Low-lying excitations in one-dimensional lattice electron systems

2004/07/23 by Hal Tasaki, Tasaki, Hal
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.cond-mat/0407616

openalex publication_date 2004/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a general one-dimensional tight-binding electron model which has a period P. For any filling factor ν such that Pν 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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