Instructor: Piers Coleman, Room 268
If you have any questions about this course or the
homework, please do not hesitate to contact me via email
at : coleman@physics.rutgers.edu
Scope of Course. This course will provide an
introduction to strongly correlated electron
systems. Starting with a path-integral
approach to many body physics, we will revisit
superconductivity, going on to discuss itinerant
magnetism, anisotropic superconductivity, local
moment formation, the Kondo Lattice and the physics of
heavy fermion materials: metals, superconductors,
topological Kondo insulators and if we have time, quantum
criticality. The course will be based on the last
seven chapters of my book, "Introduction to Many-Body
Physics".
(Handbook of Magnetism and Advanced Magnetic
Materials. Edited by Helmut Kronmuller and Stuart
Parkin. Vol 1: Fundamentals and Theory. John Wiley
and Sons, 95-148 (2007).)
Here are some additional useful references:
Condensed Matter
Field Theory by Alexander Altland
and Ben Simons.(CUP,
2006)
An excellent introduction to Field Theory applied
in condensed matter physics.
Advanced Solid State Physics by Philip
Phillips, second edition (CUP, 2012).
Basic Notions in Condensed Matter Physics by
P. W. Anderson, Benjamin Cummings 1984. A classic
reference. Many of us still turn to this book for
inspiration, and philosophy. It also has a fine
selection of important reprints at the back.
Quantum
Field Theory in Condensed
Matter Phyiscs, A.
M. Tsvelik, Cambridge University
Press, 2nd edition (2003).
R. Shankar, Rev Mod Phys 66 129 (1994).
An amazingly self-contained review of the
renormalization group and functional integral
techniques written by one of the best expositors of
condensed matter physics.
``Field Theories of Condensed Matter
Physics'' by E. Fradkin. (Frontiers in
Physics, Addison Wesley). Interesting material on
the fractional statistics and the fractional quantum
Hall effect.
Traditional Many Body Theory and Greens Functions
``Methods of Quantum Field Theory in
Statistical Physics'' by Abrikosov, Gorkov and
Dzyalozinskii. (Dover Paperback) - Classic text from
the sixties, known usually as AGD.
``A guide to Feynman Diagrams in the
Many-Body problem by R. D. Mattuck. A light
introduction to the subject. Reprinted by Dover.
``Greens functions for Solid State Physics''
S.Doniach and E. H. Sondheimer. Not as thorough as
AGD, but less threatening and somehow more
manageable. Frontiers in Physics series no 44.
``Quantum Many Particle Systems'' by J.
W. Negele and H. Orland. Alas all the good physics
is in the unsolved exercises! However, it is the
only one of this set to touch on the subject of
functional integrals.
Further references:
The Theory of Quantum Liquids by D. Pines and
P. Nozieres. Excellent introduction to Fermi
liquid theory that avoids the use of field theory.
Statistical Physics, vol II by Lifshitz
and Pitaevskii. Pergammon. Marvellous book on
applications of many body physics, mainly to
condensed matter physics.
Times: 1.40 pm on Monday and 1.40 pm on Monday
in Serin-401. We will start on Weds Jan 21.
Occasionally, to make up for my travel, we will hold an
additional class, on Thursdays 1.40-3pm Serin 287
(Condensed Matter Reading room).
Office hour: Officially: 9.50am
Fridays but come by if you have questions. Tel
x 9033.
Assessment: I anticipate four or five
take home exercises and one take-home final. I want to
encourage an interactive class and will take this into
account when grading!