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-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.

Keywords

AnyonSuperconductivityPhysicsAbelian groupTopological quantum computerCondensed matter physicsTheoretical physicsQuantum mechanicsQuantumMathematicsPure mathematics

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Publication Info

Year
2007
Type
article
Volume
99
Issue
6
Pages
066401-066401
Citations
7
Access
Closed

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Cite This

Waheb Bishara, Chetan Nayak (2007). Non-Abelian Anyon Superconductivity. Physical Review Letters , 99 (6) , 066401-066401. https://doi.org/10.1103/physrevlett.99.066401

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DOI
10.1103/physrevlett.99.066401