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

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

2008-11-05

arxiv.org/abs/0811.0844v1

J. Stat. Mech. Theor. Exp., P02027 (2009)

Physics

Condensed Matter

Other Condensed Matter

17 pages

Scientific paper

10.1088/1742-5468/2009/02/P02027

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.

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