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How Hidden Orders Generate Gaps in 1D Fermionic Systems

Strongly Correlated Electrons 2013-07-16 v2

Abstract

We demonstrate that hidden long range order is always present in the gapped phases of interacting fermionic systems on one dimensional lattices. It is captured by correlation functions of appropriate nonlocal charge and/or spin operators, which remain asymptotically finite. The corresponding microscopic orders are classified. The results are confirmed by DMRG numerical simulation of the phase diagram of the extended Hubbard model, and of a Haldane insulator phase.

Keywords

Cite

@article{arxiv.1302.6136,
  title  = {How Hidden Orders Generate Gaps in 1D Fermionic Systems},
  author = {Luca Barbiero and Arianna Montorsi and Marco Roncaglia},
  journal= {arXiv preprint arXiv:1302.6136},
  year   = {2013}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-21T23:32:12.013Z