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We investigate the one-magnon dynamics of the antiferromagnetic delta chainas a paradigmatic example of tunable equilibration. Depending on the ratio ofnearest and next-nearest exchange interactions the spin system exhibits a flatband in one-magnon space - in this case equilibration happens only partially,whereas it appears to be complete with dispersive bands as generally expectedfor generic Hamiltonians. We provide analytical as well as numerical insightinto the phenomenon.

Non-ergodic one-magnon magnetization dynamics of the antiferromagnetic delta chain