On April 24, 2026, Dr. Mauro M.Doria, Professor at the Federal University of Rio de Janeiro, will discuss the effects of a magnetic field on skyrmion and anti-skyrmion states, which arise as solutions to the Abrikosov-Bogoliubov equations, as part of an online seminar organized by the International Academic Cooperation Project.

The Abrikosov-Bogoliubov (AB) equations provide a unique opportunity to understand the topological properties of a system. The inclusion of spin in these equations makes them truly three-dimensional, but paradoxically, a more detailed study reveals that they describe surface quantum plasmons in conducting layers. Plasmons are collective excitations that propagate along interfaces and layers, and although their origin is two-dimensional, they exist in the surrounding three-dimensional space due to electromagnetic fields. The spatial distribution of the intrinsic magnetic field in the absence of an external magnetic field allows us to identify such quasi-plasmons as skyrmion solutions of the Abrikosov-Bogomolny equations.