Abstract
Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, , where is a distance, we show that for spin anisotropy the system exhibits a quasiballistic spin transport and the presence of fermionic excitation, which do not decay up to extremely long times . 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.
1 More- Received 3 October 2022
- Revised 10 January 2023
- Accepted 17 January 2023
DOI:https://doi.org/10.1103/PhysRevB.107.045134
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