Abstract

Online-Edition of the Autumn School on Correlated Electrons. Topology and entanglement are key concepts in many-body physics. Understanding the associated emergent phenomena beyond toy models — in the world of real strongly-correlated materials — requires the mastery of a wealth of different methods. These encompass analytical tools such as group theory, first principles techniques based on density-functional theory, materials-specific model-building schemes, as well as advanced modern numerical approaches for solving realistic many-body models. This year’s school will provide students with an overview of the state-of-the art of these methods, their successes and their limitations. After introducing the basics, lectures will present the core concepts of topology and entanglement in many-body systems. To make contact to real materials, strategies for building materials specific models and techniques for their solution will be introduced. Among the latter, the school will cover quantum Monte Carlo methods, construction and optimization of correlated wave-functions, recursion and renormalization group techniques, as well as dynamical mean-field theory. More advanced lectures will give a pedagogical overview on topological materials and their physics: topological metals, semimetals, and superconductors. Towards the end of the school entanglement in quantum dynamics and perspectives in quantum computation will be discussed. 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. The school this year will be online.