Work

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

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7214982158
Cites: 51
Cited by: 1
Related to: 10