Geometry and topological order in the non-relativistic Luttinger liquid

Details Geometry and topological order in the non-relativistic Luttinger liquid Geometry and topological order in the non-relativistic Luttinger liquid

2002-09-20

arxiv.org/abs/cond-mat/0209493v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

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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