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

Abstract

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.

17 pages

References in corpus (7)

• Quantum quenches in a spinor condensate
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Finite-temperature lineshapes in gapped quantum spin chains
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Dynamical models and the phase ordering kinetics of the s=1 spinor condensate
• Paired state in an integrable spin-1 boson model