The electronic properties of graphene
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Cites background from "The electronic properties of graphe..."
...Furthermore, the review by Castro Neto (Castro Neto et al., 2009) was concerned with general theoretical issues of electrons in graphene....
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760 citations
Cites methods from "The electronic properties of graphe..."
...032 nm are calibrated to fit the interlayer couplings in bilayer graphene[6]....
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...Due to its hexagonal lattice structure with a diatomic unit cell, graphene has low-energy electronic properties that are governed by the massless Dirac equation [6]....
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Cites background from "The electronic properties of graphe..."
...…to the conductivity are positive (at least if we neglect the intervalley scattering and the effect of trigonal warping) (McCann et al., 2006; Castro Neto et al., 2009), resulting in weak antilocalization which has indeed been observed experimentally (Morozov et al., 2006; Tikhonenko et al., 2008)....
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...One could also use bilayer graphene, as a gap can be opened by applying a potential difference between the two layers (Ohta et al., 2006; Castro et al., 2007; Oostinga et al., 2007; Kuzmenko et al., 2009a, 2009b; Zhang et al., 2009; Castro et al., 2010)....
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...The absence of backscattering, which leads to the Klein paradox, also ensures that quantum (interference) corrections to the conductivity are positive (at least if we neglect the intervalley scattering and the effect of trigonal warping) (McCann et al., 2006; Castro Neto et al., 2009), resulting in weak antilocalization which has indeed been observed experimentally (Morozov et al., 2006; Tikhonenko et al., 2008)....
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...The latter is a zero-overlap semimetal, with linear dispersion relations whenever the bands are parabolic in bilayer graphene, and a gap can be opened in the spectrum if the symmetry between the layers is broken (say by applying electric field between the layers) (McCann, 2006; Ohta et al., 2006; Castro et al., 2007; Oostinga et al., 2007)....
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...Although the role of different scattering mechanisms is still debated (Ando and Nakanishi, 1998; Ando, 2006; Cheianov and Fal’ko, 2006b; Nomura and MacDonald, 2006; Ostrovsky et al., 2006; Peres et al., 2006; Adam et al., 2007; Nomura and MacDonald, 2007; Stauber et al., 2007; Chen et al., 2008; Katsnelson and Geim, 2008; Morozov et al., 2008; Ponomarenko et al., 2009; Ni et al., 2010), the careful elimination of Coulomb and resonant scatterers, as well as ripples, has allowed the achievement of mobilities of over 106 cm2=V s at low temperatures (Castro et al.) in freestanding devices (Bolotin et al., 2008; Du et al., 2008), and offers hope that values above 105 cm2=V s can be achieved even at ambient temperatures (Dean et al., 2010)....
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References
55,532 citations
"The electronic properties of graphe..." refers background in this paper
...Be ause the DC magnetotransport properties ofgraphene are normally measured with the possibilityof tuning its ele troni density by a gate potential(Novoselov et al., 2004), it is important to ompute the ondu tivity kernel, sin e this has dire t experimentalrelevan e....
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...The same polarizability describes the screening of an external field perpendicular to the layers, like the one induced by a gate in electrically doped systems (Novoselov et al., 2004)....
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...Because the DC magnetotransport properties of graphene are normally measured with the possibility of tuning its electronic density by a gate potential (Novoselov et al., 2004), it is important to compute the conductivity kernel, since this has direct experimental relevance....
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...…studies of graphene sta ks have showed that, within reasing number of layers, the system be omes in reas-ingly metalli ( on entration of harge arriers at zero en-ergy gradually in reases), and there appear several typesof ele tron-and-hole-like arries (Morozov et al., 2005;Novoselov et al., 2004)....
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...The same polarizabilitydes ribes the s reening of an external eld perpendi ularto the layers, like the one indu ed by a gate in ele tri- ally doped systems (Novoselov et al., 2004)....
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35,293 citations
"The electronic properties of graphe..." refers background in this paper
...As the current status of the experiment and potential applications have recently been reviewed (Geim and Novoselov, 2007), in this article we mostly concentrate on the theory and more technical aspects of electronic properties of this exciting new material....
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...As the urrent status of the experimentand potential appli ations have re ently been reviewed(Geim and Novoselov, 2007), in this arti le we mostly on entrate on the theory and more te hni al aspe ts ofele troni properties of this ex iting new material....
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...It has also been suggested that Coulomb intera tionsare onsiderably enhan ed in smaller geometries, su has graphene quantum dots (Milton Pereira Junior et al.,2007), leading to unusual Coulomb blo kade e e ts 4(Geim and Novoselov, 2007) and perhaps to magneti phenomena su h as the Kondo e e t....
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...…most versatile systems in ondensedmatter resear h.Besides the unusual basi properties, graphene hasthe potential for a large number of appli ations(Geim and Novoselov, 2007), from hemi al sensors(Chen et al., 2007 ; S hedin et al., 2007) to transistors(Nilsson et al., 2007b; Oostinga et al.,…...
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...Besides the unusual basic properties, graphene has the potential for a large number of applications (Geim and Novoselov, 2007), from chemical sensors (Chen et al....
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"The electronic properties of graphe..." refers background or methods in this paper
...This amazing re-sult has been observed experimentally (Novoselov et al.,2005a; Zhang et al., 2005) as shown in Fig.20....
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...Adapted from(Novoselov et al., 2005a)....
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...Adapted from (Novoselov et al.,2005a).and hen e σxy,inc. = I/VH = ±4Ne2/h, whi h is thenaive expe tation....
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...The period of os illations ∆n = 4B/Φ0,where B is the applied eld and Φ0 is the ux quantum(Novoselov et al., 2005a).or equivalently: (Oσ+ + O†σ−)φ = (2E/ωc)φ , (100)where σ± = σx ± iσy, and we have de ned the dimen-sionless length s ale: ξ = y ℓB − ℓBk , (101)and 1D harmoni os illator operators: O =…...
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...…invery unusual ways when ompared to ordinary ele tronsif subje ted to magneti elds, leading to new physi alphenomena (Gusynin and Sharapov, 2005; Peres et al.,2006 ) su h as the anomalous integer quantum Hall ef-fe t (IQHE) measured experimentally (Novoselov et al.,2005a; Zhang et al., 2005)....
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