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 continues from Many
Body 620, and will introduce many body physics needed to
understand current research activities in quantum
condensed matter, including finite temperature methods,
response functions, path integrals, conventional and
unconventional superconductivity, strongly correlated
electron systems. I will also review essential
material and offer additiional tuition to cater to those
who were unable to take 620 last semester. Please
ask Shirley Hinds for a special permission to register.
There will be a lot of discussion and interaction. Please
register as soon as possible.
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: 12.10 Weds and 2
pm Friday in Serin 287. NOTE:
We will start on Fri, Jan 19th. Occasionally, to
make up for my travel, we will hold an additional
class at a time to be decided.
Office hour: Time to be decided. Tel x
9033.
Assessment: I anticipate four take
home exercises. I want to encourage an interactive class
and will take this into account when grading.