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.
Dr. Mauro M.Doria, professor at the Federal University of Rio de Janeiro, presented the description of topological insulators within the framework of the Abrikosov-Bogomolny equation. The presentation took place at the online seminar of the International Academic Cooperation Project
This is the first of two consecutive seminars on the problem of the Abrikosov-Bogomolny equations and their connection with topological phenomena. The seminar was devoted to the consideration of the Abrikosov-Bogomolny equations in the spinless (scalar) mode, which operate in 2nd-order superconductors near the upper critical field and in the crossover region between 2nd- and 1st-order superconductivity.The focus of the seminar is to obtain the Abrikosov-Bogomolny equations from the kinetic energy of a Schrödinger scalar field by decomposing this energy into three parts, which is known as a special case of the Laplace operator representation through the Lichnerowicz Laplace operator and leads to a local relation between the magnetic induction and the superconducting order parameter.
Poster presentation "The Influence of Interband Scattering on the Intertype Mode in Dirty Two-Band Superconductors" was presented by a Senior Researcher of the Center for Quantum MetamaterialsIAC Project at the XXX Symposium on Nanophysics and Nanoelectronics.
The symposium was held in Nizhny Novgorod March 9- 13, 2026, and brought together more than six hundred scientists from Russia and other countries. It was the largest condensed matter physics conference in Russia, covering a wide range of topics in the physics of superconducting, magnetic, and semiconductor systems, multilayer X-ray optics, and quantum technologies. The results reached by Senior Researcher Marychev P.M. and Chief Researcher Shanenko A.A. and presented in the Poster were highly regarded by the participants.
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.