P451 Advanced Solid State Physics

Course No: 
P302 (Quantum Mechanics II), P306(Introduction to condensed matter Physics), P475 (Special topic in Quantum Mechanics)

(42 Lectures + 14 Tutorial)

  1. Introduction to Fermi liquid theory, quasiparticle, spectral function properties and metal to insulators transitions. Idea of non Fermi liquid metals.
  2. Local moment formation and suppression in metals.
  3. Collective excitations: screening and plasma oscillations, spin waves and magnons.
  4. Electrical and optical properties of Fermi liquid metals and Mott insulators
  5. Charge impurity in a metal andFriedel oscillation
  6. Magnetic impurity in a metal: quenching of local moments (Kondo effect)
  7. Electron phonon interaction: electrical conduction, sound propagation and ultrasonic attenuation.
  8. QuantumHall Effect: Landau levels, role of disorder, Laughlin states and composite fermions (time permitting), introduction to topological protection and Chern insulators.
  9. Band theory and simple topological insulators.
  10. Quantum phase transition: Quantum rotor model, mean field solution, scaling and transport properties.
Reference Books: 
  1. Concepts in Solids by P. W. Anderson
  2. Advanced Solid State Physics by P. Philips
  3. Elementary Excitations in Solids by D. Pines
  4. Introduction to Many-Body Physics by P. Coleman
  5. Lecture Notes on Electron Correlation and Magnetism by P. Fazekas
  6. Condensed Matter Physics by M. P. Marder
  7. Strong Fermion Interactions in Fractional Quantum Hall States: Correlation Functions by S. Mulay,  J.J. Quinn, M.Shattuck
  8. Composite Fermionsby Jainendra K. Jain
  9. Quantum phase transition by Subir Sachdev
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