Mak et al 2009) and depositing graphene on substrates like SiO 2 , SiC (Shemella and Nayak 2009;Peng and Ahuja 2008).…”
Section: Introductionmentioning
confidence: 99%