Condensed Matter Physics II
Course outline: Brock Undergraduate Calendar Description:
Energy bands in metals and semiconductors, dynamics of electrons, Fermi surfaces and
transport properties of solids, magnetism, screening in electron gas, optical properties.
Prerequisite(s): PHYS 4P70.
Course goal:
The goal of this course is to provide a working knowledge of the
concepts and tools of modern condensed matter physics to students who
have been exposed to ideas from introductory solid state physics, quantum mechanics, and statistical physics.
The course starts with an in depth discussion of the electronic structure of crystalline solids, and a brief discussion of how this gets modified for noncrystalline systems such as amorphous solids and liquids.
This is followed by a discussion of how the solids, based on their electronic structure, can be classified as
metals, insulators and semiconductors.
Next, the discussion moves on to demonstrating how
the knowledge of electronic structure of solids leads to an understanding of their various physical properties:
in partcicular, their transport, magnetic, optical and superconducting properties.
At the end of the course, students will be able to solve intermediate to advanced level problems involving
these concepts and begin to understand how physicists use them to study solids, build devices, tailor properties of materials,
design new materials and study their emergent properties.
Textbook:
There is no required textbook for the course.
The main source of information
will be the lecture notes. The library has many textbooks on this subject and students can choose any book
they find suitable. Some suggested books are:
 Solid State Physics by N.W. Ashcroft and N.D. Mermin
 Introduction to Solid State Physics by C. Kittel
 Elementary Solid State Physics by M Ali Omar, AddisonWesley Longman: Reading, 1993 ( Revised Edition).
 Condensed Matter Physics by Michael P. Marder
 SolidState Physics by Harald Ibach and Hans Lueth, SpringerVerlag
 Physics of Condensed Matter by Prasanta K. Misra
Marking scheme:
assignments (30%), 2 midterm tests: midterm 1 15%), midterm 2 20% final exam (35%)
40% minimum grade required in the final exam to pass the course
Late assignments will not be accepted unless approved by the instructor
Tuesday lecture time:
Jan. 22 : 3:305:00 p.m.
Jan. 29 : 3:104:40 p.m.
Feb. 5 : 2:003:30 p.m.
Feb. 12 : 3:305:00 p.m.
Feb. 26 : 3:304:40 p.m.
March 5: 3:104:40 p.m.
March 12 3:104:40 p.m.
March 19 3:104:40 p.m.
March 26 3:305:00 p.m.
April 2 3:104:40 p.m.
April 9 No class
Final Exam date, time, place:
PHYS 4P71 and 5P70 Final exam (bring a calculator)
Midterm dates:
Saturday February 9, 10:00 a.m.  12:00 noon in room MC B203
Saturday March 23, 10:00 a.m.  12:00 noon in room MC B203
Course aids:
Periodic Table 1
Periodic Table 2
Crystal Structures:
2D Lattice Types
bccfccsimple hexagonal lattices
bccfccsimple hexagonal lattices
Some characteristics of cubic lattices
Hexagonal closepacked structure1
Hexagonal closepacked structure2
Hexagonal closepacked structure3
Hexagonal closepacked structure4
a possible choice primitive basis vectors for the HCP structure
FCTBCT equivalence
Diamond Structure (from Kittel)
NaCl and CsCl structures
Reciprocal space structure:
Wigner Seitz cell
BZ for square and cubic lattices
BZ for fcc and bcc lattices
Theorem needed for the plane wave expansion of periodic functions in real or reciprocal space
Band structure:
KronigPenney Model(from Kittel)
Energy Bands and Gaps: metals, semimetals, semiconductors, insulators
Extended, reduced and periodic zone schemes (from Ashcroft and Mermin)
Empty Lattice (free electron) bands: simple cubic
Empty Lattice (free electron) bands: bcc
Assignment 3, Problem 5, help
Freeelectron and Tightbinding bands:
Free electron bands for fcc Ca, compared with more accurately calculation (from Ashcroft and Mermin)
Free electron bands for bcc Na, compared with more accurately calculation (from Ashcroft and Mermin)
Energy bands in Germanium, free and LCAO bands compared with more accurate calculation (Fig. 3.8Electronic Structure and the Properties of Solids, Wlater A. Harriosn 1989)
Energy bands and DOS for fcc Cu
Tight sbands for a square lattice
sample problem1
Semiconductors:
Energy gaps in semiconductors
Energy bands of Si and Ge
Electrons and holes
visualizing electron and hole motion
visualizing change of electron wave vector in an Efield
carrier concentration:Tdependence
mobility
Problem:extrinsic conductivity
Tdependence of conductivity
Fermi Surface:
Fermi Surface1
Fermi Surface2
Fermi Surface3
Fermi Surface:Cu, Ag, Au
Fermi Surface of Copper in periodic zone scheme
Fermi Surface: important points to remember
Electron velocity at ZB for a linear lattice
Fermi Surface: notes
Fermi Surface of MgB2:
Fermi Surface of MgB2 (superconducting material)
Fermi Surface of MgB2 in relation to its band structure
Electron motion in Bfield:
Electron motion in Bfield
Explaining de Haasvan Alphen effect (from Kittel)
Magnetism:
Hund's Rules and Term Symbols (Ashcroft and Mermin)
Effective magneton numbers: Iron Group (Kittel)
Effective magneton numbers: Lanthanide Group (Kittel)
Pauli spin paramagnetism
Exchange interaction
Heisenberg Model
Exchange interaction in some ferromagnetic 3d metals
Stoner Model of Band Magnetism
Heisenberg ModelAntiferromagnetic
Direct, Super and Indirect exchange
Spin waves in a ferromagnet
Course Summary
