Research Projects for High School Students

Introduction to computational physics

• For an introduction to basic python libraries, review the first three notebooks from PHYS824 (JUPYTER notebooks for hands-on practice: [1] )

• Introduction to differential equations for physicits
• Coupled differential equations: N coupled nonlinear oscillators

References

• N. Giordano and H. Nakanishi: Computational Physics (2nd edition, Prentice Hall, New Jersey, 2005).
• H. Georgi: The physics of waves (Prentice Hall, Englewood Cliffs, 1993) Chapter 3.

Introduction to Landau-Lifshitz-Gilbert equation for magentization dynamics

• Introduction to LLG equations and the Heun algorithm
• One-dimensional LLG code
• Ubermag package for operate over existing micromagnetic simulation programs, such as OOMMF and mumax3.

References

• R. F. L. Evans, W. J. Fan, P. Chureemart, T. A. Ostler, M. O. A. Ellis and R. W. Chantrell, Atomistic spin model simulations of magnetic nanomaterials, J. Phys.: Condens. Matter 26, 103202 (2014). [PDF]

Classical micromagnetics research projects: Annihilation of topological solitons

• First micromagnetic simulation: Introduction to magnetic domains [2]

• Domain Walls dynamics and spin waves

• Skyrmion simulation

References

• Domain Walls:

• Skyrmions:
  • A. Fert, V. Cros, J. Sampaio, Skyrmions on the track. Nature Nanotech 8, 152–156 (2013) [3]
  • F. Zheng, N. S. Kiselev, L. Yang, V. M. Kuchkin, F. N. Rybakov, S. Blügel, and R. E. Dunin-Borkowski, Skyrmion–antiskyrmion pair creation and annihilation in a cubic chiral magnet, Nat. Phys. 18, 863 (2022). [PDF]
  • A. A. Kovalev and S. Sandhoefner, Skyrmions and antiskyrmions in quasi-two-dimensional magnets, Frontiers in Physics 6, 98 (2018). [PDF]
  • M. Á. Halász and R. D. Amado, Skyrmion–anti-skyrmion annihilation with ω mesons, Phys. Rev. D 63, 054020 (2001). [PDF]