Electronic properties of disordered two-dimensional carbon
By N. M. R. Peres, Francisco Guinea, A. C. Castro Neto. 2005
1,072 citations recorded by the source corpus.
Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects of localized (impurities or vacancies) and extended (edges or grain boundaries) defects on the electronic and transport properties of graphene. On the one hand, point defects induce a finite elastic lifetime at low energies with the enhancement of the electronic density of states close to the Fermi level. Localized disorder leads to a universal, disorder independent, electrical conductivity at low temperatures, of the order of the quantum of conductance. The static conductivity increases with temperature and shows oscillations in the presence of a magnetic field. The graphene magnetic susceptibility is temperature dependent (unlike an ordinary metal) and also increases with the amount of defects. Optical transport properties are also calculated in detail. On the other hand, extended defects induce localized states near the Fermi level. In the absence of electron-hole symmetry, these states lead to a transfer of charge between the defects and the bulk, the phenomenon we call self-doping. The role of electron-electron interactions in controlling self-doping is also analyzed. We also discuss the integer and fractional quantum Hall effect in graphene, the role played by the edge states induced by a magnetic field, and their relation to the almost field independent surface states induced at boundaries. The possibility of magnetism in graphene, in the presence of short-range electron-electron interactions and disorder is also analyzed.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/3b571a0cd8742a35c9c6cd4b28951f65e306e11e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Charged Impurity Scattering in Graphene (2007, background): “ence of the conductivity σ(Vg) becomes more linear, (3) the mobility becomes larger for holes than electrons, (4) the gate voltage of minimum conductivity Vg,min shifts to more negative gate voltage, (5) the width of the minimum conductivity region in Vg broadens, and (6) the minimum conductivity σm”
- Approaching ballistic transport in suspended graphene. (2008, background): “The linear T dependence cannot be understood within existing theoretical model”
- Dirac electronic states in graphene systems: optical spectroscopy studies (2010, background): “The electronic bands obtained by the diagonalization of this Hamiltonian have a simple form of E1,2 = −E4,3 = − ( γ 21 / 2 + U 2/4 + v2F p 2 ± √ γ 41 / 4 + v2F p 2 ( γ 21 + U 2 ))1/2 .”