  Topological magnons in a one-dimensional (1D) ferromagnetic (FM)
Su-Schrieffer-Heeger (SSH) model with anisotropic exchange interactions are
investigated. Apart from the inter-cellular isotropic Heisenberg interaction,
the intercellular anisotropic exchange interactions, i.e. Dzyaloshinskii-Moriya
interaction (DMI) and pseudo-dipolar interaction (PDI), also can induce the
emergence of the non-trivial phase with two degenerate in-gap edge states
separately localized at the two ends of the 1D chain, while the intracellular
interactions instead unfavors the topological phase. The interplay among them
has synergistic effects on the topological phase transition, very different
from that in the two-dimensional (2D) ferromagnet. These results demonstrate
that the 1D magnons possess rich topological phase diagrams distinctly
different from the electronic version of the SSH model and even the 2D magnons.
Due to the lower dimensional structural characteristics of this 1D topological
magnonic system, the magnonic crystals can be constructed from bottom to top,
which has important potential applications in the design of novel magnonic
devices.

Strongly Correlated Electrons