(Many Body Perturbation Theory in Solids)
Spring Semester 2005

course web page
Instructor: Philip B. Allen (
office Physics B-146
The class will meet in Physics B-131, MWF 10:40-11:35 am

Diagrams with interaction (shown as zigzag lines) contributing to conductance fluctuations. The left diagram is included in the diffuson, whereas the right diagram is not.  The difference of inelastic rates between weak localization and conductance fluctuation is a consequence of the missing diagram. I. L. Aleiner and Ya. M. Blanter, Phys. Rev. B 65, 115317 (2002).

Contours for evaluating the response function (Doniach and Sondheimer, p. 226.  Either the long vertical contour or the two circular contours may be used.
course schedule
midterm exam -- none
final exam  -- none
Notes (pdf format)
 notes #1 (linear response)
 notes #2 (Poisson sum formula)
 notes #3 (electrical conductivity)
assignment schedule  book list
Tat-Sang Choy's Fermi surface
data base; periodic table of the
Fermi surfaces.


Bulletin Description:  The course focuses on the many-particle aspects of solid state physics addressing classical topics such as superconductivity and the transport properties of disordered conductors, as well as more modern subjects including the fractional quantum Hall effect, dissipative quantum mechanics, and problems of mesoscopic physics. Both phenomenological and theoretical descriptions are discussed. Spring, 0-3 credits, ABCF grading

Prerequisite: Phy 555 or permission of instructor

Syllabus for Spring 2005

I. Aims of the course: The main topic is perturbation theory in many body systems.  The philosophy is to use the theory to describe real phenomena in solids, and to use simple model systems as guides to understanding real data.  The course will follow the text closely, including the topics of X-ray singularities, the Kondo problem, and superconductivity.

II. Procedures and Requirements: There will be homework problems assigned (6 problem sets over the semester.)

III. Grading: The grade will be based on homeworks.

IV. Required text: Quantum Theory of Many-Particle Systems by A. L. Fetter and J. D. Walecka, Dover, ISBN:  0486428273.

V. Supplemental texts: Methods of Quantum Field Theory in Statistical Physics, A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski, Dover ISBN:  0486632288
                                        A Guide to Feynman Diagrams in the Many-Body Problem, Richard D. Mattuck, Dover, ISBN:  0486670473

VI. Academic Honesty:  Discussions with fellow students are strongly encouraged, but work which is submitted for grading must be in your own words.  You should review the definition of plagiarism.

VII.Americans with Disabilities Act: If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748.  They will determine with you what accommodations are necessary and appropriate. All information and documentation is confidential.

Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site.