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Topological Quantum Computing

Fractional quantum hall effect in infinite-layer systems.

PubMed
Authors: Naud JD, Pryadko LP, Sondhi SL

Year

2000

Paper ID

13271

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

89

Citations

21

Abstract

Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases. We analyze the simplest such phases and find novel bulk properties, e.g. , irrational braiding. These phases host "one and a half" dimensional surface phases in which motion in one direction is chiral. We offer a general analysis of conduction in the latter by combining sum rule and renormalization group arguments, and find that when interlayer tunneling is marginal or irrelevant they are chiral semimetals that conduct only at T > 0 or with disorder.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • Stacked two dimensional electron systems in transverse magnetic fields exhibit three dimensional fractional quantum Hall phases.

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References & Citation Signals

[1] DOI https://doi.org/10.1103/PhysRevLett.85.5408 [2] Publisher https://pubmed.ncbi.nlm.nih.gov/11136008/

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