PHY 556
Solid State Physics II
Spring 2008
MWF, 9:40am-10:35am in Physics B-131
The class is over. Congratulations!
Final grades are submitted to Solar on May 18, 2008.
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
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Homework 1 (due on Friday, Feb 15)
(PDF )
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Homework 2 (due on Friday, Feb 29)
(PDF )
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Homework 3 (due on Monday, Mar 10)
(PDF )
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Homework 4 (due on Friday, Mar 28)
(PDF )
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Homework 5 (due on Wednesday, Apr 23)
(PDF )
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Homework 6 (due on Friday, May 2)
(PDF )
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Homework 7 (optional, due on Monday, May 12)
(PDF )
Required Book
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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.
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R. D. Mattuck,
A Guide to Feynman Diagrams in the Many-Body Problem,
Dover Publications; 2 edition, 1992, ISBN-10: 0486670473,
ISBN-13: 978-0486670478.
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G. D. Mahan,
Many Particle Physics (Physics of Solids and Liquids),
Springer; 3nd edition, 2007, ISBN-10: 0306463385, ISBN-13: 978-0306463389.
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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, 2006, ISBN-10: 0521845084, ISBN-13: 978-0521845083.
Last updated: May 18, 2008