Advanced Solid State Physics, Course 603, Fall 2018

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Computational physics

Advanced Computational Physics

(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

Solid state physics is the most diverse field in physics, and is probably also the most rapidly changing field within physical sciences. This course builds on the previous introductory Solid State physics course, which is broader and brief, while this Advanced Solid State course is more focused on smaller number of subtopics, but digs deeper, and equips students with mathematical tools commonly used in the solid state research today, such as second quantization, many body perturbation theory with Green's functions, Holstein Primakoff transformation, Poor Man's scaling, etc.

Class Time: ARC building (108), 3:20pm - 4:40pm Monday and Wednesday

Instructor: Kristjan Haule
Office: Serin E267
email: haule.at.physics.rutgers.edu
Phone: 445-3881
Office hours: Friday 4:45pm

Texts: The course will be built from


Lecture notes in pdf form (careful large file)

Course Outline and List of Topics

  1. Correlation Functions (R.M. book chapter 5), lecture notes

  2. Linear Response in Kubo formalism (R.M. chapter 5), lecture notes

  3. Many Body wavefunction (R.M. Chapter 6), lecture notes

  4. Modern Theory of Polarization (D.V. book), lecture notes

  5. Berry Phase (D.V. book), lecture notes

  6. Berry Phase for strongly interacting systems and Quantum Hall effect, lecture notes

  7. Quasiparticles (R.M. chapter 7), lecture notes

  8. Functionals in many particle systems (R.M. chapter 8), lecture notes

  9. Comparison of many body methods (R.M. later chapters), lecture notes

  10. Conservation Laws and Correlation Functions(R.M. chapter 8.5.), lecture notes

Some other books that can be helpful in the course:

  1. Basic Aspects of the Quantum Theory of Solids by Daniel I. Khomskii
    2. Short and concise book, not too rigorous, yet detailed with emphasis on theory of phase transitions, magnetism, and Fermi liquds.

  2. Advanced Solid State Physics by Philip Phillips
    3. Short and concise book with emphasize on magnetism and Kondo physics.

  3. Introduction to the Physics of Electrons in Solids by Henry Alloul
    4. More exhaustive book with emphasis on Superconductivity with important experimental note on the subject.

  4. Condensed Matter Physics by Michael P. Marder
    5. Very exhaustive and complete book, with more emphasis on clear physics and less emphasis on mathematics.

  5. Solid State Physics by N.W. Aschroft and N.D. Mermin
    6. Another exhaustive book with less involved mathematics.

  6. Condensed Matter Field Theory by Alexander Atland and Ben Simons
    7. A modern textbook on Field Theory with strong emphasis on modern tools like Functional field integral.

  7. Many-Particle Physics by Gerald D. Mahan
    8. A classical textbook on many body aspects of solid state, dealing in detail with response functions such as Green's function and optical conductivity and more general Kubo formalism.

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