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Non-Abelian Anyon Superconductivity

Waheb Bishara·Chetan Nayak
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Abstract

Non-Abelian Anyons exist in certain spin models and may exist in Quantuam Hall systems at certain filling fractions. In this work we studied the ground state of dynamical SU(2) level-$κ$ Chern Simons non-Abelian anyons at finite density and no external magnetic field. We find that in the large-$κ$ limit the topological interaction induces a pairing instability and the ground state is a superconductor with $\it{d+id}$ gap symmetry. We also develop a picture of pairing for the special value $κ=2$ and argue that the ground state is a superfluid of pairs for all values of $κ$.

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Waheb Bishara, Chetan Nayak. 2007-03-03. Non-Abelian Anyon Superconductivity. https://doi.org/10.1103/physrevlett.99.066401

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