Strongly Correlation and entanglement in
Quantum Matter
681 Fall 2018
Update: We are going to combine
physics 681 and physics 603, which will now be taught by
Piers Coleman (5 Sept - Oct 24) and Kristjan Haule (Oct
29-Dec 12)
Piers Coleman and Kristjan Haule,
Rutgers University
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. There will be a lot of discussion and
interaction. Starting with a path-integral approach to
many body physics, we will discuss broken symmetry in
magnetism and superconductivity, going on to
discussanisotropic superconductivity, local moment
formation, the Kondo Lattice and the physics of heavy
fermion materials and quantum criticality. We will
end with a discussion of topological matter, including the
quantum Hall effect and the strong topological insulator.
The course will be based in part on the last seven
chapters of my book, "Introduction to Many-Body Physics".
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: 3.20 pm on Monday and 3.20 pm on Monday in
ARC 108. We will start on Weds Sep 5. Occasionally, to make
up for my travel, we will hold an additional
class, on Friday 12.30-1.40pm, SEC 206.
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!