English

Geometry and topological order in the non-relativistic Luttinger liquid

Strongly Correlated Electrons 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0209493,
  title  = {Geometry and topological order in the non-relativistic Luttinger liquid},
  author = {H. V. Kruis and I. P. McCulloch and Z. Nussinov and J. Zaanen},
  journal= {arXiv preprint arXiv:cond-mat/0209493},
  year   = {2007}
}

Comments

4 pages, 2 figures