Week 5

Lecture 9, 19 February, 13.15-15.00, FL51

Semi-classical dynamics of the Bloch electrons.
Electrons in magnetic field.

Reading

A&M: Chapter 14 (p. 264-271).

Review questions

1. Write down the semi-classical equation of motion for the velocity and crystal momentum.
2. What are Bloch oscillations? Derive a period and amplitude of the Bloch oscillations
3. Describe the motion of an electron in a crystal in a constant magnetic field.
4. What is Landau quantization? Derive quasiclassical quantization equation for Bloch electrons in a magnetic field.

Lecture 10, 21 February, 10.00-12.00, FL51

Electrons in magnetic field. Diamagnetism of free electrons. De Haas - van Alphen oscillations.

Reading

Review questions

1. Calculate diamagnetic response of free electrons. Explain why diamagnetism of free electrons is essentially quantum effect.
2. What is the reason for magnetization oscillations? What is the period of the oscillations?