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Non-Abelian anyon superconductivity.

Waheb Bishara1, Chetan Nayak

  • 1Department of Physics, California Institute of Technology, MC 256-80, Pasadena, California 91125, USA.

Physical Review Letters
|October 13, 2007
PubMed
Summary
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Non-Abelian anyons exhibit pairing instability, leading to a superconducting ground state with d+id gap symmetry in the large-kappa limit. This pairing phenomenon is observed across all kappa values, indicating a superfluid state.

Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Topological Phases of Matter

Background:

  • Non-Abelian anyons are exotic quasiparticles found in specific spin models and quantum Hall systems.
  • Understanding their behavior is crucial for developing fault-tolerant quantum computation.

Purpose of the Study:

  • Investigate the ground state properties of dynamical SU(2) level-kappa Chern-Simons non-Abelian anyons.
  • Analyze the system's behavior at finite density and without an external magnetic field.
  • Determine the impact of topological interactions on the ground state's symmetry and phase.

Main Methods:

  • Theoretical analysis of the ground state in the large-kappa limit.
  • Development of a pairing picture for the specific case of kappa=2.

Related Experiment Videos

  • Extrapolation of pairing behavior for all kappa values.

    • Main Results:

    • Topological interactions induce a pairing instability in the large-kappa limit.
    • The ground state exhibits a superconducting phase with d+id gap symmetry.
    • A superfluid state of pairs is predicted for all kappa values.

    Conclusions:

    • The study reveals a novel superconducting ground state driven by topological interactions in non-Abelian anyon systems.
    • The findings suggest potential pathways for realizing exotic topological phases.
    • The research provides a theoretical framework for understanding pairing phenomena in these systems.