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Physics 664: Condensed Matter Theory: Many-Body Formalism

 

Course Outline


Band theory and electron correlations:, Single electron in a periodic potential, many electrons in a periodic potential, Hartree-Fock-LDA and beyond

Fermi liquid theory and elementary excitations: Quasiparticles and Landau parameters, thermodynamics of a Fermi liquid

Second quantization

Green’s functions: Green’sfunction and response functions, Dyson and Bethe-Salpeter equations,perturbation methods and Feynman diagrams, zero temperature versusfinite temperature formulations

Fermi liquid theory: microscopic formulation: Landau quasiparticles as poles of Green’s function, Landau parameters, conservation law and Ward identities

Quantum magnetism: Spin waves, spin path integral, quantum non-linear sigma model

Modern applications: Kondo effect, quantum phase transitions, non-Fermi liquids

 

Organization

Lectures T Th 10:50am - 12:05pm

Homework (60%)

Term paper (30%)

Presentation (10%)

Text

G. D. Mahan, Many-Particle Physics

A. Altland and B. Simons, Condensed Matter Field Theory

 

All information is representative only, and is likely to change from year to year.