Heisenberg spins on a cone: an interplay between geometry and magnetism

This work is devoted to the study of how spin texture excitations are affected by the presence of a static nonmagnetic impurity whenever they lie on a conical support. We realize a number of novelties as compared to the flat plane case. Indeed, by virtue of the conical shape, the interaction potential between a soliton and an impurity appears to become stronger as long as the cone is tighten. As a consequence, a new kind of solitonic excitation shows up exhibiting lower energy than in the absence of such impurity. In addition, we conclude that such an energy is also dependent upon conical aperture, getting lower values as the latter is decreased. We also discuss how an external magnetic field (Zeeman coupling) affects static solitonic textures, providing instability to their structure.