Place: Time: Instructor: Office: |
2223
Chamberlin Hall 9:55 AM - 10:45 PM, MWF Maxim G. Vavilov 5318 Chamberlin Hall |
Preliminary schedule of topics |
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Week 1 | ||
Wed. | 01/20 | Introduction. What is SOLID STATE PHYSICS? |
Fri. | 01/22 | Crystal structures. Bravais Lattice
and Primitive Vectors. Primitive unit cell. Wigner-Seitz cell. Simple
crystal structures. |
Week 2 | ||
Mon. | 01/25 | Types of lattices: simple, body-centered, and face-centered cubic lattices. Point groups. Space groups. Notations. |
Wed. | 01/27 | Types of lattices. Miller indices of lattice planes. |
Fri. | 01/29 | Diffraction and the reciprocal lattice. The first Brillouin zone. |
Week 3 | ||
Mon. |
02/01 |
The geometrical structure
factor. Examples: the reciprocal lattice and the Brillouin zone for
cubic lattices. |
Wed. | 02/03 | Crystal binding and elastic
constants. |
Fri. | 02/05 | Crystal vibrations. Phonons. |
Week 4 | ||
Mon. | 02/08 | Partition function and free enrgy.
Classical equipartition theorem. Phonon heat capacity |
Wed. | 02/10 | Anharmonicity. Thermal conductivity
by phonons. |
Fri. | 02/12 | Free electron gas. The Fermi-Dirak
distribution. |
Week 5 | ||
Mon. | 02/15 | Fermi energy and chamical potential.
Electronic heat capacity. |
Wed. | 02/17 | Electrical conductivity. The Hall
effect. Heat conductivity. |
Fri. | 02/19 | Nearly free electron model in a
periodic potential. The Bloch's theorem. |
Week 6 | ||
Mon. |
02/22 |
Band theory of solids. Density of states. |
Wed. |
02/24 |
Calculation of Energy bands and Fermi surfaces. |
Fri. | 02/26 | Tight-binding theory A&M:Ch10. Interaction of electrons in metals:
screening K:p.403. |
Week 7 | ||
Mon. | 03/01 | Interaction of electrons in metals:
scattering rate, exchange. |
Wed. | 03/03 | The semiclassical description of electron dynamics. |
Fri. | 03/05 | The Boltzmann kinetic equation. |
Week 8 | ||
Mon. | 03/08 | Introduction to Superconductivity. (away) |
Wed. | 03/10 | Elementary properties of superconductors (phenomenology). |
Fri. | 03/12 | Type I and II superconductors. Josephson effect and Josephson Junctions. |
Week 9 | ||
Mon. | 03/15 | Microscopic theory of superconductivity. |
Wed. | 03/17 | Mid-term exam I. (away) (solutions) |
Fri. | 03/19 | High-Tc superconductors. New materials. Iron-based superconductors. |
Week 10 | ||
Mon. | 03/22 | Superconductors in magnetic fields. Type I and II superconductors. |
Wed. | 03/24 | Dielectric properties of insulators. Polarization. |
Fri. | 03/26 | Dielectric susceptibility, permittivity, and dielectric constant. |
Week 11 | ||
Mon. | 04/05 | Introduction to semiconductors. |
Wed. | 04/07 | Intrinsic semiconductors and defects in crystals. |
Fri. | 04/09 | Semiconductors energy bands and electrical conduction. |
Week 12 | ||
Mon. | 04/12 | Propagation of charge carriers in semiconductors. Carrier concentration. |
Wed. | 04/14 | Conductivity of semiconductors. Doping. |
Fri. | 04/16 | Mid-term exam II. (away) |
Week 13 | ||
Mon. | 04/19 | Magnetic moment. Diamagnetism and paramagnetism of electron gas. |
Wed. | 04/21 | Langevin theory. Magnetization. Weiss molecular field. |
Fri. | 04/23 | Ferromagnetism. Spin waves.
Antiferromagnetism. Ising model. |
Week 14 | ||
Mon. | 04/26 | Nanostructures and mesoscopic phenomena. |
Wed. | 04/28 | Universal conductance fluctuations.
Random matrix description. |
Fri. | 04/30 | Quantum dots and Coulomb blockade. |
Week 15 | ||
Mon. | 05/03 | 1-d systems. Luttinger liquid.
Nanotubes. |
Wed. | 05/05 | 2-d systems. Quantum Hall Effect.
Graphene. |
Fri. | 05/07 | Overview. Conclusions. |
Week 16 | ||
|
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Final exam: Take-home exam |
Homework 1 due Feb. 8 | (solutions) |
Homework 2 due Feb. 22 | (solutions) |
Homework 3 due Mar. 8 | (solutions) |
Homework 4 due Apr. 5 |
(solutions) |
Homework 5 due Apr. 19 |
(solutions) |
Homework 6 due May 3 |
(solutions) |
Final Exam due May 12 |