2019  2020  
03214409  Condensed Matter Theory 1  

FACULTY OF EXACT SCIENCES  

Condensed Matter Theory 1 Syllabus
Instructor: Eran Sela
Email: eranst@post.tau.ac.il
Academic Year 2019/2020, 1nd semester
Number of Hours/ Credits :4
Mandatory for CondMat MSc Students
1st year MSc; given every year
Course overview – short abstract
Semiclassical theory of solid state: phonons and electrons. ee interactions, screening and Fermi liquid theory. Semiclassical dynamics, eph interactions, Boltzmann equation. BCS theory of Superconductivity
Assessment: coursework and grade structure
Final exam – 90% Weekly exercises  10%
Weekbyweek content, assignments and reading
Week 1: Introduction, Bloch theorem
Week 2: Brillouin zones, phonons as Goldstone bosons
Week 3: Phonons – heat capacity, density of states
Week 4: Scattering from a dynamical lattice, MerminWagner theorem, Anaharmonic lattice effects
Week 5: Electronic band theory – tight binding, Nearlyfree electrons
Week 6: ee interactions: HartreeFock; screening, plasmons
Week 7: Fermiliquid theory: lifetime of an electron, heat capacity, compressibility
Week 8: Fermi liquid theory: magnetic susceptibility, effective mass, Mott transition, zero sound
Week 9: Semiclassical dynamics
Week 10: Boltzmann's equation: conductivity, thermoelectric effects, anomalous skin effect. Magnetic fields: resonance, deHass vanAlphen effect.
Week 11: Adiabatic approach for eph interactions, dialectric function of electrons in a lattice; Relaxation time, resistance as a function of T
Week 12: Intro to superconductivity; Cooper pairs; BCS theory
Week 13: BCS theory (mean field, excitations, gap vs. T)