Quantum transport in mesoscopic systems
Summary
This course aims to introduce the transport behaviors of micron-size systems, emphasizing learning about recent path-breaking experiments on 2D systems such as Graphene and other vad der Waala materials. The course will also introduce the concept of topological protection and strong correlations.
Content
- Introduction to mesoscoscopic systems and semi classical transport equation
- One dimensional ballistic transport -Landauer-Buttiker formalism
- Topological effects - Interger and Fractional quanum Hall effect
- Fractionally charged particles and anyonic sttistics
- Chern insulators: Berry's phase, Haldane model and TKNN model
- Quantum dot: Clulomb blockade and charge transfer
- Introduction to Graphene: Pseudospin, Hamiltonian, Quantum Hall effect
- Superconductivity:BCS, BdG hamiltonian and Topological superconductivity
- Magic angle twisted graphene: Superconductivity and Corrrelated states
- Semiconducting van der Waals materials and strongly correlated phases of matter
- Introduction to recent significant experimental works
- Introduction to topological quantum computation
Keywords
Graphene, Topology, string correlation, superconductivity, quantum Hall effects
Learning Prerequisites
Required courses
Quantum mechanics I and II
Solid state I and II (not mandatory)
Learning Outcomes
By the end of the course, the student must be able to:
- Describe current research in the field of mesoscopic systems and quantum devices
- Use theoretical concepts to describe real quantum systems
- Formulate the challenges in the field of device physics and connect to quantum science and technology
Teaching methods
Lectures with student's participation and hands-on activities.
Expected student activities
Actively participate to all lectures by asking questions. Deliver a final presentation on modern research topic.
Assessment methods
Each student will be presenting one of the proposed papers during a final symposium.
Resources
Bibliography
Mesoscopic Physics: An introduction by C Harmans
Electronic transport in mesoscopic system by Supriyo Datta
Semiconductor Nanostructures by Thomas Ihn
Ressources en bibliothèque
Références suggérées par la bibliothèque
Moodle Link
In the programs
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Oral (summer session)
- Subject examined: Quantum transport in mesoscopic systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional