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PreprintCC BY 4.0arXiv

Spin-Charge Subordination in the Infinite-U SU(N) Hubbard Chain

  • Cătălin Paşcu Moca
  • Ovidiu I. Pâţu
  • Gergely Zaránd
  • Balázs Dóra
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Abstract

We obtain the exact full counting statistics of charge and flavor transport in the one-dimensional infinite-U SU(N) Hubbard model. The no-passing constraint freezes the ordered flavor sequence while the particle coordinates evolve as free spinless fermions. Consequently, charge transfer is governed by a free-fermion determinant, whereas flavor transfer is exactly subordinated to the number of particles crossing the observation cut. For an arbitrary traceless Cartan generator this yields an exact relation between the charge and flavor cumulants. The complete asymptotic flavor distribution is a universal non-Gaussian M-Wright law. Together, these results establish spin--charge subordination as a kinematic mechanism for anomalously slow internal-state transport in one-dimensional impenetrable quantum gases.

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Cite

BibTeXRIS
BibTeX
@misc{moca2026spincharge,
  title = {{Spin-Charge Subordination in the Infinite-$U$ $SU(N)$ Hubbard Chain}},
  author = {Cătălin Paşcu Moca and Ovidiu I. Pâţu and Gergely Zaránd and Balázs Dóra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04814},
  eprint = {2609.04814},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04814},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Spin-Charge Subordination in the Infinite-U SU(N) Hubbard Chain
AU  - Cătălin Paşcu Moca
AU  - Ovidiu I. Pâţu
AU  - Gergely Zaránd
AU  - Balázs Dóra
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04814
UR  - https://arxiv.org/abs/2609.04814
AB  - We obtain the exact full counting statistics of charge and flavor transport in the one-dimensional infinite-U SU(N) Hubbard model. The no-passing constraint freezes the ordered flavor sequence while the particle coordinates evolve as free spinless fermions. Consequently, charge transfer is governed by a free-fermion determinant, whereas flavor transfer is exactly subordinated to the number of particles crossing the observation cut. For an arbitrary traceless Cartan generator this yields an exact relation between the charge and flavor cumulants. The complete asymptotic flavor distribution is a universal non-Gaussian M-Wright law. Together, these results establish spin--charge subordination as a kinematic mechanism for anomalously slow internal-state transport in one-dimensional impenetrable quantum gases.
ER  -