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

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Essler, F. H. L.
Shlyapnikov, G. V.
Tsvelik, A. M.
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Abstract
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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.
Comment: 17 pages
Keywords
Condensed Matter - Other Condensed Matter, Condensed Matter - Strongly Correlated Electrons
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