# Two-dimensional gas of massless Dirac fermions in graphene

@article{Novoselov2005TwodimensionalGO,
title={Two-dimensional gas of massless Dirac fermions in graphene},
author={Kostya S. Novoselov and Andre K. Geim and S. V. Morozov and Da Jiang and Mikhail I. Katsnelson and Irina V. Grigorieva and Sergey. V. Dubonos and Anatoly Firsov},
journal={Nature},
year={2005},
volume={438},
pages={197-200}
}
Quantum electrodynamics (resulting from the merger of quantum mechanics and relativity theory) has provided a clear understanding of phenomena ranging from particle physics to cosmology and from astrophysics to quantum chemistry. The ideas underlying quantum electrodynamics also influence the theory of condensed matter, but quantum relativistic effects are usually minute in the known experimental systems that can be described accurately by the non-relativistic Schrödinger equation. Here we… Expand
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#### References

SHOWING 1-10 OF 59 REFERENCES
Quantum solid-state physics
• Physics
• 1989
This book treats the major problems of the quantum physics of solids, ranging from fundamental concepts to topical issues. Rather than use a deductive method of exposition, the authors consider andExpand
Disorder effects in two-dimensional d-wave superconductors.
• Physics, Medicine
• Physical review letters
• 1994
It is shown that, in a d-wave superconductor, the density of states, averaged over randomness, follows a nontrivial power-law behavior near the Fermi energy: $\rho(\omega) \sim |\omega|^{\alpha}$. 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
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 HallExpand
Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations. II. Transport properties
• Physics
• 2005
The quantum magnetic oscillations of electrical (Shubnikov-de Haas effect) and thermal conductivities are studied for graphene which represents a distinctive example of planar systems with a linear,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 magneticExpand
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-contactExpand
Near Critical States of Random Dirac Fermions
• Physics
• 1997
Random Dirac fermions in a two-dimensional space are studied numerically. We realize them on a square lattice using the $\pi$-flux model with random hopping. The system preserves two symmetries, theExpand
Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics.
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 decompositionExpand
Localized states in a d-wave superconductor.
• Lee
• Physics, Medicine
• Physical review letters
• 1993
It is argued that even if the impurity concentration is small, the quasiparticles in the superconducting state become strongly localized for a short coherence length d-wave superconductor, which leads to thermally activated behavior for the microwave conductivity and possibly for the London penetration depth. Expand