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PreprintarXiv licencearXiv

Exact anomalous current fluctuations in the strong-anisotropy limit of the XXZ chain

  • Taiki Ishiyama
  • Taiga Kurose
  • Kazuya Fujimoto
  • Tomohiro Sasamoto
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Abstract

We study spin-current fluctuations of the folded XXZ chain, which describes the strong-anisotropy limit of the XXZ chain. We obtain an exact expression for the moment-generating function of the time-integrated spin current at infinite temperature. A long-time asymptotic analysis establishes that the rescaled time-integrated current converges to a non-Gaussian distribution described by the M-Wright function. The derivation relies on a nonlocal map to the one-dimensional t-0 model and its exact spin-charge separation. By extending this approach, we also show that the dynamical correlation function of the spins summed over two adjacent sites exhibits a diffusive Gaussian profile at long times.

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Cite

BibTeXRIS
BibTeX
@misc{ishiyama2026exact,
  title = {{Exact anomalous current fluctuations in the strong-anisotropy limit of the XXZ chain}},
  author = {Taiki Ishiyama and Taiga Kurose and Kazuya Fujimoto and Tomohiro Sasamoto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37512},
  eprint = {2609.37512},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37512},
}
RIS
TY  - UNPB
TI  - Exact anomalous current fluctuations in the strong-anisotropy limit of the XXZ chain
AU  - Taiki Ishiyama
AU  - Taiga Kurose
AU  - Kazuya Fujimoto
AU  - Tomohiro Sasamoto
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37512
UR  - https://arxiv.org/abs/2609.37512
AB  - We study spin-current fluctuations of the folded XXZ chain, which describes the strong-anisotropy limit of the XXZ chain. We obtain an exact expression for the moment-generating function of the time-integrated spin current at infinite temperature. A long-time asymptotic analysis establishes that the rescaled time-integrated current converges to a non-Gaussian distribution described by the M-Wright function. The derivation relies on a nonlocal map to the one-dimensional t-0 model and its exact spin-charge separation. By extending this approach, we also show that the dynamical correlation function of the spins summed over two adjacent sites exhibits a diffusive Gaussian profile at long times.
ER  -