Berlin 2015 – wissenschaftliches Programm
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 1: Statistische Mechanik
MP 1.1: Vortrag
Dienstag, 17. März 2015, 09:30–09:50, HFT-FT 101
Condensate-induced transitions and critical spin chains: Exactly solvable spin-1/2 chains with so(N)1 critical points — •Ville Lahtinen1,2, Teresia Månsson3, and Eddy Ardonne4 — 1FU Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1090 GL Amsterdam, The Netherlands — 3Department of Theoretical Physics, School of Engineering Sciences, Royal Institute of Technology (KTH), Roslagstullsbacken 21, SE-106 91 Stockholm, Sweden — 4Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
We construct a hierarchy of exactly solvable spin-1/2 chains with so(N)1 critical points. Our construction is motivated by the framework of condensate-induced transitions between topological phases. We employ this framework to construct a Hamiltonian term that couples N transverse field Ising chains such that the resulting theory is critical and described by the so(N)1 conformal field theory. By employing spin duality transformations, we then cast these spin chains for arbitrary N into translationally invariant forms that all allow exact solution by the means of a Jordan-Wigner transformation. These models generalize 1D cluster models and show how the exotic so(N)1 criticality can emerge by suitably perturbing symmetry protected topological order.