Prof. Dr. Nils Blümer

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Attention: these pages are mostly outdated! For current information on Nils Blümer, see web pages at the KU.

Numerical methods for correlated electron systems

Vorlesung im Wintersemester 2014
N. Blümer, M. Rizzi

Formalia

Stundenzahl: 2 V

Zeit und Ort: Mo 10-12 Uhr im Galilei-Raum

Zielgruppe: Studierende ab 9. Semester, Doktoranden, Kollegen

Sprechstunde: nach der Vorlesung und nach Vereinbarung

Lecture contents

The lecture is given in english.

Overview

  • Monte Carlo (MC) simulations (classical)
  • Analysis of time series
  • Introduction to Hubbard model (fermionic)
  • Density matrix renormalization group (DMRG)
  • Dynamical mean-field theory (DMFT)
  • Quantum Monte Carlo (QMC) algorithms
  • Computation of Spectra
  • (advanced topics: bosons? TNS?)

Lecture notes

03.11.14 Lecture 1
  • Overview
  • Chapter 1: Monte Carlo simulations (classical):
  • 1.1 Intro: "simulations" of classical systems: comparison molecular dynamics (MD) vs. Monte Carlo (MC)
  • 1.2 Monte Carlo method: motivation: computation of high-dimensional integrals - problems of deterministic approach (discretization)
  • 1.3 Simple Monte Carlo (no importance sampling)
  • 1.4 Monte Carlo with importance sampling
10.11.14 Lecture 2
  • 1.5 Markov chain Monte Carlo
  • ...
24.11.14 Lecture 3
URL: http://dmft.org/Bluemer/lectures_WS2014.en.shtml

Last changed: 24-Nov-14