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Localization-delocalization transition and $$\mathscr{P}\mathscr{T}$$-symmetry breaking via second-neighbor coupling in a Heisenberg spin chain

Crossref DOI link: https://doi.org/10.1038/s41598-026-52747-6

Published Online: 2026-05-19

Update policy: https://doi.org/10.1007/springer_crossmark_policy

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