PHY 556
Solid State Physics II
Spring 2009
???
Instructor: Prof. Vladimir Korepin,
Office: 6-116B
Phone: 2-7981
E-mail:
korepin@insti.physics.sunysb.edu
Web page:
http://insti.physics.sunysb.edu/~korepin/
Bulletin description:
Main idea of the course is application of methods of quantum field theory to solid state physics.
The course will start with introductory material. The course will addresses several aspects of modern solid state physics such as a) superconductivity, including Josephson junctions , b) the fractional quantum Hall effect and models of interacting anyons [including one dimesion], c) models of interacting spins in one and two dimensions such as VBS and Bethe Ansatz, d) srongly correlated electrons [including charge and spin separation] and Hubbard model e) application of solid state physics to quantum computation f) quasi-crystals.
Only enrolled students can attend.
Prerequisite:
Grad course of quantum mechanics or permission of instructor.
Grading:
Two midterm exams and final exam. Self graded homeworks.
Topics to be included
- Second quantization and quasiparticles
- Quasiparticles and spin waves
- Second quantization
- Electron gas
- Some applications
- Hartree-Fock approximation
- Electron gas
- Linear response
- Non-perturbative phenomena
- Spin-charge separation in one dimension
- Hubbard Model
- Interacting quantum spins
- Models of Anyons
- Quantum Hall effect
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 )
-
Homework 4 (due on Friday, Mar 28)
(PDF )
-
Homework 5 (due on Wednesday, Apr 23)
(PDF )
-
Homework 6 (due on Friday, May 2)
(PDF )
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Homework 7 (optional, due on Monday, May 12)
(PDF )
Required Book
-
A. M. Tsvelik,
Quantum Field Theory in Condensed Matter Physics,
Cambridge UNiversity Press, 2003, ISBN-0 521 82284 X.
Recommended Books
-
G. D. Mahan,
Many Particle Physics (Physics of Solids and Liquids),
Springer; 3nd edition, 2007, ISBN-10: 0306463385, ISBN-13: 978-0306463389.
-
Girvin, Ady Stern
-
M.Takahashi,
Thermodynamics of exactly solvable models,
Cambridge University Press, ?.
-
V.E. Korepin, N.M. Bogoliubov, A.G.Izergin,
Quantum Inverse Scattering Method and Correlation Functions,
Cambridge University Press, 1993, ISBN-0 521 37320 4, 0 521 58646
-
F.Essler, H.Frahm, F. Goehmann, A.Kluemper and V.Korpein ,
The One-Dimensional Hubbard Model,
Cambridge University Press, 2005, ISBN-521 80262 8
- volume 8 of Landau/Lifshits
- E. Fradkin; Negele-Orlando;Tsvelik,
M. Stone
Last updated: July 10, 2009