In the course, the drift and diffusion current are derived from the Boltzmann equation, and students understand the relationship between the mobility and diffusion coefficient, and the relaxation time. In the second part, the band structure of solids is explained by the chemical bonding point of view. The explanation facilitates students’understanding of the origin of effective mass and optical properties of solids. In the final part, the physics of the semiconductor heterojunction is shown.
The aim of this course is the deep understanding of electrical and optical properties of solids.
At the end of this course, students will be able to
1) understand the physics of mobility and diffusion coefficient, and explain the relaxation time.
2) explain the relationship between atomic orbitals and band structure.
3) draw the band diagram of semiconductor heterojunction, and explain the electrical conduction at the heterojunction.
Boltzmann equation, relaxation time, chemical bonds, band structure, heterojunction, electrical conduction
Intercultural skills | Communication skills | ✔ Specialist skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
At the beginning of each class, the previous class is reviewed. At the end of the lecture, an assignment is given.
Course schedule | Required learning | |
---|---|---|
Class 1 | Basics of electrical transport in solids | Explain the mobility. |
Class 2 | Basics of Boltzmann equation | Explain the phase (position-velocity) space. |
Class 3 | Derivation of Boltzmann equation | Derive the Boltzmann equation. |
Class 4 | Drift and diffusion current | Derive the drift and diffusion current. |
Class 5 | Physical property of relaxation time | Explain the relaxation time. |
Class 6 | Basics of band structure | Explain the relationship between the wavenumber and energy. |
Class 7 | Review of quantum mechanics | Explain the Hamiltonian. |
Class 8 | Basics of chemical bonds | Derive the bonding and antibonding orbitals. |
Class 9 | Electronic band structure and chemical bonds | Explain bonds and bands in semiconductors. |
Class 10 | Band structure based on chemical bonding | Explain the band structure. |
Class 11 | Electrons and holes, effective mass, optical properties of solids | Explain the heterostructure and lattice mismatch. |
Class 12 | Band diagram of heterojunction | Draw the band diagram of heterojunction. |
Class 13 | Electrical conduction at the heterojunction | Explain the I-V characteristics at the heterojucntion. |
Class 14 | Transistors, solar cells, quantum wells | Explain the operating principles of heterojunction devices. |
Specified by the academic supervisor, as necessary
Specified by the academic supervisor, as necessary.
Determined by the student outcomes 1) to 3).
Student’s course scores are given based on the final examination.
No prerequisite.
Akira YAMADA（yamada.a.ac[at]m.titech.ac.jp)
Contact by e-mail in advance to schedule an appointment.