Early History of Metal Theory

1
Chapter 1 The Free Electron Fermi Gas

• Early History of Metal Theory
• 1900-1930 (Drude, Lorentz, Fermi, Dirac, Pauli,
  Sommerfeld, Bloch, )
• The Basic Hamiltonian
• Approximations Assumptions
• The Ground State (T 0)
• Wave-functions, allowed states, Fermi sphere,
  density of states
• Thermal Properties
• Expectation values, energy, specific heat
• Electrical Transport Properties
• DC and AC conductivities
• Magnetic Properties
• Classical Hall effect, Pauli paramagnetism,
  Landau diamagnetism, cyclotron resonance, the
  quantum Hall effect

2
Electron Distribution Functions
3
Thermal Properties of the Electron Gas
4
Electronic Specific Heat
5
Specific Heat of Metals
6
Chapter 1 The Free Electron Fermi Gas

• Early History of Metal Theory
• 1900-1930 (Drude, Lorentz, Fermi, Dirac, Pauli,
  Sommerfeld, Bloch, )
• The Basic Hamiltonian
• Approximations Assumptions
• The Ground State (T 0)
• Wave-functions, allowed states, Fermi sphere,
  density of states
• Thermal Properties
• Expectation values, energy, specific heat
• Electrical Transport Properties
• DC and AC conductivities
• Magnetic Properties
• Classical Hall effect, Pauli paramagnetism,
  Landau diamagnetism, cyclotron resonance, the
  quantum Hall effect

7
DC Electrical Conductivity
8
Mobility me
High density (metals)
High conductivity
Long t
High mobility (semiconductors)
Light m
9
AC Electrical Conductivity
10
Propagation of an Electromagnetic Wave in a Metal
and
11
The Plasma Edge
Plasma freq.
12
Plasma Edge in Metals