Quantum transport in mesoscopic systems

PHYS-462 / 4 credits

Teacher: Banerjee Mitali

Language: English

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

  1. Introduction to mesoscoscopic systems and semi classical transport equation
  2. One dimensional ballistic transport -Landauer-Buttiker formalism
  3. Topological effects - Interger and Fractional quanum Hall effect
  4. Fractionally charged particles and anyonic sttistics
  5. Chern insulators: Berry's phase, Haldane model and TKNN model
  6. Quantum dot: Clulomb blockade and charge transfer
  7. Introduction to Graphene: Pseudospin, Hamiltonian, Quantum Hall effect
  8. Superconductivity:BCS, BdG hamiltonian and Topological superconductivity
  9. Magic angle twisted graphene: Superconductivity and Corrrelated states
  10. Semiconducting van der Waals materials and strongly correlated phases of matter
  11. Introduction to recent significant experimental works
  12. 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

Moodle Link

In the programs

  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Quantum transport in mesoscopic systems
  • Lecture: 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
  • Lecture: 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
  • Lecture: 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
  • Lecture: 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
  • Lecture: 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
  • Lecture: 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
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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