In the semiconductor industry, which is one of the foundations of modern society, various electronic devices have been developed based on band theory and have brought great success. However, it is known that among the materials around us, such as magnetic materials, there are a group of compounds called strongly correlated electron systems, which cannot be understood by the band theory because of the large Coulomb interactions between electrons. The purpose of this lecture is to provide an overview of the physical properties of such strongly correlated electron systems and to give students a broader view of materials.
By taking this course, we will acquire the following two abilities.
(1) Understand the relationship between a band insulator described by mean field theory and Mott insulator of strongly correlated electron systems.
(2) Understand the magnetic properties of transition metal compounds.
electronic properties in solids, strongly correlated electron systems, transition metal compounds, Mott insulator, magnetism
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
The lecture will be conducted based on the topics listed in the lesson plan.
Course schedule | Required learning | |
---|---|---|
Class 1 | Introduction to the strongly correlated electron systems | Learn what kind of electronic properties exist in strongly correlated electron systems. |
Class 2 | Band theory | Understand the definition of metals and insulators according to the band theory. |
Class 3 | Mott insulator | Learn about the specific insulators, which cannot be treated by band theory, and understand their characteristics. |
Class 4 | Crystal field/Ligand field | Understand the concept of crystal field/ligand field. |
Class 5 | Magnetism (1): Magnetism of atoms | Understand the magnetic properties exhibited by atoms. |
Class 6 | Magnetism (2): Magnetism of solids | Understand the magnetic properties of solids composed of macroscopic numbers of atoms. |
Class 7 | Correlation between magnetism and electric properties | Understand the unique physical properties of the strongly correlated electron systems, such as magnetoresistance and electro-magnetic effect in transition metal compounds. |
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Unspecified.
Kittel: Introduction to Solid State Physics
Evaluation will be based on the level of understanding of the physical properties of strongly correlated electron systems such as magnetism. Grades will be based on final examinations or reports.
Elementary knowledge of quantum chemistry/quantum mechanics.
See “Other” section in Japanese syllabus.