Quasiballistic transport in the long-range anisotropic Heisenberg model

M. Mierzejewski, J. Wronowicz, J. Pawłowski, and J. Herbrych
Phys. Rev. B 107, 045134 – Published 24 January 2023

Abstract

Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, J1/rα, where r is a distance, we show that for spin anisotropy Δexp(α+2) the system exhibits a quasiballistic spin transport and the presence of fermionic excitation, which do not decay up to extremely long times 103/J. This conclusion is reached on the basis of the dynamics of spin domains, the dynamical spin conductivity, inspection of the matrix elements of the spin-current operator, and analysis of most conserved operators. Our results smoothly connect two models in which fully ballistic transport is present: free particles with nearest-neighbor hopping and the isotropic Haldane-Shastry model.

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  • Received 3 October 2022
  • Revised 10 January 2023
  • Accepted 17 January 2023

DOI:https://doi.org/10.1103/PhysRevB.107.045134

©2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

M. Mierzejewski, J. Wronowicz, J. Pawłowski, and J. Herbrych

  • Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370 Wrocław, Poland

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Issue

Vol. 107, Iss. 4 — 15 January 2023

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