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2017　Advanced Course of Magnetism

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Academic unit or major
Graduate major in Materials Science and Engineering
Instructor(s)
Itoh Mitsuru  Taniyama Tomoyasu 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Tue1-2(J234)  Fri1-2(J234)  
Group
-
Course number
MAT.C406
Credits
2
Academic year
2017
Offered quarter
4Q
Syllabus updated
2017/3/17
Lecture notes updated
-
Language used
Japanese
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Course description and aims

This course begins with a brief description of spin angular momentum and exchange interaction, and covers the other magnetic interactions that lead to ferromagnetism, antiferromagnetism, and helical magnetism. Also, the fundamentals of magnetism in metals and magnetic anisotropy, which are central in magnetic applications, are included.
Magnetic phenomena are observed in a variety of inorganic, metallic and organic materials, and are used for a number of applications. The origins of the magnetic phenomena in insulators and metals are totally different, and it is essential to understand the magnetic interactions for each in order to understand such magnetic phenomena. The course enables students to acquire the fundamental knowledge that is necessary to fully understand the magnetic phenomena.

Student learning outcomes

By the end of this course, students will be able to:
1) Understand how a variety of magnetic phenomena are derived from the magnetic interactions that are characteristic of insulators and metals.
2) Understand new magnetic phenonema through the relationship between the magnetic properties and its microscopic origin, and grasp the gist of the magnetic phenomena.
3) Understand how to use the macroscopic magnetic properties that are essential for magnetic applications.

Keywords

Magnetic moment, spin angular momentum, exchange interaction, super-exchange interaction, double exchange interaction, Dzyaloshinskii-Moriya interaction, crystalline field splitting, Jahn-Teller effect, mean field theory of ferromagnetism and antiferromagnetism, helical spin structure, spin wave theory, Stoner theory, RKKY interaction, Kondo effect, magnetic anisotropy, magnetization process, magnetic domain structure, magneto transport, spintronics

Competencies that will be developed

✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

Class flow

To get a good understanding of the course contents, exercise problems are provided.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Magnetic moment and spin angular momentum Understand the concepts of magnetic moment and spin angular momentum.
Class 2 Exchange interaction Derive the exchange energy spin operator.
Class 3 Super-exchange interaction Understand super-exchange interaction.
Class 4 Double exchange interaction Understand double exchange interaction and explain the fundamental magnetic properties of Mn oxides.
Class 5 Dzyaloshinskii-Moriya interaction Derive the relationship between crystalline symmetry and spin structure based on Dzyaloshinskii-Moriya interaction.
Class 6 Crystalline field splitting and Jahn-Teller effect Understand Jahn-Teller effect based on the splitting of 3d orbitals in octahedral symmetry.
Class 7 Mean field theory of ferromagnetism and antiferromagnetism Derive the magnetic susceptibility and understand the mechanism of spin-flop in an antiferromagnet
Class 8 Helical magnetism Understand the origin of helical magnetism
Class 9 Spin wave theory Derive the energy dispersion of a spin wave using the Heisenberg equation.
Class 10 Stoner theory of ferromagnetism Derive the Stoner criteria for ferromagnetism.
Class 11 RKKY interaction Understand RKKY interaction in diluted magnetic alloys and spin glass ordering.
Class 12 Kondo effect Understand the spin flip scattering using Anderson Hamiltonian and explain the temperature dependent resistivity of diluted magnetic alloys.
Class 13 Magnetic anisotropy and magnetization process Derive the magneto-crystalline anisotropy of a ferromagnet in cubic symmetry and the torque curve .
Class 14 Magnetic domain strucgture Derive the width of a magnetic domain wall in a uniaxial ferromagnet.
Class 15 Magnetotransport and spintronics Understand the concept of spin current, asymmetric spin scattering, and spin Hall effect.

Textbook(s)

Refer to either of the following reference books.

Reference books, course materials, etc.

Kengo Adachi. Magnetism of Compounds. Shokabo; ISBN 4-7853-2607-7.
Takeo Nagamiya. Theory of Magnetism. Yoshioka-shoten; ISBN 4-8427-0218-4
Kei Yoshida. Magnetism. Iwanami-shoten; ISBN 978-4007302343

Assessment criteria and methods

Student's knowledge of magnetic interactions and the origin of magnetism will be assessed. Evaluated by a final exam 100%.

Related courses

  • MAT.M408 ： Quantam Statistical Mechanics
  • MAT.M407 ： Advanced Solid State Physics
  • MAT.C401 ： Advanced Course of Dielectric and Ferroelectric Materials

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students must have successfully completed classes of electrodynamics, quantum mechanics, and statistical mechanics at the undergraduate level or have equivalent knowledge.

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