This week-long interdisciplinary workshop brings together experts in Nonlinear Analysis and Calculus of Variations with modelers, computational scientists, and experimentalists working on problems arising from spintronics - an emergent field of Microelectronics that attempts to harness the spin degree of freedom of an electron in addition to its electric charge for computer and information technologies. Recent advances in nanofabrication have allowed an unprecedented degree of control of material properties, enabling existence of topological spin textures in magnetic heterostructures. Their modeling and analysis pose exciting challenges at the intersection of Mathematics and the applied Sciences and provide a fresh fertile ground for the Calculus of Variations.

If you are interested in participating to the event via Zoom, please contact the organizers.

List of speakers

  • Anne Bernand-Mantel (CEMES): Topological spin textures stabilized by long-range dipolar interaction in ferromagnetic thin films and their applications
  • Antonio Capella (UNAM): Existence and structure of 360-degree walls in thin film
  • Marco Cicalese (TU Munich): Chirality phases at the ferromagnet-helimagnet transition point
  • Giovanni Di Fratta (Napoli): Minimizing micromagnetic maps with axial symmetry
  • Alessandro Giuliani (Roma Tre): Periodic striped states in Ising models with polynomial interactions
  • Nikolai Kiselev (Juelich): Hopfions in magnetic crystals
  • Hans Knüpfer (Heidelberg): Optimal size for magnetic domains in Thin Ferromagnetic Films
  • Vitaly Moroz (Swansea): Normalized solutions and limit profiles of the Gross-Pitaevskii-Poisson equation
  • Cyrill Muratov (Pisa): Skyrmions in ultrathin magnetic films: an overview
  • Matteo Novaga (Pisa): Domain walls in ferromagnetic nanostrips
  • Melanie Rupflin (Oxford): Quantitative estimates for the Dirichlet energy of maps into the sphere
  • Filipp Rybakov (Uppsala): Topological magnetic structures with homotopy groups of quadratic growth and exponential growth
  • Joao Sampaio (Paris-Saclay): Magnetic dynamics in a ferrimagnetic alloy
  • Theresa Simon (Muenster): The elastic functional as the critical Gamma-limit of the screened Gamow model
  • Oleg Tchernyshyov (John Hopkins): Field theory of a three-sublattice antiferromagnet


With the mini-course Introduction to Mathematical Micromagnetics by Valeriy Slastikov (Bristol); see below.

The workshop is organized by 
Massimiliano Morini (Università di Parma), Cyrill Muratov (Università di Pisa), Matteo Novaga (Università di Pisa) and Giampiero Palatucci (Università di Parma).

Funded by PRIN PNRR Project 
PNRR-M4C2- I1.1 – MUR Call for proposals n. 1409/2022 - Bando PRIN 2022 PNRR - ERC sector PE1- Project title: Magnetic skyrmions, skyrmionic bubbles and domain walls for spintronic applications - Project Code P2022WJW9H- CUP Code D53D23018980001- Funded by the European Union – NextGenerationEU

Introduction to Mathematical Micromagnetics by Valeriy Slastikov

In several lectures we cover some basic topics of mathematical micromagnetics. In Lecture 1 we define the micromagnetic energy and explain formation of some universal magnetic structures (domain walls, vortices, skyrmions) in the simplest setting. In Lecture two we study the influence of magnetostatic energy on magnetization patterns in ferromagnetic materials and derive several reduced models for thin ferromagnetic films. In Lecture 3 we want to understand formation of periodic structures in thin films with perpendicular anisotropy and appearance of microstructure/branching near the boundary of thick films.

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