Electron transport in disordered graphene

By P. Ostrovsky, I. Gornyi, A. Mirlin. 2006

309 citations recorded by the source corpus.

We study the electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder. We show that the transport properties of the system depend strongly on the character of disorder. Away from half filling, the concentration dependence of conductivity is linear in the case of strong scatterers, in line with recent experimental observations, and logarithmic for weak scatterers. At half filling the conductivity is of the order of ${e}^{2}∕h$ if the randomness preserves one of the chiral symmetries of the clean Hamiltonian, whereas for generic disorder the conductivity is strongly affected by localization effects.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/044189d5e26b0d831f31873da29231b28adfcafb

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

1. N. M. R. Peres
2. K. Novoselov
3. E. Rossi
4. E. Hwang
5. S. Adam
6. Francisco Guinea
7. A.K. Geim
8. A. C. Castro Neto

In Materials Chemistry

1. N. M. R. Peres
2. K. Novoselov
3. E. Hwang
4. E. Rossi
5. S. Adam
6. Francisco Guinea
7. A. C. Castro Neto
8. A.K. Geim

Citations in the corpus

• Nobel Lecture: Graphene: Materials in the Flatland (2011, background): “This guarantees the absence of localization (Ostrovsky et al., 2006; Bardarson et al., 2007) and finite minimum conductivity (Geim and Rev. Mod.”
• Observation of electron–hole puddles in graphene using a scanning single-electron transistor (2007, background): “ies at the Dirac point where the density of states vanishes. Although transport measurements at high carrier densities indicate rather high mobilities [4, 5, 6], many questions pertaining to disorder [7, 8, 9, 10, 11, 12, 13, 14] remain unanswered. In particular, it has been argued theoretically, th”
• Anderson Transitions (2007, background): “(6.75) A complete set of one-loop perturbative RG equations for nine disorder amplitudes has the form (Ostrovsky et al., 2006) dα0 d lnL = 2α0(α0 + β0 + γ0 + α⊥ + β⊥ + γ⊥ + αz + βz + γz)2α⊥αz + β⊥βz + 2γ⊥γz ; dα⊥ d lnL = 2(2α0αz + β0βz + 2γ0γz); dαz d lnL = −2αz(α0 + β0 + γ0 − α⊥ − β⊥ − γ⊥ + αz +…”
• The electronic properties of graphene (2007, background): “This result is valid when intervalley s attering is ne-gle ted (Ostrovsky et al., 2006, 2007; Ryu et al., 2007).”
• Colloquium: The transport properties of graphene: An introduction (2010, methodology): “This model can be seen in the worst case scenario as zero order description of the effect of impurities in graphene, although it has recently been used widely (Ando and Nakanishi, 1998; Ostrovsky et al., 2006, 2007; Peres et al., 2006; Suzuura and Ando, 2002; Zheng and Ando, 2002).”
• Electronic transport in two-dimensional graphene (2010, methodology): “We note that many of the results in this section can be also obtained using field-theoretic methods (Fradkin, 1986; Ludwig et al., 1994; Altland, 2006; Ostrovsky et al., 2006; Ryu, Mudry, Obuse, and Furusaki, 2007; Fritz et al., 2008; Schuessler et al., 2009).”