Geometry and topological order in the non-relativistic Luttinger liquid

2002/09/20 by H. V. Kruis, I. P. McCulloch, Kruis, H. V. +5
Physics and Astronomy · #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0209493

4 pages, 2 figures

arxiv created 2002/09/20 · arxiv updated 2009/11/30

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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