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Computational physics
Many body 2004 by P. Coleman
B. Symons course

(a) Cuprate superconductor levitates a magnet, (b) Band structure and
density of states of a material probed by ARPES (c) ARPES (Angle resolved
photoemission spectroscopy) technique (d) Richard P. Feynman
Many body physics provides the framework for understanding the collective
behavior of interacting electrons in a material. This course provides an
introduction to the field, familiarize you with the main techniques and
concepts, aiming to give you firsthand experience in calculations and problem
solving using many body methods.
Class Time: ARC building (204), 12:10pm1:30pm every Monday and Thursday
Instructor: 
Kristjan Haule
Office: Serin E267
email: haule@physics.rutgers.edu
Phone: 4453881
Office hours: Friday 4:45pm

Literature: The course will be built from the three excellent books:
 Condensed Matter Field Theory by Alexander Atland and Ben Simons
Most of the course is build from this bool. It is a modern textbook on Field Theory with strong emphasis
on modern tools like Functional field integral.
 Quantum Manyparticle Systems by J.W. Negele, H. Orland
Excellent coverage of perturbation theory using Functional field integral language. We will use it in the chapter on perturbation theory.
 ManyParticle Physics by Gerald D. Mahan
A classical textbook dealing in detail with response functions such as Green's function and optical conductivity, Kubo formalism and many more.
We will add a small bits and pieces from this book, mostly in the chapter on the perturbation theory & uniform electron gas.
Other good references:
 Introduction to Many Body Physics by Piers Coleman
Very exhaustive reference with particular emphasis on correlations.
 Methods of Quantum Field Theory in Statistical Physics by A.A. Abrikosov, L.P. Gorkov, I.E. Dzyaloshinski
Classic text from the sixties, known usually as AGD. Technically a
bit more involved but contains many derivations which can not be found in any other book.
 Basic Notion of Condensed Matter Physics by P.W. Anderson
Great inspiration from one of the "fathers" of strongly correlated field
 Quantum Theory of ManyParticle Systems by A.L. Fetter and J.D. Walecka
 Field Theories of Condensed Matter Systems by Edwardo Fradkin
Interesting material on the fractional statistics and the fractional quantum Hall effect.
 Introduction ot Superconductivity by Michael Tinkham
Great book on supeconductivity.
 Interacting Electrons and Quantum Magnetism by Assa Auerbach
 Quantum Field Theory in Condensed Matter Physics by Alexei M. Tsvelik
Very good for one dimensional systems.
Lecture Notes from 2022 in pdf
Homeworks from 2022
Homework 1
Homework 2
Homework 3
Homework 4
Course Outline and List of Topics
 Quantum fields
 Second quantization
 Applications of second quantization:
 Jellium model
 Tight binding model
 Mott Hubbard transition and Spin models of Mott insulator
 Interacting fermions in 1D
 Quantum spin chain
 Feynman path integral
 Functional field integral
 Green's function at zero temperature and finite temperature (Matsubara formalism)
 Perturbation Theory
 Plasma theory of interacting electron gass
 BoseEinstein condensation and superfluidity
 Superconductivity & BCS Theory
Students with Disabilities
