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Course Syllabus
pdf file

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Lecture notes

More is different The famous paper by P. W. Anderson.

Supplemental Material: Review single-particle physics

Supplemental Material: Brief introduction to 2nd quantization

Landau Fermi liquid theory -- Phenomenology

Lecture 1 : Quasi-particles, Landau interaction function
Lecture 2 : Renormalization to physical quantities, Pomeranchuk instability
Lecture 3 : Boltzman equation, zero sound, spin transport

Further reading : A theoretical description of the new phases of liquid 3He,
A. J. Leggett, Rev. Mod. Phys. 47, 331 (1976).

Further reading : Fermi liquid instability in the spin channel,
C. Wu et al, PRB 75, 115103 (2007),

and
Dynamic generation of spin-orbit coupling, C. Wu and S. C. Zhang,
PRL 93, 036403 (2004).

Further reading : Spin-orbit coupled Fermi liquid theory of ultracold magnetic dipolar fermions, Y. Li and C. Wu, Phys. Rev. B 85, 205126 (2012)

More information and slide

Interacting electron gas
Supplemental Material: Hartree-Fock theory

Lecture 4 : Lindhardt response, RPA, plasmon

Lecture 5 : Screening

Lecture 6 : Density functional theory

Lecture 7 : Quantum magnetism -- Heisenberg model

Formalism: Green's function, path integrals, operators,
Lecture 8 : Operator formalism, response functions

Lecture 9 : Path integral for functional fields and fermions

Lecture 10 : Perturbation theory for fermions

Lecture 11 : RPA

Lecture 12 : Correlation energy

Lecture 13 : Life time, Fermi surface

Lecture 14 : Spin wave in metals

Supplemental Materials: Landau Fermi liquid theory -- Microscopic theory

Microscopic theory (I) : Vertex functions.

Microscopic theory (II) : Ward Identities and Luttinger theorem.

Microscopic theory (III) : More

Phonons
Supplemental Material:
Acoustic phonons - long-wave length method, elasticity

Supplemental Material:
Optical phonons - polariton, Huang's Equation

Lecture 15 : Electron-Phonon interaction

Superconductivity
Supplemental Material:
Phenomenology of superconductivity

Lecture 16 : BCS-mean field theory

Lecture 17 : Thermodynamics, McMillan formula, linear response and coherence factors

Lecture 18 : GL theory, EM response, and dirty superconductor

Supplemental Material :
Functional field method to GL equation and EM response

Supplemental Material :
Unconventional Superconductivity

Supplemental Material :
Phase sensitive detection to Unconventional Superconductivity

Supplemental Material :
p-wave, He-3 A and B, d-vectors, topological edge stades

Supplemental Materials: Superfluidity
Mean-field theory for superfluidity
Path integral for superfluidity
Low dimensional superfluidity
Renormalization group theory for K-T transition
EM response of charged superfluidity

More
Kondo problem
Disordered electrons
Transport

Howework assignment

HW1 pdf Review on 2nd quantization and HF,
due on Jan 22 class. If you have difficulty, check supplemental materials.
Solution posted on Jan 22.

HW2 pdf You may skip Problem 1.3, for which
you need the knowledge of Thomas-Fermi screening length.
Due on Jan 31 (Thur) class.
Solution posted on Feb 5.

HW3 pdf Due on Feb 19 (Tues) class.
Solution Posted on Feb 21.
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Midterm and Final

Midterm the pdf file .
Due on Feb 28 in class. You only need to do Problems 1 and 2, i.e., page 1 to 4.
Solutions posted on March 2 .

Back to home

Last modified: Jan 7, 2010.

Landau Fermi liquid theory -- Phenomenology

and Dynamic generation of spin-orbit coupling, C. Wu and S. C. Zhang, PRL 93, 036403 (2004).

Interacting electron gas

Formalism: Green's function, path integrals, operators,

Supplemental Materials: Landau Fermi liquid theory -- Microscopic theory

Phonons

Superconductivity

Supplemental Materials: Superfluidity

More

Howework assignment

HW1 pdf Review on 2nd quantization and HF, due on Jan 22 class. If you have difficulty, check supplemental materials. Solution posted on Jan 22.

HW2 pdf You may skip Problem 1.3, for which you need the knowledge of Thomas-Fermi screening length. Due on Jan 31 (Thur) class. Solution posted on Feb 5.

HW3 pdf Due on Feb 19 (Tues) class. Solution Posted on Feb 21.

##
Midterm and Final

Midterm the pdf file .
Due on Feb 28 in class. You only need to do Problems 1 and 2, i.e., page 1 to 4.
Solutions posted on March 2 .

Back to home
Last modified: Jan 7, 2010.