Department > Lectures > Summer Term 2024 > Condensed Matter Theory 2 (MVTheo2, MVSpec)

Condensed Matter Theory 2 (MVTheo2, MVSpec)

summer term 2024
Lecturer: Haverkort M
22 participants
Condensed Matter Theory II:
The complexity of 1023 particles interacting with each other in a solid give rise to many emergent phenomena one would not predict from the simple interactions between two electrons. In this lecture we will, starting from simple models and theories work our way into the contemporary theory of many particle physics. 
 
The lecture builds on the concepts discussed during the condensed matter physics I lecture series. We will use these to look at interacting many body systems. 
 
Background knowledge assumed to be present:
(you can find these topics in the lecture notes, look at youtube videos of the previous lectures or ask during the lectures for more information)
  • Second quantization
  • Tight binding representation of Hamiltonians and how to solve the band-structure (Fourier transform, crystal momentum)
  • Green's functions for non-interacting system and Dyson equation to calcualte impurity or surface states.
 
Concepts of many particle systems discused are:
  • Response functions.
  • The difference in response functions between interacting and non-interacting systems.
  • Green's functions and diagramatic expansions for interacting systems.
  • Embedded cluster approximations including atomic multiplets, crystal field theory, ligand field theory, dynamical mean field theory.

Material

Recommended Literature

Main literature

  • There is a script that acompanies the lecture. Feedback and typos are most welcome
  • Jochen Schirmer
    Many-Body Methods for Atoms, Molecules and Clusters
  • Mattuck
    A guide to Feynman Diagrams in the Many-Body Problem
  • E.N. Economou
    Green's Functions in Quantum Physics

 

Other sources

  • Ashcroft / MerminSolid State Physics
  • Kittel
    Introduction to Solid State Physics
  • Majlis
    The Quantum Theory of Magnetism
  • Haken / Wolf
    The Physics of Atoms and Quanta

Practice groups

Schedule - Content

 

16.04.2024 Introduction and start with response theory
Chapter 13
23.04.2024 Response theory - H atom
Chapter 13
29.04.2024 Additional lecture at the time of the tutorial
Response theory - Time and frequency
Chapter 13
30.04.2024 Response theory - Time and frequency
Chapter 13
07.05.2024 Response theory - Dissipation+ Kramers Kronig
Chapter 13
14.05.2024 Correlations - The H2 molecule
Chapter 14
21.05.2024 Correlations - The Hubbard model
Chapter 14
28.05.2024 No lecture 
04.06.2024 Green's functios
Chapter 15
11.06.2024 Diagramatic expansions
Chapter 15
18.06.2024 Diagramatic expansions
Chapter 15
25.06.2024 Atomic multiplets and fractional parantage
Chapter 16
02.07.2024 Ligand field theory
Chapter 16
09.07.2024 Dynamical mean field theory
Chapter 17
16.07.2024 No lecture - time to ask questions if wanted
23.07.2024 Exam starts at 11:15

 

 

 

 

 

 

Excersizes

 

29.04.2024 Additional lecture
13.05.2024 Discussion of problem 2
27.05.2024 Discussion of problem 3
10.06.2024 Discussion of problem 4
24.06.2024 Discussion of problem 5
08.07.2024 Discussion of problem 6
   
23.07.2024 Exam starts at 11:15
up
  • The lectures are on Tuesday from 11:15 to 13:00 in Philosphenweg 19. 
  • The tutorials are on Monday from 9:15 to 11:00 in Philosophenweg 19.
  • The first lecture is on Tuesday the 16th of April.
  • The first tutorial is on Monday the 29th