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Open AccessJournal Article

Theory of the quantized Hall conductance

Bertrand I. Halperin
- 01 Jan 1983 - 
- Vol. 56, pp 75-102
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This article is published in Helvetica Physica Acta.The article was published on 1983-01-01 and is currently open access. It has received 617 citations till now. The article focuses on the topics: Conductance quantum & Quantum Hall effect.

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Journal ArticleDOI

Non-Abelian Anyons and Topological Quantum Computation

TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the ''ensuremath{ u}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.

Non-Abelian Anyons and Topological Quantum Computation

TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject using the nu=5/2 fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.
Journal ArticleDOI

Classification of topological insulators and superconductors in three spatial dimensions

TL;DR: In this paper, the authors systematically studied topological phases of insulators and superconductors in three dimensions and showed that there exist topologically nontrivial (3D) topologically nonsmooth topological insulators in five out of ten symmetry classes introduced in the context of random matrix theory.
Journal ArticleDOI

Nonabelions in the fractional quantum Hall effect

TL;DR: In this article, the relation between the order parameter in the fractional quantum Hall effect and the chiral algebra in rational conformal field theory is stressed, and new order parameters for several states are given.
Book ChapterDOI

Quantum Transport in Semiconductor Nanostructures

TL;DR: In this article, the authors describe the properties of Si-inversion layers in GaAs-AlGaAs Heterostructures and the Quantum Hall Effect in strong magnetic fields.
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