Geometry and topological order in the non-relativistic Luttinger liquid

H. V. Kruis; I. P. McCulloch; Z. Nussinov; J. Zaanen

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Geometry and topological order in the non-relativistic Luttinger liquid

H. V. Kruis·I. P. McCulloch·Z. Nussinov·J. Zaanen

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Abstract

We demonstrate that the notion of spin-charge separation as follows from the Tomonaga-Luttinger theory of relativistic fermions does not suffice to completely specify the Luttinger liquid state associated with the fermions of condensed matter physics. The latter carries in addition a form of topological order which can be made visible using non-local correlation functions familiar from lattice gauge theory.

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H. V. Kruis, I. P. McCulloch, Z. Nussinov, J. Zaanen. 2002-09-20. Geometry and topological order in the non-relativistic Luttinger liquid. https://arxiv.org/abs/cond-mat/0209493

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