Course outline: The outline will be available soon.
Class timings: 3:30 to 4:45 pm, Tuesday and Thursday, Room: 302 SSE Complex.
Class timings: 2:00 to 3:00 pm, Monday and Wednesday, Room: 9-103A (Dr. Sabieh’s office) SSE Complex.
Pre-mid term
1: Isolated magnetic moments and paramagnetism (3 lectures)
- Magnetic moments, Spin 1/2 particle, Spin j system, Paramagnetism, temperature and magnetic field dependence, forces on moments, torque on moments, Bloch equation, relaxation, quantum mechanics description of magnetic resonance phenomena (Stohr: Chapter 3) | Homework 1
2: The exchange interaction (4 lectures)
- A bird’s eye view of interactions: Zeeman, dipolar, exchange, spin-orbit, hyperfine, magnetic phenomena, the symmetrization pustulate, exchange interaction explained by electrons in the helium atom, the hydrogen molecule and exchange in chemical bonds. Here is a description on the origin of exchange for the two electrons inside the He atom; taken from Sakurai’s “Modern Quantum Mechanics”. (Stohr: Chapter 6, Sections 6.1, 6.2, 6.3.1 to 6.3.4) | Homework 2
3: The exchange Hamiltonian (5 lectures)
- The exchange Hamiltonian and examples, spin waves and magnons in ferromagnetic and antiferromagnetic structures, second quantization treatment, Fourier and Holstein-Primakoff tarnsformations, the Bogoluibov transformation, density of states for magnons, magnon number, energy and heat capacity due to magnons. See Frank Kruger’s notes (Chapter 4 here.) | Homework 3 and Homework 4.
4: Magnetism in free and almost-free electrons (4 lectures)
- The free electron model, Pauli paramagnetism, Landau quantization, density of states in the presence of a magnetic field, magneto-oscillatory phenomena.