2019 Physics of Magnetic Materials

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Academic unit or major
Graduate major in Physics
Tanaka Hidekazu 
Class Format
Media-enhanced courses
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Course description and aims

Magnetism is an extensive academic discipline including fundamentals and application and has long history. This course teaches fundamentals of magnetism in magnetic insulators.

Remarkable quantum and many-body effects are observed in magnetic phenomena of solid. Starting from the electronic states of magnetic atoms in solid, students learn magnetic interaction between spins such as exchange interaction, magnetic structure of the ground state, phase transition and critical behavior, magnetic excitations, experimental methods and research frontiers in quantum spin systems and strongly frustrated magnets.

Student learning outcomes

Students will acquire the following knowledge and skills from taking this course.
1) Understand the electron state of magnetic atoms (ions).
2) Understand magnetic phase transitions and exchange interaction that drives them.
3) Understand magnetic excitation.
4) Understand experimental methods of magnetism research.
5) Know cutting edge research.


Magnetism, spin, crystalline field, exchange interaction, magnetic structure, phase transition, critical behavior, magnetic excitation, quantum spin system, frustration

Competencies that will be developed

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

Class flow

Two-thirds of class is devoted to fundamentals and the rest to advanced content and research frontiers.

The backup lecture for IGP students can be given in English after the class.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Electronic states of magnetic atoms (ions) Explain electronic states of magnetic ions.
Class 2 Effect of crystalline field Explain the splitting of electronic orbitals in the crystalline field.
Class 3 Exchange interaction Explain direct and super exchange interactions.
Class 4 Magnetic structure in the ground state Explain the ground state of classical Heisenberg model.
Class 5 Phase transition and critical behavior Explain the phase transition in antiferromagnet using molecular field theory.
Class 6 Magnetic excitations Explain spin wave.
Class 7 Experimental methods for research in magnetism Explain several methods to create magnetic field and to measure magnetic field.
Class 8 Quantum spin systems and highly frustrated magnets Explain magnetic quantum phase transition giving an example.


Ken Kubo and Hidekazu Tanaka: “Magnetism I”; Asakurashoten

Reference books, course materials, etc.

Junjiro Kanamori: “Magnetism”; Baifukan, Kei Yosida: “Magnetism” Iwanamishoten, Hiroshi Kamimura, Satoru Sugano and Yukito Tanabe: “Ligand field theory and its application” Shokabo, Takehiko Oguchi: “Statistical theory of magnetism”

Assessment criteria and methods

Learning achievement is evaluated by reports.

Related courses

  • Quantum Mechanics I
  • Quantum Mechanics II
  • Thermodynamics and Statistical Mechanics I
  • Thermodynamics and Statistical Mechanics II

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

No prerequisites.

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

tanaka[at]lee.phys.titech.ac.jp, 3541

Office hours

Contact by e-mail in advance.

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