Lecture notes on the GW method (draft)
Liam Damewood
May 11, 2012
Abstract
Here are some brief lecture notes on the GW method based on various sources but mainly Solid State
Phys. 54, 1 (2000). Most gures are taken from there. Major errors should be repor
1
Single particle Greens functions
and
interacting topological insulators
Victor Gurarie
Nordita, Jan 2011
Thursday, January 6, 2011
Topological insulators are free fermion systems characterized
by topological invariants.
In this talk
1. All the invariant
Kwan-Woo Lee
HK: electron density contains in principle all the
infor mation contained in a many-electron wave
function.
1
Hohenberg-Kohn Theorem
1. V=V[n]
V is a functional of ground state density n(r).
Proof)
Suppose for two systems with the same # of p
y
x w w v u b th vI
eeY o frTS
Y`mDIdlQIkfhi9Q9g4f`xre`Y`D`d'W6eB
g G j I Y I P W I D p q p v DxP b D Y
beerFbDeE n QesrFp6rW o lqj
EY
ID P b W I S I Y D W I d g p
Yp ppG Pb g o
r@rHE n ephg n
Y`mDIdlgQkfi9Q9g4f`xre`Y`D`d'W6eB
I G jh I Y I P W I D p q p
Elementary Introduction to the Hubbard Model
I.
INTRODUCTION
The Hubbard model oers one of the most simple ways to get insight into how the interactions between electrons can give rise to insulating, magnetic, and even novel superconducting
eects in a sol
Tight Binding Method: Linear Combination of Atomic Orbitals (LCAO)
W. E. Pickett
(Dated: November 6, 2006)
This write-up is a homemade introduction to the tight binding representation of the electronic
structure of crystalline solids. This information is