Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
Knowledge of the content of PHY302, PHY304 and PHY402 is
essential to follow this course.
- Introduction and Motivation: Energy, length and time scales in solid
state; complexity and emergent behavior; brief review of key concepts
in quantum mechanics and statistical mechanics.
- Second quantization: Quantum fields as creation and annihilation
operators; Fermi and Bose statistics; commutation and anticommutation
relations.
- Tight-binding models and their applications: one-band and multi-band
models; electronic structure and crystal lattices; metals and
insulators; magnetic materials.
- Transition metal compounds: spin, charge and orbital degrees of
freedom and their interplay; manganites; cuperates; pnictides.
- Phase Transitions: Examples of phase transitions; Ginzburg-Landau
approach; Renormalization group methods.
- Special Topics (some of them will be as term papers): Strong coupling
expansion; Monte-Carlo methods; Exact-diagonalization methods; BCS
theory of superconductivity; double-exchange and Kondo-lattice models;
Bose-Einstein condensation; Graphene and the quantum Hall effect.
- M. Tinkham, Introduction to Superconductivity, Dover
Publications (2004).
- C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute
Gases, Cambridge University Press (2008).
- G. D. Mahan, Many Particle Physics, Springer (2010).
- N. Goldenfeld, Lectures on Phase Transitions and the
Renormalization Group, Westview Press (1992).
- A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle
Systems, Dover Publications (2003).
- P. Fazekas, Lecture Notes on Electron Correlation and
Magnetism, World Scientific (1999).
- N. W. Ashcroft and N. D. Mermin, Solid State Physics, Brooks
Cole (1976).
