Magnetic Properties and Fine Analysis of Low Dimensional Matter
A.Y. 2024/2025
Learning objectives
The purpose of the course is to introduce the magnetic properties of matter also as a function of dimensionality (surface ferromagnetism and nano-magnetism) and of the experimental fine analysis methods based on radiation-matter interaction (X-rays, Soft-X-rays, neutrons, electrons). The course has both theory and experimental contents finalized to the comprehension and interpretation of data on magnetic and nano-magnetic systems. The course includes a final two-day stage in Trieste at the NFFA-IOM and Sincrotrone-Trieste. The theory of ferromagnetism is introduced discussion the Heisenberg hamiltonian, the Stoner model, the Ligand Field theory, and Molecular Field theory. The temperature dependence of the magnetization for bulk and surface ferromagnets. The spin polarization of an electron beam via Mott scattering and exchange scattering. The magnetostatics, domain walls (Bloch and Neel). Magnetization dynamics, Landau-Lifshitz-Gilbert equation. Introduction to Fine Analysis of matter: interaction of quantons and matter, sources of EM radiation, synchrotron radiation, Free Electron Laser, diffractive methods, X-ray crystallography, scanning probe microscopy, photoelectron spectroscopy, angle and spin resolved, X-ray absorption and magnetic dichroism spectroscopy and magnetometry
Expected learning outcomes
At the end of the course the student will be able to:
-know the foundations of description of magnetic order in matter;
-know the foundations of the main theories and their domain of application;
-will understand both classical and modern experiments on magnetic properties of matter;
-will know the principles of fine analysis experiments;
-will orient in the contemporary literature on magnetism of low dimensional matter.
-know the foundations of description of magnetic order in matter;
-know the foundations of the main theories and their domain of application;
-will understand both classical and modern experiments on magnetic properties of matter;
-will know the principles of fine analysis experiments;
-will orient in the contemporary literature on magnetism of low dimensional matter.
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
First semester
Course syllabus
1. Introduction to ferromagnetism
2. Mean field approximation
3. Heisenberg's Hamiltonian, bulk and surface
4. Temperature depencence of Magnetization, in the bulk and for low dimensional systems
5. Spin Polarization SP measurement methods and SP vs. T in bulk and surface ferromagnets
6. Magnetic anisotropy
7. Magnetostatics, domain walls (Bloch and Néel)
8. Magnetization dynamics, Landau-Lifshiz-Gilbert equation
9. Symmetries at surfaces
10. Surface melting, theory and experiments of Franck and van der Veen
11. Introduction to fine analysis
12. Interaction of quantons with matter (X-rays -soft and Hard-, electrons, neutrons)
13. Sources of EM radiation, synchrotron light, Free Electron Laser, Laser-HHG
14. Diffraction, X-crystallography, surface crystallography, the phase problem and reconstruction methods
15. Scanning probe microscopy, STM, AFM
16. Tunnel spectroscopy with a tip STS
17. Photoelectron spectroscopy, integrated, energy resolved, angularly resolved, spin resolved
18. X-ray Absorption Spectroscopy and magnetometry XMCD, XMLD
19. Time resolved spectroscopy and pump/probe methods
20. Magneto-acoustics, hybridizaiton of quasiparticles phonons-magnons
21. Final 2-3 day stage at Elettra, FERMI@Elettra and NFFA-IOM CNR at Trieste
2. Mean field approximation
3. Heisenberg's Hamiltonian, bulk and surface
4. Temperature depencence of Magnetization, in the bulk and for low dimensional systems
5. Spin Polarization SP measurement methods and SP vs. T in bulk and surface ferromagnets
6. Magnetic anisotropy
7. Magnetostatics, domain walls (Bloch and Néel)
8. Magnetization dynamics, Landau-Lifshiz-Gilbert equation
9. Symmetries at surfaces
10. Surface melting, theory and experiments of Franck and van der Veen
11. Introduction to fine analysis
12. Interaction of quantons with matter (X-rays -soft and Hard-, electrons, neutrons)
13. Sources of EM radiation, synchrotron light, Free Electron Laser, Laser-HHG
14. Diffraction, X-crystallography, surface crystallography, the phase problem and reconstruction methods
15. Scanning probe microscopy, STM, AFM
16. Tunnel spectroscopy with a tip STS
17. Photoelectron spectroscopy, integrated, energy resolved, angularly resolved, spin resolved
18. X-ray Absorption Spectroscopy and magnetometry XMCD, XMLD
19. Time resolved spectroscopy and pump/probe methods
20. Magneto-acoustics, hybridizaiton of quasiparticles phonons-magnons
21. Final 2-3 day stage at Elettra, FERMI@Elettra and NFFA-IOM CNR at Trieste
Prerequisites for admission
General physics (electromagnetism and special relativity), knowledge of structure of matter and/or solid state physics and surface physics.
Teaching methods
Front lectures and a 2-3 day final stage at Trieste at the NFFA-IOM CNR and Elettra synchrotron radiation facility and SPRINT/FERMI for the exploitation of short-pulsed laser and Free Electron Laser radiation.
www.Trieste.NFFA.eu ; www.Elettra.eu
Lectures will be in Italian or in English upon requst
www.Trieste.NFFA.eu ; www.Elettra.eu
Lectures will be in Italian or in English upon requst
Teaching Resources
J.Stohr, H.C. Siegmann MAGNETISM, from fundamentals to nanoscience dynamics. Springer ISSN 0171-1873
Various articles and PPT presentations made available during the course
Various articles and PPT presentations made available during the course
Assessment methods and Criteria
The oral examination is a discussion on topics dealt with during the course. In about one hour, using the blackboard, it may be discussed an hypothetical research project, or a research paper agreed with the teacher, its theoretical and experimental implications, within the domains of the course.
Professor(s)
Reception:
upon reservation, via e-mail or in the classroom
via Celoria 16, fisica della materia aile