Europhys. Lett.
Volume 65, Number 4, February 2004
Page(s) 512 - 518
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 February 2004
Europhys. Lett., 65 (4) , pp. 512-518 (2004)
DOI: 10.1209/epl/i2003-10114-3

Geometry and topological order in the Luttinger liquid state

H. 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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