On the spin-liquid phase of one dimensional spin-1 bosons

F. H. L. Essler 1, G. V. Shlyapnikov 2, 3, A. M. Tsvelik 4

Journal of Statistical Mechanics: Theory and Experiment (2008) 020027

We consider a model of one dimensional spin-1 bosons with repulsive density-density interactions and antiferromagnetic exchange. We show that the low energy effective field theory is given by a spin-charge separated theory of a Tomonaga-Luttinger Hamiltonian and the O(3) nonlinear sigma model describing collective charge and spin excitations respectively. At a particular ratio of the density-density to spin-spin interaction the model is integrable, and we use the exact solutions to provide an independent derivation of the low energy effective theory. The system is in a superfluid phase made of singlet pairs of bosons, and we calculate the long-distance asymptotics of certain correlation functions.

  • 1. The Rudolf Peirls Centre for Theoretical Physics,
    University of Oxford
  • 2. Van der Waals-Zeeman Institute,
    University of Amsterdam
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 4. Department of Condensed Matter Physics and Material Science,
    Brookhaven National Laboratory