Emergent many-body phenomena are at the core of the exciting properties of strongly correlated materials. Understanding them requires confronting the many-body problem. While, at first, this appears to be an impossible task, substantial progress has been made by combining physical insights with modern numerical approaches. A successful strategy is to devise methods that use the understanding gained from simple models for the construction of physically motivated wave-functions. Results for the ground state of real materials can then be obtained by optimizing them via deterministic or stochastic algorithms. The methods of choice for determining spectra are instead based on Green functions. The key idea is to map the complex realistic many-body Hamiltonian to a simpler auxiliary model that can be solved numerically.
This year’s school will provide an overview of the state-of-the art of these techniques, their successes and their limitations. After introducing fundamental models and key concepts, lectures will focus on quantum Monte Carlo for optimizing correlated wave-functions, stochastically sampling series expansions for obtaining Green functions, and renormalization group techniques. Advanced lectures will address approaches to Mott physics, transport phenomena, and out-of-equilibrium dynamics. Applications will cover correlated systems ranging from transition metal compounds and frustrated spin systems to correlated molecules.
The goal of the school is to introduce advanced graduate students and up to these modern approaches for the realistic modeling of strongly correlated materials.
Click on the lecture for the slides.
| Mon 16 Sept | Tue 17 Sept | Wed 18 Sept | Thu 19 Sept | Fri 20 Sept | |
|---|---|---|---|---|---|
| 09:00 | DFT X. Blase |
Lanczos E. Koch |
LDA+DMFT E. Pavarini |
Σ & Luttinger-Ward R. Eder |
Diagrammatic MC N. Prokof'ev |
| 10:30 | Coffee Break | ||||
| 11:00 | RPA X. Ren |
Photo Posters | Mott Transition M. Rozenberg tutorial |
Non-Equilibrium J. Freericks |
Stochastic Series Expansion A. Sandvik |
| 12:30 | Lunch | ||||
| 14:00 | VMC & PMC C. Umrigar |
Algebraic Methods G. Ortiz |
DMRG K. Hallberg |
AFQMC S. Zhang |
Bus to Aachen |
| 15:30 | Coffee Break | ||||
| 16:00 | Wavefunction Optimization A. Lüchow |
Tensor Networks M. Stoudenmire |
Electronic Transport A. Donarini |
Variational Wavefunctions F. Becca |
|
| 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 16 to 20 September 2019 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, 2019 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: We might be able to provide a limited number of ICAM Junior Travel Awards. Eligible candidates can apply. 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 at 7:45 from the Busparkplatz at Aachen Jugendherberge. There will also be a shuttle from Jülich, leaving at 8:30 in front of 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, and Shiwei Zhang (eds.)
Many-Body Methods for Real Materials
Modeling and Simulation, Vol. 9
Verlag des Forschungszentrum Jülich, 2019
ISBN 978-3-95806-400-3
