PHZ7428: Modern Condensed Matter Physics, Spring 2016

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PHZ7428: Modern Condensed Matter Physics

Monday, Wednesday, Friday, 11:45 a.m.-12:35 p.m., NPB 1200

Instructor: Dmitrii Maslov

2114 NPB 352.392.0513 maslov@phys.ufl.edu

Office hours: Tueday and Thursday, 3:00 p.m.-4:00 p.m.

Main Text

E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics: Theory of the Condensed State (Course of Theoretical Physics Vol. 9)

Supplementary texts

  • A. A. Abrikosov, L. P. Gor'kov, I. E. Dzyaloshinskii,  Methods of Quantum Field Theory in Statistical Physics
  • A. Atland and B. Simons, Condensed Matter Field Theory*
  • H. Bruus and K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics
  • S. Doniach and E. H. Sondheimer, Green's Functions for Solid State Physicists
  • E. Fradkin, Field Theories of Condensed Matter Physics*
  • G. Mahan, Many-Particle Physics
  • N. Nagaosa, Quantum Field Theory in Condensed Matter Physics*
  • N. Nagaosa, Quantum Field Theory in Strongly Correlated Electron Systems*
  • A. Tsvelik, Quantum Field Theory in Condensed Matter Physics*
  • X.-G. Wen, Quantum Field Theory of Many-Body Systems*

* indicates a more advanced text

Topics

  • Green's functions for Fermi and Bose systems: time-ordered, Matsubara, retarded/advanced, Keldysh
  • Self-energy, vertex part, polarization bubble, Feynman diagrams
  • Kubo formulas: conductivity, charge/spin susceptibilities, etc.
  • Interacting fermions: perturbation theory, random-phase approximation, screening, plasmons, Friedel oscillations, ferro/antiferromagnetism, Fermi-liquid theory, Mott insulator
  • Quantum phase transitions, non-Fermi liquids
  • Electrons in a random potential: weak localization, Aharonov-Bohm effect, Anderson localization
  • Superconductivity: electron-phonon interaction, Cooper pairing, BCS theory of superconductivity, Eliashberg theory, Kohn-Luttinger instability, unconventional superconductors
  • Quantum magnets: Ising and Heisenberg models, Kondo effect, spin liquids

Required work

  • Homework          50 % 
  • Midterms             20 %
  • Final (inclusive)   30%

Class schedule

No classes:

  • Jan 6 (instructor's travel. Make-up TBA)
    Jan 18 (MLK Day)
    Feb 29-March 4  (UF spring break)
  • Last day of classes: Wednesday, April 20
  • Final exam: TBA

Grading policy

  • Here are the guidelines for your final grade, as a percentage of the total number of points:
    85-100 A
    82-84  A-
    65-81 B/B+
    50-64 C/C+
    40-49 D/D+
    0-39 F
    Depending on the overall performance of the class, these numbers may be lowered but not raised.

"Units rule"

an algebraic solution to each problem MUST be accompanied by the dimensional analysis of the result. 
Without such an analysis, you will get no more than 75% of the credit, even if the solution is otherwise correct. On the other hand, if you do not know how to solve the problem but construct an approximate result, using just the dimensional analysis, you may get up to 25% of the credit.

Academic Honesty

All students are required to abide by the Academic Honesty Guidelines accepted by the University. Consistent with the University policy, any incident of academic dishonesty in this course will be reported to the Dean of Students Office. It is normal and reasonable for students in a Physics course to work together on homework assignments. However, following the normal practices of co-authorship accepted in academic institutions, yo must list all people, who you collaborated with on a particular assignment. This Instructor defines academic dishonesty as plagiarism (including copying solutions from Internet sources), fabricating data (for example, ''fixing" a solution so that it gives the correct answer), giving or receiving any unauthorized assistance on academic work, and interfering with the academic work of other students. Supplying a false or fabricated excuse for missed academic work is also academic dishonesty. If the incident is the student's first offense at UF, the student will receive a reduced or failing grade in PHZ7428. Otherwise, the Dean of Students Office will decide on the appropriate sanction.

Students with disabilities

Students with disabilities are more then welcome to this class. Should such students be requesting special classroom accommodation, they must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.

Course Summary:

Course Summary
Date Details Due