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|
Geometry and topological order in the Luttinger liquid state
Instituut-Lorentz for Theoretical Physics, Leiden University P.O.B. 9506, 2300 RA Leiden, The Netherlands
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.
PACS: 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.)
© EDP Sciences, 2004
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