Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

By Valery P. Gusynin, S. Sharapov. 2005

387 citations recorded by the source corpus.

The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual behavior as functions of frequency, chemical potential and applied field which is caused by the fact that the quasiparticle excitations in graphene are Dirac-like. One of the most striking effects observed in graphene is the odd integer quantum Hall effect. We argue that it is caused by the anomalous properties of the Dirac quasiparticles from the lowest Landau level. Other quantities such as Hall angle and Nernst signal also exhibit rather unusual behavior, in particular when there is an excitonic gap in the spectrum of the Dirac quasiparticle excitations.

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

View Paper: https://www.semanticscholar.org/paper/d5a1510e70dad9190b06245a6e7a8d1004052b8c

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. E. Rossi
2. E. Hwang
3. S. Adam
4. Francisco Guinea
5. D. Basov
6. Feng Wang
7. N. M. R. Peres
8. M. Goerbig

In Materials Chemistry

1. E. Rossi
2. E. Hwang
3. S. Adam
4. Francisco Guinea
5. N. M. R. Peres
6. Feng Wang
7. D. Basov
8. Alessandra Lanzara

Citations in the corpus

• Electronic transport in two-dimensional graphene (2010, background): “This has attracted considerable theoretical interest (Gusynin and Sharapov, 2006; Herbut et al., 2008; Katsnelson, 2008; Kuzmenko et al., 2008; Min and MacDonald, 2009; Mishchenko, 2007, 2009; Peres and Stauber, 2008; Peres et al., 2008; Sheehy and Schmalian, 2009; Stauber et al., 2008a), where it…”
• Colloquium: Graphene spectroscopy (2014, background): “…square-root law are seen Li et al. 9See Ludwig et al. (1994) for Dirac fermions in general and Ando et al. (2002); Falkovsky and Varlamov (2007); Gusynin and Sharapov (2006); Peres et al. (2006); Stauber et al. (2008b); and Ziegler (2007) for SLG. 10See Abergel et al. (2007); Blake et al.…”
• Electronic properties of graphene in a strong magnetic field (2010, background): “As a consequence, the signature of the RQHE is a Hall-resistance quantization at the filling factors (Gusynin and Sharapov, 2005, 2006; Peres et al., 2006) νRQHE = 2(2n+ 1), (104) which needs to be contrasted to the series (103) of the IQHE in non-relativistic 2D electron systems.”
• Electronic properties of graphene-based bilayer systems (2015, background): “The dynamic (or optical) conductivity of single-layer graphene has been extensively studied theoretically [246, 247, 248, 249, 250], and experiments have largely verified the expected behavior [251, 252, 253, 254].”