2016/11/08 by Po-Hao Huang, Jyong-Hao Chen, Adrian Feiguin +3
Mathematics · Physics and Astronomy · #Abelian group #Advanced Condensed Matter Physics #Central charge #Combinatorics #Condensed matter physics #Conformal map #Geometry #Ising model #Lattice (music) #Mathematical physics #Mathematics #Pfaffian #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin (aerodynamics) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.95.144413
published as Phys. Rev. B 95, 144413 (2017) · 6 pages, 4 figures; 13 page supp. mat
arxiv created 2016/11/08 · openalex created_date 2016/11/30 · openalex publication_date 2017/04/12 · arxiv updated 2017/12/19 · openalex updated_date 2026/08/06
We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-(1)/(2) two-leg ladders with SU(2)-symmetric spin-spin interactions. The two-leg ladders are then arranged on rows and coupled through SU(2)-symmetric interactions between consecutive ladders. The intraladder interactions are tuned so as to realize c=1/2 Ising conformal field theory, a fact that we establish numerically via density matrix renormalization group studies. Time-reversal breaking interladder interactions are tuned so as to open a bulk gap in the 2D lattice system. This 2D system supports gapless chiral edge modes with Ising non-Abelian excitations but no charge excitations, in contrast to the Pfaffian non-Abelian fractional quantum Hall state.