Antiferromagnets
host exotic quasiparticles, support high frequency
excitations and are key enablers of the prospective spintronic and
spin–orbitronic technologies. Here, we propose a concept of
a curvilinear antiferromagnetism where material responses can be tailored
by a geometrical curvature without the need to adjust material parameters.
We show that an intrinsically achiral one-dimensional (1D) curvilinear
antiferromagnet behaves as a chiral helimagnet with geometrically
tunable Dzyaloshinskii–Moriya interaction (DMI) and orientation
of the Néel vector. The curvature-induced DMI results in the
hybridization of spin wave modes and enables a geometrically driven
local minimum of the low-frequency branch. This positions curvilinear
1D antiferromagnets as a novel platform for the realization of geometrically
tunable chiral antiferromagnets for antiferromagnetic spin–orbitronics
and fundamental discoveries in the formation of coherent magnon condensates
in the momentum space.
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