Fusion rules and vortices inpx+ipysuperconductors

2005/05/31 by Michael Stone, Suk Bum Chung · 9 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevb.73.014505

published as Phys. Rev. B 73, 014505 (2006) · 23 pages, REVTEX4

arxiv created 2005/11/30 · openalex publication_date 2006/01/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The ``half-quantum'' vortices (\ensuremathσ) and quasiparticles (\ensuremathψ) in a two-dimensional p_x+ip_y superconductor obey the Ising-like fusion rules \ensuremathψ\ifmmode×\else\texttimes\fi\ensuremathψ=1, \ensuremathσ\ifmmode×\else\texttimes\fi\ensuremathψ=\ensuremathσ, and \ensuremathσ\ifmmode×\else\texttimes\fi\ensuremathσ=1+\ensuremathψ. 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.

Citations

• Fault-tolerant quantum computation by anyons
• Nonabelions in the fractional quantum hall effect
• Simulating physics with computers

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• Fractionalization in dimerized graphene and graphene bilayer
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• Testable Signatures of Quantum Nonlocality in a Two-Dimensional Chiralp-Wave Superconductor
• Zero-energy vortex bound states in noncentrosymmetric superconductors
• Stability of Half-Quantum Vortices inpx+ipySuperconductors
• Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian