DMFT: From Infinite Dimensions to Real Materials

Přispěvatelé: Pavarini, Eva, Koch, Erik, Lichtenstein, Alexander, Vollhardt, Dieter
Jazyk: angličtina
Rok vydání: 2018
Zdroj: Jülich : Forschungszentrum Jülich GmbH Zentralbibliothek, Velag, Schriften des Forschungszentrums Jülich. Reihe modeling and simulation 8, getr. Zählung (2018).
Autumn School on Correlated Electrons, correl18, Jülich, Germany, 2018-09-17-2018-09-21
Popis: Since the beginning of quantum mechanics, emergent many-body phenomena represent the grand-challenge in theoretical condensed-matter physics. Indeed, static mean-field approaches fail to capture even the simplest many-body effects, while diagrammatic techniques generally fail in the regime characteristic of strong correlations. The introduction of dynamical meanfield theory (DMFT) has revolutionized this field. Two insights paved the way to this paradigm shift. The first is that in the limit of infinite dimensions all contributions to the self-energy become local. The second is that the locality of the self-energy makes it possible to build a new type of mean-field theory, dynamical in nature, by mapping a correlated lattice problem onto a self-consistent quantum-impurity model. In the last decades, thanks to advances in model building combined with the development of flexible and numerically exact quantum-impurity solvers, DMFT was successfully linked with ab-initio density-functional techniques, making it the method of choice for the investigation of correlated electron materials. This year’s school covers the most important aspects of the DMFT approach to real materials. Lectures range from the basics to advanced topics, covering the DFT + DMFT method, non-local extensions of DMFT, advanced quantum impurity solvers, the calculation of dynamical response functions, and the description of correlation effects out of equilibrium. 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. 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 Center for Electronic Correlations and Magnetism at the University of Augsburg offered housing support for the lecturers and some of the students, while the Institute for Complex Adaptive Matter (ICAM) provided travel grants for 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 J¨ulich and to Mrs. N. Daivandy of the Jülich Supercomputer Centre 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, Esmaeel Sarvestani, and Qian 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.
Databáze: OpenAIRE