Non-Abelian Anyon Superconductivity

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 $d+id$ 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 $\kappa$.

5 pages, no figures

References in corpus (1)

• Electron fractionalization in two-dimensional graphenelike structures

Cited by in corpus (1)

• Non-Abelian Anyons and Topological Quantum Computation