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Instructor: Prof. Y.
Alex Xue
Office: CESTM B131
Phone: (518) 956-7220 Email:
yxue@uamail.albany.edu
Meeting Time and Location: Monday
4:15-7:05 PM NFS classroom
Office Hour: Wednesday 3-4PM or by
appointment
Course Description: This is the second-half of the one-year
course that addresses the fundamental
concepts relevant to the investigation
of nanomaterials and nanodevices
by applying the methods of quantum mechanics and statistical mechanics
to
examine the atomic and electronic properties of solids, surfaces and nanosale systems. The 1st half of the course
NNSE625 focuses on the
fundamentals concepts and methods of
thermodynamics, statistical mechanics, and in-depth discussion of the
quantum mechanics of atoms, molecules, and crystals. NNSE626 will focus
on the application to electronic,
mechanical, magnetic, optical and transport properties of solids and
surfaces.
Prerequisite: NNSE 625, NNSE 512 or equivalent
Course Text:
The required textbook
(avalibale at UAlbany bookstore) is:
1) M.P. Marder, Condensed Matter
Physics (Wiley, 2000).
Another very useful book is:
2) E. Kaxiras,
Atomic
and Electronic Structure of Solids (Cambridge University
Press, 2003).
The
actual lectures
will not cover the course materials in the same order as textbooks, and I’ll cover additional topics as
appropriate. Here is a list of additional relevant
textbooks that may help you understand the course materials, which will
be provided separately as needed.
3) P.L. Taylor and O.
Heinonen, A Quantum Approach to
Condensed Matter Physics (Cambridge University Press, 2002).
4) N.A. Ashcroft & N.D. Mermin, Solid State Physics
(Saunders, 1976).
5) P.M. Chaikin and T.C.
Lubensky, Principles of Condensed Matter Physics (Cambridge University
Press, 1995).
6) L.D. Landau and E.M.
Lifshitz, Statistical
Physics, 3rd edition (Elsevier, 1980).
7) C. Cohen-Tannoudji et
al., Quantum Mechanics (2
vol. set), Wiley-Interscience, 2006.
8) R.M. Martin, Electronic Structure
(Cambridge University
Press, 2004).
Grades: Course grading will be based on three
term papers (literature reports on selected topics). Grade distribution: 30% term paper 1,
30% term paper 2, 40% term paper 3.. Homeworks will be assigned but not
collected or graded..
Course Website: http://www.albany.edu/~yx152122/CNSE626-09.html.
Lecture notes, reading materials and
homework solutions can be found
at the course website.
Tentative
Weekly
Course
Materials:
You
should study
the reading materials beforehand and come to the lecture with questions
and read them again after the lectures!
Week/Date
Lecture
Topic
Reading
Materials
Homework
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Week
1
8/31
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The
Free-Electron Model of Solids
Born-Oppenheimer Approximation
Density of States and Specific Heat
Magnetism
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Marder Ch. 6, Ch. 25.3
(See also Ashcroft & Mermin Chs. 1, 2)
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Marder Ch.6 Problems 5(a) and 7
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Week
2
9/7
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Labor Day (No
Class)
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Week 3
9/14
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Band Structure of
Solids I
Bloch's Theorem
Pseudo Potential
Nearly-Free Electron Model
Symmetries of the Band Structure |
Kaxiras Ch. 1, Ch. 2.7 and Ch.3
(See also Marder Ch. 7 and 8) |
Marder Ch.7 Problem 2 |
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Week 4
9/21
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Band Structure of
Solids II
Tight-Binding Model
General Band-Structure Methods
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Kaxiras Ch.4 and Marder Ch.10.
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Term Paper 1
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Week
5
9/28
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No Class
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Week 6
10/5 |
Time-Dependent
Processes
in
Quantum
Physics
Time-Dependent Schrodinger Equation
Wavepacket
Heisenberg and Schrodinger Picture
Time-Dependent Perturbation Theory
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Cohen-Tannodji Ch.
1.C, Ch.III.D, Complement G.III, Ch. XIII
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Week 7
10/12
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Dynamics
of Crystal Electrons
Crystal Electrons in an Electric Field
Crystal Electrons in a Magnetic Field
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Kaxiras Ch. 3.3, 3.4, 7.5, Marder Ch.
16.1-16.4, 16.5.2, 21.2
(See also Ashcroft Ch. 12 & 14)
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Marder Ch.16 Problem 3
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Week 9
10/26
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Electron-Electron
Interaction in Solids
Hartree-Fock Theory
Density Functional Theory |
Marder
Ch.9, Kaxiras Ch. 2.2, 2.3, 2.5 |
Term
Paper 1 Due
Marder Ch.9
Problem 2
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Week
11
11/9
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Mechanical Properties
of Solids
Cohesion of Solids
Energetics and Dynamics |
Marder
Ch.
11,
Kaxiras
Ch.
5.6
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Marder
Ch.11
Problem
4 |
Week 12
11/16
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Lattice Vibrations
Classical and Quantum Models
Phonon Scattering |
Marder Ch. 13, Kaxiras Ch. 6 |
Marder Ch.13 Problem 2
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Week 13
11/23
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Electronic Properties
of Solids
Density of States
Optical Excitations
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Kaxiras Ch. 5.1-5.3, Marder Ch. 20
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Kaxiras Ch.5 Problem 3
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Week 14
11/30
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Optical Properties of
Solids
Dielectric Functions
Plasmons and Excitons
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Marder 23.1-23.3, Kaxiras Ch. 5.4, 5.5
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Term
Paper 2 Due
Kaxiras Ch.5 Problem 5
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Week 15
12/7
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Magnetic Behavior of
Solids
Magnetic Behavior of Insulatos and
Metals
Heisenberg Spin Model
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Kaxiras Ch. 7
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Final Exam
(Dec. 14, 09, 1-2 PM)
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Term
Paper 3 Due
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