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.
An online seminar of the International Academic Cooperation project on the topic of Rashba's interaction, its derivation from the kinetic energy of the Schrödinger field, and the demonstration of linear quasiparticle dispersion was held on March 27, 2026.
The seminar is the second of two consecutive seminars dedicated to the problem of the connection of the Abrikosov-Bogomolny equations with the physics of topological effects. While the first seminar focused on the classical scalar case and laid the foundation for understanding self-dual vortex structures in type II superconductors, this seminar explores the Abrikosov-Bogomolny equations with the inclusion of spin degrees of freedom. The speaker: Mauro Doria, a member of the IAS project and a professor at the Federal University of Rio de Janeiro.
A Participant of the IAC project, Professor Mauro M.Doria, has published the book ONE STEP TO QUANTUM MECHANICS (Mauro M. Doria, Ph.D., Yale University 1983, Full Professor, Institute of Physics, Federal University of Rio de Janeiro, Brazil (452 pages 33 Chapters, in portuguese)
The book is specially focused on the period that precedes the discovery of Quantum Mechanics that now, in 2025, completes one hundred years.