Correlated systems are characterized by strong electron-electron interactions, resulting in many-body effects eluding a static mean-field description. They thus proved largely intractable until the development of dynamical mean-field theory (DMFT). In this approach, mapping the lattice onto an auxiliary impurity problem gives a local dynamical self-energy, which captures the essence of electronic correlations. DMFT is exact in the limit of infinite dimensions, and often provides an excellent approximation for real crystal structures. This crucial insight represented a paradigm shift in the study of correlations. Solving ever more complex impurity problems nowadays allows the simulation of real materials, making contact with experiment via the calculation of spectra, dynamical response functions, and non-equilibrium properties. Even subtle non-local effects can be captured using various approaches, including clusters of impurities or diagrammatic expansions. Thus DMFT finds application not only in correlated bulk systems but also in heterostructures, and can even be employed to understand the properties of topological phases of strongly correlated electron systems.
This year's school will introduce the concept of dynamical mean fields and explore how it can be used to understand the physics of real materials. Lectures will range from Fermi liquids and the limit of infinite dimensions to the physics of quantum impurities and their relation to the properties of correlated lattice systems.
The goal of the school is to introduce advanced graduate students and up to this modern method for the realistic modeling of strongly correlated matter.
Click on the lecture for the slides.
| Tue 4 Oct | Wed 5 Oct | Thu 6 Oct | Fri 7 Oct | |
|---|---|---|---|---|
| 09:00 | Welcome | Fermi Liquids G. Vignale |
LDA+DMFT A. Lichtenstein |
Beyond DMFT K. Held |
| 10:30 | Coffee Break | |||
| 11:00 | Why ∞ Dimensions? D. Vollhardt |
Photo Posters | QMC P. Werner |
Topological Phases M. Potthoff |
| 12:30 | Lunch | |||
| 14:00 | Quantum Impurities J. von Delft |
Response Functions E. Pavarini |
Analytic Continuation E. Koch |
Bus to Aachen |
| 15:30 | Coffee Break | |||
| 16:00 | Machine Learning C. Weber |
Oxide Heterostructures F. Lechermann |
Non-Equilibrium M. Eckstein |
|
| 17:30 | Discussion | |||
| 18:00 | Bus to Aachen | Poster Session Buffet |
Bus to Aachen | |
| 21:00 | Bus to Aachen | |||
Venue: The school will take place from 4-7 October 2022 at the Forschungszentrum Jülich, in the Lecture Hall of the Peter-Grünberg Institute, building 4.8, room 365.
Participation: The school is intended for advanced graduate or PhD students and postdocs in the field of electronic structure of materials.
Admission: Interested students should apply before May 31, 2022 through the registration form. Accepted applicants will be informed via e-mail two weeks after the deadline for applications.
Accommodation: Students can apply for financial support to cover accommodation costs. Participants supported by the school will be accommodated in the Aachen Youth Hostel. Funding for accommodations is limited.
ICAM Junior Travel Awards: Eligible candidates can apply for an ICAM Junior Travel Award. Funding is limited to about 10 students. For more information see the ICAM site and the registration form.
Transport: A shuttle bus will be operating in the mornings and evenings between the Youth Hostel in Aachen and the Forschungszentrum Jülich. The bus will leave in the morning from Aachen Jugendherberge. There will also be a shuttle from Jülich, from Stadthotel Jülich.
Other ways to reach the Forschungszentrum.
Hotels in Aachen and Jülich: Participants for whom no low-cost accommodation can be found or who wish to stay in a hotel may find hotels at these web-sites: Jülich and Aachen.
The lecture notes have been published as an OpenAccess book:
Eva Pavarini, Erik Koch, Alexander Lichtenstein, and Dieter Vollhardt (eds.)
Dynamical Mean-Field Theory of Correlated Electrons
Modeling and Simulation, Vol. 12
Verlag des Forschungszentrum Jülich, 2022
ISBN 978-3-95806-619-9
