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Observing Majorana bound states of Josephson vortices in topological superconductors
Superconductivity · Submitted 11 Dec 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the fluxon will bind a localized zero energy Majorana mode and will consequently behave as a non-Abelian anyon.
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The abstract, sentence by sentence
In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. Predicted to be localized on cores of vortices in certain non-conventional superconductors, their presence is known to render the exchange statistics of bulk vortices non-Abelian. Here we study the equations governing the dynamics of phase solitons (fluxons) in a long Josephson junction in a topological superconductor. We show that the fluxon will bind a localized zero energy Majorana mode and will consequently behave as a non-Abelian anyon. The low mass of the fluxon, as well as its experimentally observed quantum mechanical wave-like nature, will make it a suitable candidate for vortex interferometry experiments demonstrating non-Abelian statistics. We suggest two experiments that may reveal the presence of the zero mode carried by the fluxon. Specific experimental realizations will be discussed as well.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. | background 1.00 | 0.03 | 0.02 | asserted 0.99 |
| s1 | Predicted to be localized on cores of vortices in certain non-conventional superconductors, their presence is known to render the exchange statistics of bulk vortices non-Abelian. | background 1.00 | 0.04 | 0.05 | asserted 0.98 |
| s2 | Here we study the equations governing the dynamics of phase solitons (fluxons) in a long Josephson junction in a topological superconductor. | contribution 0.95 | 0.89 | 0.04 | asserted 0.80 |
| s3 | We show that the fluxon will bind a localized zero energy Majorana mode and will consequently behave as a non-Abelian anyon. | result 0.97 | 0.91 | 0.86 | asserted 1.00 |
| s4 | The low mass of the fluxon, as well as its experimentally observed quantum mechanical wave-like nature, will make it a suitable candidate for vortex interferometry experiments demonstrating non-Abelian statistics. | interpretation 0.92 | 0.31 | 0.09 | hedged possibility 0.57 |
| s5 | We suggest two experiments that may reveal the presence of the zero mode carried by the fluxon. | future work 0.81 | 0.53 | 0.07 | hedged possibility 1.00 |
| s6 | Specific experimental realizations will be discussed as well. | contribution 0.62 | 0.30 | 0.03 | asserted 0.53 |
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The paper
Original abstract
In recent years there has been an intensive search for Majorana fermion states in condensed matter systems. Predicted to be localized on cores of vortices in certain non-conventional superconductors, their presence is known to render the exchange statistics of bulk vortices non-Abelian. Here we study the equations governing the dynamics of phase solitons (fluxons) in a long Josephson junction in a topological superconductor. We show that the fluxon will bind a localized zero energy Majorana mode and will consequently behave as a non-Abelian anyon. The low mass of the fluxon, as well as its experimentally observed quantum mechanical wave-like nature, will make it a suitable candidate for vortex interferometry experiments demonstrating non-Abelian statistics. We suggest two experiments that may reveal the presence of the zero mode carried by the fluxon. Specific experimental realizations will be discussed as well.
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How the literature uses it
6 arXiv papers cite this in 8 sentences
Papers citing it · 5 sentences without a confident label
Cites it as background 3 papers
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There is a great variety of proposals how to implement the unprotected operations without losing phase coherence [ref] .
Top-transmon: hybrid superconducting qubit for parity-protected quantum computation · Introduction · 0.90
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Anyonic interferometry has been the focus of myriad experimental proposals [ref] and efforts to physically implement them [ref] .
Twisted Interferometry: the topological perspective · Introduction · 0.91
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There have been many experimental proposals [ref] to realize and utilize anyonic interferometers, as well as efforts to physically implement them [ref] .
Twisted Interferometry · Introduction · 0.81
What it cites · 1 sentence without a confident label
Cites as background 1 paper
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Non-Abelian statistics [ref] has recently been the subject of intensive research driven both by its possibly profound impact on the field of quantum computation [ref] and by the search for its manifestations [ref] .
$2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States · Introduction · 1.00
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