Geometry and topological order in the Luttinger liquid stateH. V. Kruis, I. P. McCulloch, Z. Nussinov and J. Zaanen
Instituut-Lorentz for Theoretical Physics, Leiden University P.O.B. 9506, 2300 RA Leiden, The Netherlands
(Received 6 May 2003; accepted 5 December 2003)
We demonstrate the existence of a form of topological order in the Luttinger liquid state, which appears crucial to the notion of spin-charge separation. This order, which is closely related to the hidden order characterizing the Haldane spin chains, appears to be incompletely specified in the Tomonaga-Luttinger picture from bosonization. Thus, we use numerical calculations to complete the picture.
71.27.+a - Strongly correlated electron systems; heavy fermions.
75.10.-b - General theory and models of magnetic ordering.
71.10.Fd - Lattice fermion models (Hubbard model, etc.).
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