View source for 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: [https://wiki.physics.udel.edu/phys824/Computer_Lab] )
 
*[[Media:Introduction_to_differential_equations.txt|Introduction to differential equations for physicists]]
*[[Media:Coupled nonlinear oscillators.txt|Coupled differential equations: N-coupled nonlinear oscillators]]
===References===
* N. Giordano and H. Nakanishi: [http://www.physics.purdue.edu/~hisao/book/ Computational Physics] (2nd edition, Prentice Hall, New Jersey, 2005).
* H. Georgi:  [https://ocw.mit.edu/courses/8-03sc-physics-iii-vibrations-and-waves-fall-2016/ef731c1b91d77a6db003f6c27e300d25_MIT8_03SCF16_Textbook.pdf The physics of waves] (Prentice Hall, Englewood Cliffs, 1993) Chapter 3.

== Introduction to Landau-Lifshitz-Gilbert equation for magentization dynamics ==

*[[Media:Introduction_to_LLG_equations.txt|Introduction to LLG equations and the Heun algorithm]]
*[[Media:1D LLG Code.zip|One-dimensional LLG code]]
*[https://ubermag.github.io/index.html Ubermag] package for operate over existing micromagnetic simulation programs, such as  [https://math.nist.gov/oommf/ OOMMF] and [https://mumax.github.io/ 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). [https://shura.shu.ac.uk/15280/1/Evans_2014_J._Phys.%253A_Condens._Matter_26_103202.pdf [PDF]]

== Classical micromagnetics research projects: Annihilation of topological solitons ==
*[[Media:First Micromagnetic Simuation.txt|First micromagnetic simulation: Introduction to magnetic domains]]  [https://ubermag.github.io/index.html]

*[[Media:Spin Waves and Domain Walls.txt| Domain Wall dynamics and spin waves]]

*[[Media:Skyrmion simulation.txt| Skyrmion simulation ]]

*[[Media:Skyrmion_simulation_2.txt| More about Skyrmion Simulations and collision of Skyrmions]]

===References===
F. Han, [https://www.worldscientific.com/worldscibooks/10.1142/8556#t=aboutBook A modern course in the quantum theory of solids ] (World Scientific, Singapore, 2013). (Chapter 7). 
*Domain Walls: 
** S. Woo, T. Delaney & G, Beach, ''Magnetic domain wall depinning assisted by spin wave bursts''. Nat. Phys. '''13''', 448–454 (2017). [https://doi.org/10.1038/nphys4022 [PDF]]
** Xi. Dong, Di. Bao, ''Investigations of the spin-waves excited by the collision of domain walls in nanostrips'', J. Magn. Magn. Mater '''539''', 0304-8853 (2021).  [https://doi.org/10.1016/j.jmmm.2021.168388 [PDF]]
*Skyrmions:
** '''Introduction to Skyrmions and their dynamics:'''
** N. Nagaosa, Y. Tokura, ''Topological properties and dynamics of magnetic skyrmions'', Nature Nanotech '''8''', 899–911 (2013). [https://www.nature.com/articles/nnano.2013.243#citeas [PDF]]
** A. Fert, V. Cros, J. Sampaio, ''Skyrmions on the track'', Nature Nanotech '''8''', 152–156 (2013). [https://www.nature.com/articles/nnano.2013.29 [PDF]]
** J. Iwasaki, M. Mochizuki & N. Nagaosa, ''Universal current-velocity relation of skyrmion motion in chiral magnets'', Nat Commun '''4''', 1463 (2013).[https://www.nature.com/articles/ncomms2442#citeas [PDF]]
** '''Skyrmion collision:''' 
** 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). [https://www.nature.com/articles/s41567-022-01638-4 [PDF]]
** A. A. Kovalev and S. Sandhoefner, ''Skyrmions and antiskyrmions in quasi-two-dimensional magnets'', Frontiers in Physics '''6''', 98 (2018). [https://www.frontiersin.org/articles/10.3389/fphy.2018.00098/full [PDF]]
** M. Á. Halász and R. D. Amado, ''Skyrmion–anti-skyrmion annihilation with ω mesons'', Phys. Rev. D '''63''', 054020 (2001). [https://doi.org/10.1103/PhysRevD.63.054020 [PDF]]

== Classical micromagnetics research projects: Magnon laser ==

*[[Media:Magnon_laser.txt| Introduction to the Magnon laser theory]]

===References===
* A. Roldan-Molina, A. S. Nunez, ''Magnonic Black Holes'', Phys. Rev. Lett. '''118''', 061301 (2017). [https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.061301 [PDF]]
* J. L. Gaona-Reyes, D. Bermudez, ''The Theory of optical black hole lasers'', Ann. Phys. '''380''', 4916 (2017). [https://www.sciencedirect.com/science/article/abs/pii/S0003491617300830?via%3Dihub [PDF]]
* J. S. Harms, A. Ruckriegel and R. A Duine, '' Dynamically stable negative-energy states induced by spin-transfer torques'' Phys. Rev. B '''103''', 144408 (2021).[https://journals.aps.org/prb/abstract/10.1103/PhysRevB.103.144408 [PDF]]