Quantum Hall Effects
Online
8 Weeks
Free Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Guwahati (IITG) |
The fees for the course Quantum Hall Effects is :
| Fees components | Amount |
| Exam fees | Rs. 1,000 |
The Syllabus
- Transport in mesoscopic systems
- Historical introduction of Hall effect
- Classical Hall effect
- Discovery of Quantum Hall Effect (QHE)
- Two dimensional electron gases (2 DEG)
- Band diagrams
- Hall Resistivity and Conductivity
- Resistivity measurements
- QHE and Metrology, quantization of resistivity, experimental plot of quantized resistivity
- Hall and longitudinal resistivity, plateaus, Integer QHE (IQHE)
- 2DEG in strong magnetic field
- Solution of Schroedinger equation
- Gauge invariance, Landau gauge
- Landau levels degeneracy, quantum of flux
- Shubnikov de Haas (SdH) oscillations
- Laughlin’s argument
- Corbino ring, Origin of the plateaux, effect of electric field, inclusion of spins of electrons
- Role of disorder, edge states, topological insulator
- Hall conductivity
- Linear response theory, derivation of Kubo formula, choice of gauge potentials
- Hall conductivity and Chern number
- Topological considerations
- Gauss-Bonnet theorem
- Berry connection and Berry curvature
- IQHE revisited in Graphene and 2D Dirac materials, quantization of the plateaus
- Graphene nanoribbon.
- Fractional Quantum Hall effect (FQHE)
- QHE at non-integer filling fractions
- Role of Coulomb interactions, Laughlin wave function
- Symmetric gauge,
- Lowest Landau level,
- Fractional Statistics, Fractional charge, Anyons, Braiding statistics
- Spin Hall effect
- Spin Orbit coupling
- Spin Hall effect, application to spintronics, real materials
- HgTe-CdTe quantum wells
Instructors
Articles
18 Sep'21, 05:44 AM
18 Sep'21, 05:44 AM