PHY 556
Solid State Physics II
Spring 2012
TuTh, 9:50am-11:10am in Physics B-131
Instructor: Dr. Alexander (Sasha) Abanov,
Associate Professor
Office: B-102
Phone: 2-8174
E-mail:
alexandre.abanov@sunysb.edu
Web page:
http://felix.physics.sunysb.edu/~abanov/
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 mesoscoptic physics. Both phenomenological and theoretical descriptions are discussed. Spring, 0-3 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
- Hartree-Fock 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
- Non-perturbative phenomena
- Bosonization and spin-charge 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: Hartree-Fock, 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 Many-Particle Systems,
Dover Publications, 2003, ISBN-10: 0486428273, ISBN-13: 978-0486428277.
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, ISBN-10: 0486632288,
ISBN-13: 978-0486632285.
-
H. Bruus and K. Flensberg,
Many-Body Quantum Theory in Condensed Matter Physics: An Introduction (Oxford Graduate Texts),
Oxford University Press; 2004, ISBN-13: 978-0198566335.
-
G. D. Mahan,
Many Particle Physics (Physics of Solids and Liquids),
Springer; 3nd edition, 2007, ISBN-10: 0306463385, ISBN-13: 978-0306463389.
-
J. W. Negele and H. Orland,
Quantum Many Particle Systems (Advanced Book Classics),
Westview Press; New edition, 1998, ISBN-10: 0738200522,
ISBN-13: 978-0738200521.
-
A. Altland and B. Simons,
Condensed Matter Field Theory,
Cambridge University Press, 2nd edition, 2010, ISBN-10: 0521769752, ISBN-13: 978-0521769754.
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) 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
http://studentaffairs.stonybrook.edu/dss/
Last updated: May 3, 2012