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Journal ArticleDOI

Condensed-Matter Simulation of a Three-Dimensional Anomaly

Gordon W. Semenoff
- 24 Dec 1984 - 
- Vol. 53, Iss: 26, pp 2449-2452
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TLDR
A condensed-matter analog of (2+1)-dimensional electrodynamics is constructed in this article, and the consequences of a recently discovered anomaly in such systems are discussed in detail.
Abstract
A condensed-matter analog of (2+1)-dimensional electrodynamics is constructed, and the consequences of a recently discovered anomaly in such systems are discussed.

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The rise of graphene

TL;DR: Owing to its unusual electronic spectrum, graphene has led to the emergence of a new paradigm of 'relativistic' condensed-matter physics, where quantum relativistic phenomena can now be mimicked and tested in table-top experiments.
Journal ArticleDOI

The electronic properties of graphene

TL;DR: In this paper, the basic theoretical aspects of graphene, a one-atom-thick allotrope of carbon, with unusual two-dimensional Dirac-like electronic excitations, are discussed.
Journal ArticleDOI

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

TL;DR: In this paper, an experimental investigation of magneto-transport in a high-mobility single layer of Graphene is presented, where an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene is observed.
Journal ArticleDOI

Topological insulators and superconductors

TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
Journal Article

Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene

TL;DR: An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene.
References
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Journal ArticleDOI

The Band Theory of Graphite

TL;DR: In this paper, the structure of the electronic energy bands and Brillouin zones for graphite was developed using the "tight binding" approximation, and it was found that graphite is a semi-conductor with zero activation energy, but they are created at higher temperatures by excitation to a band contiguous to the highest one which is normally filled.
Journal ArticleDOI

Characterization of chaotic quantum spectra and universality of level fluctuation laws

TL;DR: In this article, it was found that the level fluctuations of the quantum Sinai's billiard are consistent with the predictions of the Gaussian orthogonal ensemble of random matrices.
Journal ArticleDOI

Three-dimensional massive gauge theories

TL;DR: In this article, the authors analyzed three-dimensional Yang-Mills and gravity theories augmented by gauge-invariant mass terms and quantized a dimensionless mass-couplingconstant ratio.
Journal ArticleDOI

Solitons with Fermion Number 1/2

TL;DR: In this article, it was shown that the existence of a non-degenerate, isolated, zero-energy, $c$-number solution of the Dirac equation implies that the soliton is a degenerate doublet with Fermi number.
Journal ArticleDOI

Gravitation, Gauge Theories and Differential Geometry

TL;DR: In this article, the Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois, USA Peter B. GILKEY Fine Hall, Box 37.
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