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• W783680908 abstract "Topological quantum states with non-Abelian Fibonacci anyonic excitations are widely sought after for the exotic fundamental physics they would exhibit, and for universal quantum computing applications. The fractional quantum Hall (FQH) state at a filling factor of $ensuremath{nu}=12/5$ is a promising candidate; however, its precise nature is still under debate and no consensus has been achieved so far. Here, we investigate the nature of the FQH $ensuremath{nu}=13/5$ state and its particle-hole conjugate state at $12/5$ with the Coulomb interaction, and we address the issue of possible competing states. Based on a large-scale density-matrix renormalization group calculation in spherical geometry, we present evidence that the essential physics of the Coulomb ground state (GS) at $ensuremath{nu}=13/5$ and $12/5$ is captured by the $k=3$ parafermion Read-Rezayi state (${mathrm{RR}}_{3}$), including a robust excitation gap and the topological fingerprint from the entanglement spectrum and topological entanglement entropy. Furthermore, by considering the infinite-cylinder geometry (topologically equivalent to torus geometry), we expose the non-Abelian GS sector corresponding to a Fibonacci anyonic quasiparticle, which serves as a signature of the ${mathrm{RR}}_{3}$ state at $13/5$ and $12/5$ filling numbers." @default.
• W783680908 created "2016-06-24" @default.
• W783680908 creator A5051813719 @default.
• W783680908 creator A5079041476 @default.
• W783680908 creator A5085297765 @default.
• W783680908 creator A5089213304 @default.
• W783680908 date "2015-09-18" @default.
• W783680908 modified "2023-10-14" @default.
• W783680908 title "Fractional Quantum Hall States at<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>13</mml:mn><mml:mo>/</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mn>12</mml:mn><mml:mo>/</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:math>and Their Non-Abelian Nature" @default.
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• W783680908 doi "https://doi.org/10.1103/physrevlett.115.126805" @default.
• W783680908 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26431006" @default.
• W783680908 hasPublicationYear "2015" @default.
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