PHY 556
Solid State Physics II
Spring 2012
TuTh, 9:50am11:10am in Physics B131
Instructor: Dr. Alexander (Sasha) Abanov,
Associate Professor
Office: B102
Phone: 28174
Email:
alexandre.abanov@sunysb.edu
Web page:
http://felix.physics.sunysb.edu/~abanov/
Bulletin description:
The course focuses on the manyparticle 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 mesoscoptic physics. Both phenomenological and theoretical descriptions are discussed. Spring, 03 credits, ABCF grading
Prerequisite:
PHY 555 or permission of instructor.
Grading:
There are no exams for this class. The final grade will be
based on the grades for homeworks.
Topics to be included
 Second quantization and quasiparticles
 Concept of quasiparticles
 Second quantization
 Degenerate electron gas
 Green's functions at T = 0
 Schroedinger, Heisenberg, and interaction representations
 Green's functions
 Wick's theorem
 Perturbation theory and Feynman diagrams
 Diagrammatics
 Some applications
 HartreeFock approximation
 Impurities and scattering
 Degenerate electron gas
 Linear response
 Green's functions at T ≠ 0
 Temperature Green's functions
 Wick's theorem for T ≠ 0
 Diagrammatics
 Some applications
 Real time Green's functions
 Retarded and advanced Green's functions
 Linear response
 Matsubara susceptibility and the theorem about analytic continuation
 Nonperturbative phenomena
 Bosonization and spincharge separation in one dimension
Homeworks

Homework 1 (due on Tuesday, February 14)
(PDF )
Second quantization.

Homework 2 (due on Thursday, March 1)
(PDF )
Green's functions for noninteracting Fermi gas.

Homework 3 (due on Thursday, March 15)
(PDF )
Wick's theorem.

Homework 4 (due on Tuesday, March 27)
(PDF )
Diagrammatics.

Homework 5 (due on Tuesday, April 17)
(PDF )
Simple computations: HartreeFock, ring diagrams.

Homework 6 (due on Tuesday, May 1)
(PDF )
Collective modes.

Homework 7 (not for credit)
(PDF )
Matsubara susceptibility and superconducting instability.
Required Book

A. L. Fetter and J. D. Walecka,
Quantum Theory of ManyParticle Systems,
Dover Publications, 2003, ISBN10: 0486428273, ISBN13: 9780486428277.
Recommended Books

A. A. Abrikosov, L. P. Gor'kov, and I. E. Dzyaloshinski,
Methods of Quantum Field Theory in Statistical Physics,
Dover Publications; Revised edition, 1975, ISBN10: 0486632288,
ISBN13: 9780486632285.

H. Bruus and K. Flensberg,
ManyBody Quantum Theory in Condensed Matter Physics: An Introduction (Oxford Graduate Texts),
Oxford University Press; 2004, ISBN13: 9780198566335.

G. D. Mahan,
Many Particle Physics (Physics of Solids and Liquids),
Springer; 3nd edition, 2007, ISBN10: 0306463385, ISBN13: 9780306463389.

J. W. Negele and H. Orland,
Quantum Many Particle Systems (Advanced Book Classics),
Westview Press; New edition, 1998, ISBN10: 0738200522,
ISBN13: 9780738200521.

A. Altland and B. Simons,
Condensed Matter Field Theory,
Cambridge University Press, 2nd edition, 2010, ISBN10: 0521769752, ISBN13: 9780521769754.
For your information.
If you have a physical, psychological, medical or learning disability that
may impact your course work, please contact Disability Support Services
(631) 6326748. 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
http://studentaffairs.stonybrook.edu/dss/
Last updated: May 3, 2012