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2021 Faculty Courses School of Science Department of Physics Graduate major in Physics

Quantum Transport

Academic unit or major
Graduate major in Physics
Instructor(s)
Toshimasa Fujisawa
Class Format
Lecture
Media-enhanced courses
-
Day of week/Period
(Classrooms)
3-4 Fri
Class
-
Course Code
PHY.C444
Number of credits
100
Course offered
2021
Offered quarter
3Q
Syllabus updated
Jul 10, 2025
Language
English

Syllabus

Course overview and goals

This course focuses on quantum transport of electrons with electron spins in materials at low temperatures. While high-quality semiconductors will be considered as typical materials, quantum transport in other materials will be introduced as well. Quantum transport, such as in electrical transport, is attractive for studying non-equilibrium phenomena, where the system can be continuously varied from a nearly thermal equilibrium condition to a highly non-equilibrium situation. The lecture is organized to focus on interference effects, Coulomb interactions, spin-orbit interactions, and so on, in low-dimensional systems. Some exercises will be provided for each section.

Course description and aims

At the end of this course, students will be able to:
- Understand fundamental laws in quantum transport
- Understand basic transport characteristics of low-dimensional electron systems.
- Understand intriguing quantum transport associated with interactions.

Keywords

Quantum transport phenomena, low-dimensional electron systems, quanyum Hall effect, quantum dot

Competencies

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

Class flow

Sufficient understanding will be reached by providing a lecture and an exercise for each section. The lecture includes fundamental concepts and laws as well as up-to-date research topics. Students will be asked to submit reports for the exercises.

Course schedule/Objectives

Course schedule Objectives
Class 1 The objective of the course and overview of quantum transport. Understand the overview of quantum transport.
Class 2 Band structure and symmetry Exercises (subject to change)
Class 3 Single-electron transport and zero-dimensional electron systems Exercises (subject to change)
Class 4 Quantum transport based on the density matrix Exercises (subject to change)
Class 5 Quantum transport based on the scattering theory Exercises (subject to change)
Class 6 Quantum Hall effects Exercises (subject to change)
Class 7 Quantum interference effects Exercises (subject to change)

Study advice (preparation and review)

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.

Textbook(s)

Lecture Note will be provided

Reference books, course materials, etc.

T. T. Heikkila, The Physics of Nanoelectronics, Transport and Fluctuation Phenomena at Low temperatures, Oxford Master Series in Condensed Matter Physics, ISBN-13: 978-0199673490

Yuli V. Nazarov and Yaroslav M. Blanter, Quantum Transport: Introduction to Nanoscience, Cambridge University Press, ISBN-13: 978-0521832465

Evaluation methods and criteria

Reports

Related courses

  • PHY.C340 : Basic Solid State Physics

Prerequisites

No requirements.