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Non-Abelian Anyon Superconductivity
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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-$\kappa$ Chern Simons non-Abelian anyons at finite density and no external magnetic field. We find that in the large-$\kappa$ 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 $\kappa=2$ and argue that the ground state is a superfluid of pairs for all values of $\kappa$.
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Coloring in anyon superconductivity
Doping the ν=2/3 FQAH state produces a unifying 'quark metal' of charge-e/3 fermions whose superconducting and ferromagnetic instabilities reproduce and extend the known zoo of anyon-driven superconductors.
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