  In recent years, noncollinear topological textures have long gained
increasing research attentions for their high values of both fundamental
researches and potential applications. The recent discovery of intrinsic orders
in magnetic and polar two-dimensional van der Waals materials provides a new
ideal platform for the investigation of noncollinear topological textures.
Here, we review the theoretical and experimental progresses on noncollinear
topological textures in two-dimensional van der Waals materials in very recent
years. During these years, magnetic skyrmions of both Bloch and N\'eel types
have been observed experimentally in a few two-dimensional van der Waals
materials and related heterostructures. Concurrently, more theoretic
predictions basing on various mechanisms have been reported about different
noncollinear topological textures in two-dimensional van der Waals materials,
such as skyrmions, bimerons, anti-biskyrmions and skyrmionium, which are still
waiting to be confirmed in experiments. Besides, noncollinear topological
electric dipole orders have also been predicted in two-dimensional van der
Waals materials. Taking advantage of the intrinsic two-dimensional nature and
high integratability, the two-dimensional van der Waals materials will play an
important role in the investigation on noncollinear topological textures in
both magnetic and polar systems.
