Low-lying excitations in one-dimensional lattice electron systems

Details Low-lying excitations in one-dimensional lattice electron systems Low-lying excitations in one-dimensional lattice electron systems

2004-07-23

arxiv.org/abs/cond-mat/0407616v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures. v2: changed the title and added introductory part

Scientific paper

We consider a general one-dimensional tight-binding electron model which has a period $P$. For any filling factor $\nu$ such that $P\nu$ is non-integral, we prove that the model in the infinite volume limit has either a symmetry breaking or a unique ground state with gapless excitations. The proof is based on the idea of Yamanaka, Oshikawa and Affleck (cond-mat/9701141), who extended the Lieb-Schultz-Mattis argument to electron systems.

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