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Annals of Physics
Article . 2007 . Peer-reviewed
License: Elsevier TDM
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zbMATH Open
Article . 2007
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2006
License: arXiv Non-Exclusive Distribution
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The wavefunction of an anyon

Authors: Pachos, Jiannis K.;

The wavefunction of an anyon

Abstract

We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that corresponds to the translationally invariant case of a vortex-lattice is derived from which the energy of a single pair of vortices can be estimated. The anyonic properties of the vortices are demonstrated and their generation and transportation manipulations are explicitly given. A simple interference experiment with six spins is proposed that can reveal the anyonic statistics of this model.

8 pages, 5 figures

Related Organizations
Keywords

High Energy Physics - Theory, Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, quantum computation, FOS: Physical sciences, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Quantum field theory on lattices, High Energy Physics - Theory (hep-th), anyons, Quantum computation, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), topological models, Topological field theories in quantum mechanics, Quantum Physics (quant-ph)

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 10%
Top 1%
Green