English

Emergent mode and bound states in single-component one-dimensional lattice fermionic systems

Strongly Correlated Electrons 2019-11-11 v2

Abstract

We study the formation of bound states in a one-dimensional, single-component Fermi chain with attractive interactions. The phase diagram, computed from DMRG (density matrix renormalization group), shows not only a superfluid of paired fermions (pair phase) and a liquid of fermion triplets (trion phase), but also a phase with two gapless modes. We show that the latter phase is described by a 2-component Tomonaga-Luttinger liquid (TLL) theory, consisting of one charged and one neutral mode. We argue based on our numerical data, that the single, pair, and trion phases are descendants of the 2-component TLL theory. We speculate on the nature of the phase transitions amongst these phases.

Keywords

Cite

@article{arxiv.1811.06066,
  title  = {Emergent mode and bound states in single-component one-dimensional lattice fermionic systems},
  author = {Yuchi He and Binbin Tian and David Pekker and Roger S. K. Mong},
  journal= {arXiv preprint arXiv:1811.06066},
  year   = {2019}
}

Comments

4 pages of main text with 3 figures and 5 pages of appendices with 7 figures

R2 v1 2026-06-23T05:16:02.789Z