# Experimental observation of the quantum Hall effect and Berry's phase in graphene

@article{Zhang2005ExperimentalOO, title={Experimental observation of the quantum Hall effect and Berry's phase in graphene}, author={Yuanbo Zhang and Yan-Wen Tan and Horst L. Stormer and Philip Kim}, journal={Nature}, year={2005}, volume={438}, pages={201-204} }

When electrons are confined in two-dimensional materials, quantum-mechanically enhanced transport phenomena such as the quantum Hall effect can be observed. Graphene, consisting of an isolated single atomic layer of graphite, is an ideal realization of such a two-dimensional system. However, its behaviour is expected to differ markedly from the well-studied case of quantum wells in conventional semiconductor interfaces. This difference arises from the unique electronic properties of graphene… Expand

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#### References

SHOWING 1-10 OF 32 REFERENCES

Quantum spin Hall effect in graphene.

- Physics, Medicine
- Physical review letters
- 2005

Graphene is converted from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator and the spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed. Expand

Unconventional integer quantum Hall effect in graphene.

- Physics, Medicine
- Physical review letters
- 2005

It is demonstrated that monolayer graphite films have quasiparticle excitations that can be described by (2+1)-dimensional Dirac theory, which 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. Expand

Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics.

- Materials Science, Physics
- 2004

We have produced ultrathin epitaxial graphite films which show remarkable 2D electron gas (2DEG) behavior. The films, composed of typically three graphene sheets, were grown by thermal decomposition… Expand

Manifestation of Berry's Phase in Metal Physics

- Physics
- 1999

It is shown that in crystals the semiclassical quantization condition for energy levels of electrons in the magnetic field depends on Berry’s phase. When the electron orbit links to the band-contact… Expand

Hall conductivity of a two-dimensional graphite system

- Physics
- 2002

Within a self-consistent Born approximation, the Hall conductivity of a two-dimensional graphite system in the presence of a magnetic field is studied by quantum transport theory. The Hall… Expand

Coulomb oscillations and Hall effect in quasi-2D graphite quantum dots.

- Chemistry, Medicine
- Nano letters
- 2005

It is demonstrated that electrons in mesoscopic graphite pieces are delocalized over nearly the whole graphite piece down to low temperatures. Expand

Electronic properties of two-dimensional carbon

- Physics
- 2006

Abstract We present a theoretical description of the electronic properties of graphene in the presence of disorder, electron–electron interactions, and particle-hole symmetry breaking. We show that… Expand

Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly"

- Physics, Medicine
- Physical review letters
- 1988

A two-dimensional condensed-matter lattice model is presented which exhibits a nonzero quantization of the Hall conductance in the absence of an external magnetic field, and exhibits the so-called "parity anomaly" of (2+1)-dimensional field theories. Expand

Are transport anomalies in "electron waveguides" classical?

- Medicine, Physics
- Physical review letters
- 1990

We test the implicit prediction of a recent classical model that transport anomalies in ballistic multiprobe conductors—the last plateau, quenching, and the negative bend resistance—should scale with… Expand

Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations

- Physics
- 2004

The quantum magnetic oscillations are studied for planar condensed-matter systems with a linear, Dirac-like spectrum of quasiparticle excitations. We derive analytical expressions for magnetic… Expand