Early History of Metal Theory

1. 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 Chapter 1: The Free Electron Fermi Gas

2. Electron Distribution Functions : The probability of occupation of the state with energy E The Maxwell-Boltzmann distribution (classical): The Fermi-Dirac distribution (quantum):

3. Thermal Properties of the Electron Gas F-D gas M-B gas

4. Electronic Specific Heat Electronic density: Average energy: Specific heat: classical result:

5. Specific Heat of Metals electronic lattice

6. 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 Chapter 1: The Free Electron Fermi Gas

7. DC Electrical Conductivity Ohm’s law: A vdt Ne(vdt)A electrons cross an area A in a time dt.

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