Physics 861: Solid State Physics
Syllabus

I. Band structure and its implications. Bloch theorem, nearly-free electrons, weak/strong coupling, statistics. Metals, insulators, and semiconductors and their properties. Particles and holes. Quasi-classical electron motion. References: AM (Chs. 9-15), Kittel (Chs. 7-9), Peierls (Ch. 4), Abrikosov (Ch. 1, Sec. 14.3).

II. Phonons: acoustic and optical modes, instabilities. Lattice specific heat and thermal conductivity. Measuring phonon dispersion relations. AM (Chs. 21 -24), Kittel (Chs 4-5).

III. Various types of ordering in crystals and liquid crystals. Role of thermal fluctuations and space dimensionality: LL1 (Ch. 13), Peierls, Surprises (Sec. 4.1).

IV. Defects in crystals: AM (Ch. 30), Kittel (Chs. 18, 20), ChL (Chs. 9, 10), Rosenberg (Ch. 4).

V. Phase transitions and critical phenomena - continuous and discontinuous transitions, Landau theory, fluctuations, domain walls, and spontaneous symmetry breaking, solid-liquid transition: LL1 (Ch. 14), ChL (Secs. 4.1, 4.2, 4.7.1, 10.2.1), Anderson (Ch. 2).

VI. Surfaces generally and properties of crystalline interfaces - elementary steps, surface tension of crystals, equilibrium crystal shapes, roughening phase transition, and crystal growth: LL1 (Ch. 15), ChL (Secs. 10.2.2, 10.6).

VII. Ferroelectricity: LL2 (Sec. 19), Anderson (Sec. 2.C).

VIII. Ferromagnetism and antiferromagnetism: microscopic origin and macroscopic theory, spin waves: LL2 (Ch. 5), LP (Ch. 8), Peierls (Ch. 8), Feynman (Ch. 7), AM (Chs. 32, 33), Kittel (Ch. 15).

IX. Superconductivity: Cooper effect and phonon-mediated attractive interaction between electrons, two types of superconductors, Abrikosov flux lines, pinning, Ginzburg-Landau theory: LL2 (Ch. 6), LP (Ch. 5), Abrikosov (Part II), De Gennes, Feynman (Ch. 10).

X. Weak superconductivity: ac and dc Josephson effects, Josephson vortices: LP (Sec. 50), Feynman (Ch. 10), Abrikosov (Sec. 22), De Gennes.