Introduction into Condensed Matter Physics 133
Spring 2017
Tuesday &
Thursday, 2:00pm-3:20pm
PSCB 220
Instructor:
Prof. Sasha Chernyshev
Office: RH 310F
Phone: (949)-824-6440
E-mail: sasha@uci.edu
Web page: http://www.physics.uci.edu/~sasha/
Office hours: Mondays or Fridays by appointment
Introduction
This course is the introduction into the basic concepts and tools of condensed matter physics.
It covers several broadly related topics. Basic knowledge of classical and
quantum mechanics
and statistical physics is needed.
Topics to be covered [preliminary]
- Crystal structures [Kittel, Ch.
1,
2],
- Periodic structures, idea of crystals
- Bravais lattices, unit cells
- Point group symmetries
- 2D, 3D Bravais lattices
- lattices with basis,
Lecture 1 and 2
- Inverse lattice, vectors, symmetries
- Bragg planes, indices
- Scattering problem, Bragg's law
Lecture 3 and 4
- X-rays, electrons, neutrons, physical restrictions
- surfaces, experiments (LEED, STM, etc.)
- Correlation functions, structure factor
- Long-range order, order parameter
- quasicrystals
- some extra stuff (bonding, elasticity etc.)
overview
- Phonons as quanta [Kittel, Ch.
4,
5]
Lecture 5 and 6
- Bravais/non-Bravais, 1D examples
- longitudinal, transverse, optical modes
- equation of motion, translational invariance, Fourier transform
- coupled harmonic oscillators --> independent harmonic oscillators
- universality, emergence of excitations
- Normal modes, second quantization, number representation
- phonon distribution function, chemical potential
- specific heat, Debye approximation, limiting cases, universality
- thermal conductivity, mean-free path, Umklapp skattering
- Density of states, 1D, 2D, 3D; van Hove singularities
- (*) Crystalline order in one- and two-dimensions
- Electronic properties of solids, bands [Kittel, Ch.
6,
7, and
9]
- Basic Hamiltonian, adiabatic approximation
- non-interacting (free) Fermi-gas,
Lecture 7 and 8
- Ground state properties, useful quantities (kF, rs, EF)
- Density of states
- Specific heat, T-dependence of mu, Sommerfield constant
- Translational invariance, waves in crystals, Bloch's theorem,
Lecture 9, 10, 11, and 12
- Folding to the Brillouin zone
- "nearly-free" electrons, Schroedinger E. in momentum space
- Perturbation theory in momentum space
- Role of Bragg scattering near BZ boundaries, band formation
- van Hove singularities, Kronig-Penney model
- Folding of the Fermi surfaces, Harrison construction,
Alternative slides
- Tight-binding, idea, justification, bands
- hopping integrals, Hamiltonian, effective mass,
Extra material on tight-binding
- Brief overview of the periodic table
- role of e-e interaction, Mott effect, idea of DFT
- Elements of the
theory of semiconductors [Kittel, Ch.
8 and
17]
- semiconductors, band gap
- direct and indirect gaps, optical properties
- intrinsic carrier concentration
- holes, effective mass
- doping, donors, acceptors
Lectures 14 and 15
- thermal ionizatopn, p- n-types
- p-n junction,diode, transistor; applications
- solar cells, photovoltaic effect
- Superconductivity [Kittel, Ch.
10]
- superconductivity, survey, materials, energy scales
- Meissner effect, persistent currents
- Josephson effect, SQUID
- Type I, Type II, vortices
- specific heat, gap, tunneling
- energy gap, pairing, effect of field, isotope effect
- Ginsburg-Landau
- BCS theory
- Ch. 3-6 from a short
book on Superconductivity and Superfluidity by Annett
Lecture that follows Kittel
Less formal lecture
A lecture on BCS and Josephson
Recommended Book
- Charles Kittel, Introduction to Solid State Physics, 8th Edition
A note about this text: Kittel's textbook is good, but not to everyone's liking.
It is, therefore, recommended, but will not be required.
There is plenty of other books as well as excellent on-line sources
such as this one.
Homework
Homework will be assigned weekly. Numbers will refer to the end-of-the-Chapter problems in Kittel.
The homework assignments will be due at the beginning of class on the dates announced separately.
The grade will be based on your homework (50%), midterm (20%), and a final (30%).
- Homework, #1: problems
solutions
- Homework, #2: problems
solutions
- Homework, #3: problems
solutions
- Homework, #4: problems
solutions
- Midterm exam,
Midterm exam solutions
- Homework, #5: problems
solutions
- Homework, #6: problems
solutions
- Homework, #7: problems
solutions
- Homework, #8: problems
solutions
- Final exam,
Final exam solutions