Fusion rules and vortices in px +i py superconductors

Michael Stone, Suk Bum Chung

Research output: Contribution to journalArticlepeer-review

121 Scopus citations

Abstract

The "half-quantum" vortices (σ) and quasiparticles (ψ) in a two-dimensional px +i py 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.

Original languageEnglish
Article number014505
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number1
DOIs
StatePublished - 2006

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