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000864818 1001_ $$0P:(DE-Juel1)130881$$aPavarini, Eva$$b0$$eEditor$$gfemale$$ufzj
000864818 1112_ $$aAutumn School on Correlated Electrons$$cJülich$$d2019-09-16 - 2019-09-20$$gcorrel19$$wGermany
000864818 245__ $$aMany-Body Methods for Real Materials
000864818 260__ $$aJülich$$bForschungszentrum Jülich GmbH Zentralbibliothek, Verlag$$c2019
000864818 300__ $$agetr. Zählung
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000864818 4900_ $$aSchriften des Forschungszentrums Jülich. Modeling and Simulation$$v9
000864818 520__ $$aEmergent 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. A school of this size and scope requires support and help from many sources. We are very grateful for all the financial and practical support we have received. The Institute for Advanced Simulation at the Forschungszentrum Jülich and the Jülich Supercomputer Centre provided the major part of the funding and were vital for the organization of the school and the production of this book. The Institute for Complex Adaptive Matter (ICAM) supported selected international speakers and participants. The nature of a school makes it desirable to have the lecture notes available when the lectures are given. This way students get the chance to work through the lectures thoroughly while their memory is still fresh. We are therefore extremely grateful to the lecturers that, despite tight deadlines, provided their manuscripts in time for the production of this book. We are confident that the lecture notes collected here will not only serve the participants of the school but will also be useful for other students entering the exciting field of strongly correlated materials. We are grateful to Mrs. H. Lexis of the Verlag des Forschungszentrum Jülich and to Mrs. D. Mans of the Grafische Betriebe for providing their expert support in producing the present volume on a tight schedule. We heartily thank our students and postdocs who helped with proofreading the manuscripts, often on quite short notice: Julian Mußhoff, Neda Samani, Qian Zhang, and Xue-Jing Zhang. Finally, our special thanks go to Dipl.-Ing. R. Hölzle for his invaluable advice on the innumerable questions concerning the organization of such an endeavor, and to Mrs. L. Snyders for expertly handling all practical issues.
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