Condensed Matter Physics
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Condensed Matter Physics

Notes and problems from UofT PHY487H1F 2013

About the Book

This book contains my lecture notes for the Winter 2013, University of Toronto Condensed Matter Physics course (PHY487H1F), taught by Prof. Stephen Julian.

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About the Author

Peeter Joot
Peeter Joot

Peeter Joot is a math and physics enthusiast with a love of geometric algebra.

Peeter's education includes a B.A.Sc from UofT (1997 Engineering Science - computer engineering), 2019 UofT M.Eng (ECE electromagnetics), a lot of self-study, and non-degree study of most of the interesting 4th year UofT undergrad physics courses.

Peeter's day job is software development. He has over 20 years of experience with low level systems programing, operating system and hardware abstraction and exploitation, concurrency, and large scale refactoring. Peeter works for LzLabs and now has fun with PL/I, COBOL, JCL, VSAM, CICS and other legacy subsystems sure to scare away most developers of his generation.

Table of Contents

  • Copyright
  • Document Version
  • Dedication
  • Preface
  • Contents
  • List of Figures
  • Lecture Notes
  • 1 Bonding
  • 1.1 Chemical bonding in solids
  • 1.2 Covalent bonding
  • 1.3 Ionic bonding
  • 1.4 Metallic bonding
  • 1.5 Transition metals
  • 1.6 Problems
  • 2 Lattice structure and diffraction
  • 2.1 Periodicity
  • 2.2 Crystal structures
  • 2.3 Point group symmetry
  • 2.4 Simple crystal structures
  • 2.5 General theory of diffraction
  • 2.6 Reciprocal lattice
  • 2.7 Constructive interference
  • 2.8 Ewald sphere
  • 2.9 Scattering in terms of lattice points
  • 2.10 Bragg condition
  • 2.11 Structure factor
  • 2.12 Brillouin zones
  • 2.13 Problems
  • 3 Phonons
  • 3.1 Phonons
  • 3.2 3D potentials for real solids
  • 3.3 Problems
  • 4 Thermal properties
  • 4.1 Thermal properties
  • 4.2 lattice energy
  • 4.3 Density of states
  • 4.4 Isotropic model (Debye)
  • 4.5 Thermal energy of a harmonic oscillator
  • 4.6 Lattice specific heat capacity
  • 4.7 Problems
  • 5 Free electron model
  • 5.1 Free electron model of metals
  • 5.2 Fermi Dirac distribution for T > 0
  • 5.3 Heat capacity of free electrons
  • 5.4 Thomas-Fermi screening
  • 5.5 Problems
  • 6 Electronic bandstructure
  • 6.1 Electrons in a periodic lattice
  • 6.2 Nearly free electron model
  • 6.3 Tight binding model
  • 6.4 Three dimensional band structures, Fermi surfaces of real metals
  • 6.5 Problems
  • 7 Electrical conductivity
  • 7.1 Semiconductors
  • 7.2 Density of states
  • 7.3 Electrical transport
  • 7.4 Electric current
  • 7.5 Problems
  • 8 Electron scattering
  • 8.1 Electron-phonon scattering
  • 8.2 Electron-electron scattering
  • 9 Semiconductor physics
  • 9.1 Conduction and valence bands
  • 9.2 Doped semiconductors
  • 9.3 Problems
  • 10 Superconductivity
  • 10.1 Superconductivity overview
  • 10.2 London equations, and perfect conductors
  • 10.3 Cooper pairing
  • 10.4 BCS theory
  • Appendixes
  • A Huygens diffraction
  • B Discrete Fourier transform
  • C Exponential solutions to second order linear system
  • C.1 Motivation
  • C.2 Matrix methods
  • C.3 Fourier transform methods
  • C.4 Reflection
  • D Fourier coefficient integral for periodic function
  • E Mathematica notebooks
  • Bibliography

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