| Date | Number | Lecture notes
|
| Jan. 15
| Lecture 1
| Independent electrons and the Drude model (AC and DC conductivity)
|
| Jan. 17
| Lecture 2
| Drude model continued (Hall effect, thermal conductivity) and its failures; quantum treatment of particle-in-a-box
|
| Jan. 22
| Lecture 3
| Free electron gas: density-of-states, ground state properties and the Fermi-Dirac distribution
|
| Jan. 24
| Lecture 4
| Free electron gas: Sommerfeld expansion, chemical potential, heat capacity and transport coefficients
|
| Jan. 29
| Lecture 5
| Describing and classifying infinite lattices in real space
|
| | Supplemental (summary of central points)
|
| Jan. 31
| Lecture 6
| Reciprocal lattices I: Motivation, definition, and interpretation as a Bravais lattice, inverse and Fourier transform of the direct lattice
|
| | Independent proof of Poisson summation formula Also laid out in Appendix A of Marder.
|
| Feb. 5
| Lecture 7
| Reciprocal lattices II: Brillouin zones, interpretion as families of planes, diffraction
|
| | Scattering from a multi-atom basis: definition of the form factor
|
| Feb. 7
| Lecture 8
| Phonons I: derivation of classical equations of motion, the elastic matrix, the dynamic matrix, and allowable wavevectors.
|
| Feb. 14
| Lecture 9
| Phonons II: monatomic and diatomic 1D chains, acoustic vs optical modes
|
| Feb. 19
| Lecture 10
| Phonons III: chains cont'd, quantum theory of phonons, creation and annihilation operators
|
| Feb. 21
| Lecture 11
| Phonons IV: phonon specific heat, Einstein model, Debye model, introduction to inelastic neutron scattering
|
| Feb. 26
| Lecture 12
| Inelastic neutron scattering cont'd, neutron spectrometers, electrons in a periodic potential I: nearly free electrons
|
| Feb. 28
| Lecture 13
| Electrons in a periodic potential I: nearly free electrons, bands, conventions for describing dispersion relations, metals vs insulators
|
| March 5
| Lecture 14
| Electrons in a periodic potential II: Bloch's theorem, equivalence of two presentations, proof, reduced zone scheme and mode counting
|
| March 7
| Lecture 15
| Electrons in a periodic potential III: Bloch's theorem cont'd- definition of k, reduction to 1st BZ, effective Hamiltonian; tight-binding in the 2-atom case
|
| March 12
| Lecture 16
| Electrons in a periodic potential IV: tight-binding on a lattice- ansatz wavefunction, variational calculation of dispersion, 1D chain solution
|
| March 26
| Lecture 17
| Electrons in a periodic potential V: tight-binding cont'd- examples in 1D,2D,3D, salient points, Wannier functions
|
| March 28
| Lecture 18
| Electrons in a periodic potential VI: Wannier functions cont'd, properties of Bloch electrons, intro to semiclassical theory
|
| April 2
| Lecture 19
| Semiclassical theory II: group velocity, effective mass tensor, Bloch oscillations, motion in a magnetic field
|
| April 4
| Lecture 20
| Semiclassical theory III: cyclotron mass, de Haas- van Alphen oscillations, ARPES
|
| April 9
| Lecture 21
| Semiconductors I: defintion of a semiconductor, experimental signatures, electrons and holes, equations of motion
|
| April 11
| Lecture 22
| Semiconductors II: concentration of carriers, chemical potential, law of mass action, dopants and bound states
|
| April 16
| Lecture 23
| Semiconductors III: occupation of bound state levels, intrinsic and extrinsic limits, alloying, 2DEGS
|
| April 18
| Lecture 24
| Semiconductors IV: pn-junctions, diodes, solar cells and transistors
|
| April 23
| Lecture 25
| Magnetism I: magnetization, susceptibility, Hamiltonian in a field, Pauli paramagnetism, Larmor diamagnetism
|
| April 25
| Lecture 26
| Magnetism II: local moments and total angular momentum J, Hund's rules, Van Vleck paramagnetism, Curie paramagnetism
|
| April 30
| Lecture 27
| Magnetism III: magnetic interactions, ferromagnetic order (mean field), Curie-Weiss paramagnetism
|
| - | - | - |
*Bonus lecture*
| (not exam material)
| Integer Quantum Hall Effect
|