conductivity of intrinsic and extrinsic semiconductors
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conductivity of intrinsic and extrinsic semiconductors
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Describe (You may use figures in your answer) the temperature dependence of
- a) Electron and hole mobility. (2pt)
- b) Electronic conductivity of metals using σ=Nµq. (3pt)
- c) Electronic conductivity of intrinsic and extrinsic semiconductors using σ=Nµq. (4pt)
- d) Electronic conductivity of ionic insulators using σ=Nµq. (3pt)
- e) Draw and explain the I-V curve for a p-n junction. (4pt)
- f) In what materials can you observe the phenomenon below? Briefly explain it. (2pt)
Magnetism
- a) Based on χ (or µ), define/classify the magnetic materials into the diamagnetic, paramagnetic, and ferromagnetic materials. (3pt)
- b) What contributes to diamagnetism and paramagnetism? Do they have temperature dependence? (4pt)
- c) Describe the hallmark of ferroelectricity and ferromagnetism (you may draw figures). (2pt)
- d) For the contributions you listed in (b), which should be interpreted with quantum mechanics? And why quantum mechanics has advantages over the classical physics? (3pt)
- e) For the material with the electronic band structure shown below, is it diamagnetic or paramagnetic? Provide your justification. (3pt)
Thermal properties
- a) Explain why quantum physics should be used to interpret materials’ thermal capacity. What are the main factors that will determine the thermal capacity? (3pt)
- b) What is the advantage of Debye Model over Einstein Model in terms of the thermal capacity? (2pt)
- c) Why theoretical results from the basic free electron model do not agree with most experimental data for conductors’ thermal capacity? (2pt)
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