Non-Abelian Anyon Superconductivity

Waheb Bishara; Chetan Nayak

doi:10.1103/PhysRevLett.99.066401

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Non-Abelian Anyon Superconductivity

Waheb Bishara, Chetan Nayak

DOI 10.1103/PhysRevLett.99.066401 · Physical Review Letters

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Abstract

Non-Abelian anyons exist in certain spin models and may exist in quantum 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 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.