Welcome to the Fall 2017 web page for PHYS561

 

Physics 561 Course Syllabus

Fall 2017 

T, Th 11:00-12:20 Room 158 Loomis

Instructor: P. Phillips, Rm. 2121 ESB

 

Textbook: P. Phillips, Advanced Solid State Physics, 2nd Edition

Cambridge University Press, 2017

 

Office Hours:

 

Philip Phillips (2121 ESB) :  T: 2:30-3:30

 

Christian Boyd (4121 ESB):  F 12-1 

 

 

A. Many-Body Methods

  1. Introduction: Spontaneous Symmetry Breaking
  2. Free-electron Gas
  3. Tight-binding
  4. Born-Oppenheimer Approximation
  5. 2nd Quantization and Field Operators
  6. Hartree States/Hartree-Fock           Approximation/Koopman’s Theorem
  7. Interacting Electron Gas
  8. Beyond H.F./Wigner Interpolation

 

B. General Many-Body Phenomena

  1. Phenomenology on Local Magnetic Moments in Metals
  2. Green Functions
  3. Anderson Model
  4. Mean Field Solution Using Equations of Motion
  5. Relation to Kondo Model
  6. Kondo problem, scaling and all that
  7. Plasma Oscillations
  8. RPA
  9. Dielectric Response Function e(k,ω)
  10. Stopping Power of a Plasma
  11. Phonons and e-phonon Interaction
  12. Ultrasonic Attenuation
  13. Electrical Conduction (Drude Formula,
    et al. . . . )
  14. Boltzmann Transport Equation, Hydrodynamic Limit, Sound Propagation
  15. Bosonization of Electron Gas
  16. Luttinger liquids
  17. Fermi Liquid Theory, Luttinger's non-theorem

C. Superconductivity

  1. General Properties of Type I and Type II Superconductors
  2. London Equations
  3. Energy Gap, Penetation Depth, Ultrasonic Attenuation
  4. NMR (Hebel-Slichter Peak)
  5. BCS Model
    a. Phonon-induced Cooper Pair
    Formation

    b. Global Pair State
    c. Normal Ground State Instability        
    d. Gap Equation

    e. Quasi-particle Excitations
    f. Thermodynamics
    g. Nuclear Spin-lattice Relaxation

 

D. Localization and Quantum Hall physics

  1. Anderson Localization
  2. Weak Localization
  3. Integer Quantum Hall Effect
  4. Topological Insulators
  5. Fractional Quantum Hall Effect

 

E. Course Requirements

  1. Five Homework Sets (approximately) (1/3 of grade)
  2. Take-home midterm (1/3 of grade)
  3. Take-home Final (1/3 of grade)

LECTURES AND HOMEWORK LINKS

HW1:  Due Sept.  12, 2017

Problems 2.1, 2.2, 3.1

 

HW2:  Due Sept. 21, 2017

Problems: 4.1, 4.2, 5.1, 6.1, 6.2, 6.4, 6.5

HW 3: Due Oct.  12, 2017

Problems: 7.2,7.3,7.4, 8.1,8.2,8.3

Link to Nozieres FL paper on the Kondo ground state:

https://link.springer.com/article/10.1007%2FBF00654541

HW4: Due Dec. 5:  11-1, 11-2, 12-4, 12-6, 12-7

Final Exam: Due 12-21-2017 at 5:00 pm.

Problems in Text: 6.6,12.8,12.9, 13.1,13.5, 15.1,

 15.2, 15.3 (replace Eq. (15.29) with Eq. (15.49)), 16.1, 16.3.