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Fusion rules and vortices in px+ipy superconductors

Michael Stone, Suk-Bum Chung

DOI 10.1103/PhysRevB.73.014505 · Physical Review B

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Abstract

The “half-quantum” vortices (σ) and quasiparticles (ψ) in a two-dimensional px+ipy superconductor obey the Ising-like fusion rules ψ×ψ=1, σ×ψ=σ, and σ×σ=1+ψ. We explain how the physical fusion of vortex-antivortex pairs allows us to use these rules to read out the information encoded in the topologically protected space of degenerate ground states. We comment on the potential applicability of this fact to quantum computation.

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FormulaReported Tc (K)Pressure (GPa)Type
Sr2RuO4

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—Pressure not reportedunknown

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