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PreprintCC BY-NC 4.0HAL

ℤL symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature

  • Loïc Herviou
  • Elodie Campan
  • Pierre Nataf
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Abstract

We address the SU(N) Fermi-Hubbard model on a chain, with N the number of degenerate orbitals, or colors, for each fermion. In the limit of both large number of colors N and particles, and small number of sites L ≥ 2, the model is proved to undergo a ℤL symmetry breaking for attractive local interaction amplitude U. Using a combination of Exact Diagonalization with full SU(N) symmetry, generalized L-levels Holstein-Primakoff transformation, Hartree-Fock method and large-N saddle point approximation of the partition function, we extend the results obtained in [PRA 111, L020201 (2025)] to L ≥ 3 and finite temperature T>0. In particular, we show that at T=0 for $U

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Cite

BibTeXRIS
BibTeX
@misc{herviou2026ℤl,
  title = {{$\mathbbZ_L$ symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature}},
  author = {Loïc Herviou and Elodie Campan and Pierre Nataf},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  eprint = {2601.02590},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05844605v1},
  note = {CC BY-NC 4.0},
}
RIS
TY  - UNPB
TI  - ℤ_L symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature
AU  - Loïc Herviou
AU  - Elodie Campan
AU  - Pierre Nataf
PY  - 2026
DA  - 2026/10/29
PB  - HAL
UR  - https://hal.science/hal-05844605v1
AB  - We address the SU(N) Fermi-Hubbard model on a chain, with N the number of degenerate orbitals, or colors, for each fermion. In the limit of both large number of colors N and particles, and small number of sites L ≥ 2, the model is proved to undergo a ℤ_L symmetry breaking for attractive local interaction amplitude U. Using a combination of Exact Diagonalization with full SU(N) symmetry, generalized L-levels Holstein-Primakoff transformation, Hartree-Fock method and large-N saddle point approximation of the partition function, we extend the results obtained in [PRA 111, L020201 (2025)] to L ≥ 3 and finite temperature T>0. In particular, we show that at T=0 for $U
ER  -