Department of Physics, University of Maryland, College Park, MD
Course Title: Physics 731: Solid State Physics: Survey of Fundamentals
Instructor: Prof. Ted Einstein
Office: Physics Bldg. , Room 2310; Phone: (301) 405-6147
Course Description: As a survey course, Physics 731 treats a broad range of topics. The emphasis will be on fundamentals of the electronic and vibrational properties of solids and on unifying concepts, with the intention that students continue in Spring 2006 with Physics 798S (presuming it will be offered!), which will discuss superconductivity (esp. high Tc), so this will not be covered in Physics 731. Physics 731 will treat low-dimensional systems (surfaces, nanotubes, etc.), basics of semiconductors, etc. However, we are mindful that previous attempts to cover a large amount of material in one semester has proved frustrating to both students and instructors!
Time; Place: Tuesdays 2:00-3:25; Thursdays 3:15-4:30; Physics Bldg., Room 4220
Teaching Assistant/Grader: Tim Stasevich
Text: Solid State Physics, N. W. Ashcroft and N. D. Mermin (Saunders...-> Brooks Cole, 1976; ISBN 0030839939)--see reference list. This is a wonderful text but is a quarter century old. (It is nonetheless outrageously priced, so look for a used copy locally or online.) Students planning to specialize in Condensed Matter Physics should seriously consider purchasing a supplementary text of recent vintage. Several are listed on the bibliography.
Homework: There will be about ten homework assignments. They are a very important part of the course; to master the material generally requires doing problems conscientiously. But homework is not a take-home test: Students are encouraged to discuss the problems with each other after thinking about them alone, and to explore the physics behind the problems. However, each student should write answers individually. Late problem sets should be turned in directly to the TA. Solutions will be distributed/posted on the next lecture day ("deadline date") after the due date. Thereafter, no late problem sets can be accepted for credit. If we do not get a TA for this course, then
Grading: The course grade will be based primarily on total points, on the following basis if we have a TA:
Hour test ~29%
Final exam ~46%
The mid-term test will cover the first part of the course, the static and thermal properties of perfect lattices, and electronic properties of "jellium". The final exam will cover the remainder of the course, plus unifying ideas that make connections with material from the first part.
Grades are computed using a "curve," about half A's and half B's, with C's only for those falling well below par. For students a little below a grade threshold, class participation and/or improving scores and/or good performance on all but one component of the total can create a boost to the higher grade.
Samples of tests from former years will be provided.
The only acceptable excuses for missing a test are those established by the university: religious holiday, illness, or an official university event. You will need a written note on official stationery to establish your excuse. The mid-term test will be during class time in late October. The final is scheduled for Monday, December 19, 10:30 a.m.
Office hours: After class, by arrangement (email or phone), and to be announced.
Tentative Schedule: to be posted soon; look at Fall 2002 and 2004 sites for a rough idea
|DATE||STUDY||SKIM||TOPICS, KEYWORDS--see reading guide|
Intro, 2D Bravais
3D Bravais: primitive cell, Wigner-Seitz cell, basis, symmetries
Reciprocal lattice, 1st BZ, Miller indices, lattice planes
relaxation/reconstruction, x-ray diffraction (Bragg, Laue conditions), Ewald construction, structure factor
Classification of solids, packing fraction, ionic & covalent radii, cohesive energy, Madelung const, Evjen neutral shells
Lennard-Jones, Morse, universal potentials; Failure of static lattice; Classical harmonic lattice intro & 1D
Lattice modes, classical harmonic 3D lattice (No elasticity)
Quantum theory of harmonic lattice: phonons
|29||23, 24 (470-480)||
DOS, Measuring phonons, Raman
|6||24 (481-2), 25||
Anharmonic lattices, thermal expansion, lattice thermal conductivity, Umklapp
Drude model, electron thermal conductivity
Sommerfeld model (Lecture by Prof. H. D. Drew)
Sommerfeld conductivity, Bloch's theorem, crystal momentum, start nearly-free electron model
Nearly-free electron model
Tight-binding, computing band structure, OPW, pseudopot
|27||11: figs 2&3 + 208-9||
Review based on questions; start semiclassical dynamics
Midterm (through Sommerfeld model, so covered parts of chaps. 1-7, 19-25)
Semiclassical dynamics, eff. mass, holes
Measuring Fermi surface, de Haas-van Alphen, Landau levels
Semiconductors: gap, eff. mass, MB statistics, hydrogenic levels
Inhomogeneous semiconductors, pn junctions
Correlation effects, HF, exchange, Lindhard, DFT, LDA
31 (661-664,666); 32 (674-685, skim 686-688)
Pauli paramagnetism, Landau diamagnetism, exchange & Heisenberg model, spin-density-waves, Wigner crystal (done earlier), Hubbard model, Kondo model
|Dec. 1||33 (701-708,715-721, skim 694-698); 26 (518-519)||
Heisenberg model ground state & spin waves; mean field theory, domains and domain walls; phonon modification of el-el int'n
Electron mean free path; surface effects, work function, LEED, STM, AFM, MFM, UPS, ARPES, EXAFS
|13||26 (523-526,skim 519-522)||Electron-phonon interaction in metals & Bloch T^5 law|
|19||FINAL EXAM (10:30-12:30)|
Omitting: quasicrystals, critical phenomena