2008/10/31 by Eytan Grosfeld, Kareljan Schoutens · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Abelian group #Anyon #Central charge #Combinatorics #Condensed matter physics #Conformal field theory #Conformal map #Fibonacci number #Geometry #Ising model #Magnetic field #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Theoretical physics #Topological quantum computer #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.103.076803
published as Phys. Rev. Lett. 103, 076803 (2009) · As published in PRL
openalex publication_date 2009/08/13 · arxiv created 2009/08/14 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider an interface between two non-Abelian quantum Hall states: the Moore-Read state, supporting Ising anyons, and the k=2 non-Abelian spin-singlet state, supporting Fibonacci anyons. It is shown that the interface supports neutral excitations described by a (1+1)-dimensional conformal field theory with a central charge c=7/10. We discuss effects of the mismatch of the quantum statistical properties of the quasiholes between the two sides, as reflected by the interface theory.