2015/04/30 by Thessa Fokkema, Kareljan Schoutens
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Combinatorics #Condensed matter physics #Fermion #Fibonacci number #Ground state #Ising model #Lattice (music) #Magnetic field #Mathematics #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Supersymmetry #Theoretical physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1209/0295-5075/111/30007
published as EPL (Europhysics Letters), 111, 30007 (2015) · 6 pages, 3 figures. v3: version as published
openalex publication_date 2015/08/01 · arxiv created 2015/10/08 · arxiv updated 2015/10/09 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/06
We analyse a class of 1D lattice models, known as models, which are characterised by an order- k clustering of spin-less fermions and by lattice supersymmetry. Our main result is the identification of a class of (bulk or edge) defects, that are in one-to-one correspondence with so-called spin fields in a corresponding parafermion CFT. In the gapped regime, injecting such defects leads to ground-state degeneracies that are protected by the supersymmetry. The defects, which are closely analogous to quasi-holes over the fermonic Read-Rezayi quantum Hall states, display characteristic fusion rules, which are of Ising type for k = 2 and of Fibonacci type for k = 3.