Spin texture of fragile topology

Topological phases are have been the subject of intense studies over the recent years, as they are interesting both from a fundamental theoretical

perspective and from an experimental perspective. To bring these two directions together, it is crucial to study physical properties that can be linked

to topology. This has been successfully done in many stable topological phases, but similar results are often incomplete or lacking in more recent

theoretical advances of the field. Here, we make some headway towards this idea by presenting a link between fragile topology and momentum-space spin textures. We include a discussion of possible ways to measure this connection.