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

Abstract

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

7 pages, 10 figures

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• Anomalous Diffusion, Prethermalization, and Particle Binding in an Interacting Flat Band System
• Electric-field driven flat bands in the distorted sawtooth chain via the Katsura-Nagaosa-Balatsky mechanism
• Non-ergodic one-magnon magnetization dynamics of the kagome lattice antiferromagnet
• On flat bands in the $J_1$-$J_2$-$J_3$ XXZ sawtooth chain