The Anderson impurity model (AIM)

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Table of contents

1 Abstract 
2 Introduction 
3 Theoretical background 
3.1 Greens functions and self energy
3.2 Hubbard and Falicov-Kimball model
3.3 Anderson impurity model
3.4 Dynamical Mean Field Theory
3.5 Divergence lines of the irreducible vertex 􀀀r
3.6 Density Matrix Renormalization Group
3.6.1 Innite size DMRG
3.6.2 nite size DMRG
3.7 The Program
3.7.1 Chebyshev expansion
3.7.2 Linear prediction
4 Calculations 
4.1 Dening the upper boundary of the local potential
4.2 Results
4.2.1 U=1.00
4.2.2 U=1.50
4.2.3 U=1.80
4.3 Table of kinks in the self energy
5 Conclusion 
Bibliography