Unconventional integer quantum Hall effect in graphene.

By Valery P. Gusynin, S. Sharapov. Physical Review Letters, 2005

1,015 citations recorded by the source corpus.

Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by (2+1)-dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity sigma(xy) = -(2e2/h)(2n+1) with n = 0, 1, ..., which notably distinguishes graphene from other materials where the integer quantum Hall effect was observed. This unconventional quantization is caused by the quantum anomaly of the n=0 Landau level and was discovered in recent experiments on ultrathin graphite films.

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

View Paper: https://www.semanticscholar.org/paper/600a4a9672b8e81f01aa2e90df56915735212e84

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

In Materials Chemistry

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

Citations in the corpus

• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction (2007, background): “Many interesting behaviors, for example, the quantum Hall effect at half-integer filling fractions, are attributed to the quasirelativistic behavior of the low energy excitations [3, 4, 5].”
• The electronic properties of graphene (2007, background): “Dirac fermions behave in very unusual ways when compared to ordinary electrons if subjected to magnetic fields, leading to new physical phenomena (Gusynin and Sharapov, 2005; Peres et al., 2006c) such as the anomalous integer quantum Hall effect (IQHE) measured experimentally (Zhang et al.”
• Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene (2006, background): “One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems [1,2], and the other is its relativistic counterpart recently observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase n, which results in a shifted positions o”
• 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.”