Syllabus
Books
Resources
Assignments
University of Washington Physics 568, Spring 2009

Condensed Matter Physics II - Electronic Properties


Instructor: David Cobden


Meeting times: Tuesday and Thursday, 1.30-2.50. Location: PAB 417 (CMT meeting room).

Course description: Physics 568 is the second of a two-quarter sequence introducing the most important concepts of modern condensed matter physics at the beginning graduate level. A third, Physics 569, is offered intermittently.

Prerequisites: You should ideally have had some previous exposure to concepts in solid state/condensed matter, such as through an undergraduate level course. More importantly though, you should have undergraduate quantum mechanics, electromagnetism and statistical mechanics.

Grading: Reading suggestions and problems will be given for self-study. There will be no exams, and all participating in the course satisfactorily will receive 4.0.


Syllabus

567 Winter 2009 - Condensed Matter I - General principles, structure, scattering and vibrational properties

568 Spring 2009 - Condensed Matter II - Electronic properties

  • Free electrons, Sommerfeld expansion, statistics, second quantization. Heat capacity of electron gas. Pauli susceptibility
  • Bloch theorem for electrons. Band structure and group theory
  • Nearly free electron model. Metals and insulators
  • Tight binding model. Hubbard model
  • Band structure calculations and examples. Graphene
  • Bloch electron dynamics in E and B fields. Semiclassical approximation
  • Holes.  Semiconductors. Cyclotron motion, Landau levels. Skin effect
  • Drude model. Magnetoresistance and Hall effects
  • Boltzmann equation. Relaxation time approximation. Electrical and thermal conductivity. Impurity scattering
  • Linear response. Einstein and Onsager relations. Thermoelectric coefficients

569 Autumn 2009 - Condensed Matter III - TBA

  • Thomas-Fermi Screening. Lindhard function. Friedel oscillations
  • Dielectric response function; Kramers-Kronig relation
  • Plasmons in 3D, on surfaces, and in nanoparticles
  • Electron-phonon coupling. Peierls instability. Polarons
  • ...

Books

Our guiding texts this quarter will be

Condensed Matter Physics [2000] by M.P. Marder (Wiley; make sure you get the corrected printing from 2004). This book is is an up-to-date, rather broad coverage of CM physics. Some important topics are only sketched, but a remarkably large number are done in depth, with more sophisticated calculations than presented in the other texts. Relatively conventional coverage of crystalline materials and electronic properties. The author has a web site for the book and a complete set of nice lecture slides is available as pdf files.

Advanced Condensed Matter Physics [2009] by Leonard M. Sander. A brand new book at a similar level of sophistication to Marder but with far less detail but clearer notation and explanations. It is sketchy and needs to be used in conjunction with other bigger books, such as Marder.

Solid State Physics [1976] by N.W. Ashcroft and N.D. Mermin. The clearest, wordy explanations at advanced undergrad level; not as sophisticated or modern as the above books but authoritative.

Principles of the Theory of Solids [1979] by J.M. Ziman. Slick and concise grad level book entirely on crystalline solids, absolutely packed with insights and self-contained.

Also useful:

Principles of Condensed Matter Physics [2000] by P.M. Chaikin and T.C. Lubensky.� Advanced and up-to-date text with an unusual emphasis on soft condensed matter. Complementary to Marder. Very light on electronic properties.

Solid State Physics [1995] by J.R. Hook and H.E. Hall. Undergraduate-level book, full of insights, but somewhat unorthodox in the development of the subject. Excellent contact with experiments (written, unlike any of the other books, by experimentalists.) Nonstandard approaches to several issues may upset undergraduates but can be informative for graduate students and people like me who are looking to understand things better.

A Quantum Approach to Condensed Matter Physics [2002] by P. Taylor and O. Heinonen.
Nice intro to second quantization and diagrams. Rather unorthodox approach; skimpy on details of some standard CM material and little contact with experiments. This book goes as far into field-theory as a non-field-theorist could want.

Fundamentals of the Theory of Metals [1988] by A.A. Abrikosov. Supposed to be the authority on metals but out of print and very hard to get hold of.

Basic Notions of Condensed Matter Physics [effectively 1973] by P.W. Anderson. Quirky, and addressed to the professional. The use of the word 'basic' in the title is highly misleading.

Introduction to Solid State Physics [8th Edtion, 2004] by C. Kittel. Generations of students have been put off condensed matter physics by this encyclopaedic but undigestible book. Earliest editions were better.

Some other newer books:

Many-Body Quantum Theory in Condensed Matter Physics [2004] by H. Bruus and K. Flensberg. Good for learning to do many body calculations from scratch, if that's what you're into.

Introduction to Condensed Matter Physics [2005] by F. Duan and J. Guojun. First volume of an ambitious compendium; falls in the gap between general and authoritative.


Condensed matter resources on the web

Marder's web site
Statistical Mechanics: Entropy, Order Parameters and Complexity by Jason Sethna
MIT Theory of Solids
Physics of Mesoscopic Systems� Lecture notes from Boulder school, July 4-29, 2005
Ben Simons (Cambridge) - Quantum Condensed Matter Physics and Quantum Condensed Matter Field Theory
Piet Brouwer (Cornell) - problem sets
Yuri Galperin (Oslo) - Introduction to Modern Solid State Physics
Chetan Nayak (UCLA)
Piers Coleman (Rutgers) - Monogram on Many Body Physics
Gil Refael (CalTech) - Statistical Mechanics and Critical Phenomena