Anyons in Integer Quantum Hall Magnets

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting electrons to topologically nontrivial backgrounds such as in p...

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Bibliographic Details
Published in:Physical review. X 2013-08, Vol.3 (3), p.031008, Article 031008
Main Authors: Rahmani, Armin, Muniz, Rodrigo A., Martin, Ivar
Format: Article
Language:English
Subjects:
Bosons
Collection
Coupling
Electromagnetism
Electrons
Elementary excitations
Excitation
Fermions
Heterostructures
Integers
Magnets
Polyacetylene
Quantum Hall effect
Quantum numbers
Texture
Vector potentials
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Summary:Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting electrons to topologically nontrivial backgrounds such as in polyacetylene. Here, we demonstrate that electronic fractionalization combining features of both these mechanisms occurs in noncoplanar itinerant magnetic systems, where integer quantum Hall physics arises from the coupling of electrons to the magnetic background. The topologically stable magnetic vortices in such systems carry fractional (in general, irrational) electronic quantum numbers and exhibit Abelian anyonic statistics. We analyze the properties of these topological defects by mapping the distortions of the magnetic texture onto effective non-Abelian vector potentials. We support our analytical results with extensive numerical calculations.
ISSN:2160-3308
2160-3308
DOI:10.1103/PhysRevX.3.031008