16-20 September 2019, Forschungszentrum Jülich

school website

Scope

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.