Quantum Hall Effect

This lecture covers the semi-classical equations of motion for electrons in a homogeneous magnetic field, the trajectories in k-space, and the concept of Quantum Hall Effect (QHE). It explains the quantization of conductance, the Landau levels, and the phenomenon of QHE without a magnetic field. The instructor discusses the Nobel Prize-winning discoveries related to QHE and the Chern insulator. The lecture also delves into the energy levels of quantum particles in a magnetic field and the corresponding energies for free electrons. It concludes with the principles of Bohr holding in real solids and the periodicity observed in level populations and related properties.