Physikalisches Kolloquium

July 16, 2024 at 4:15 p.m. in HS KPHProf. Dr. Hans Jockers

Institut für Physik

jockers@uni-mainz.de

Prof. Dr. Concettina Sfienti

Institut für Kernphysik

sfienti@uni-mainz.de

Prof. Dr. Reinhard Noack (Philipps University Marburg)

Correlated Electrons from Zero to Infinite Dimensions: Early Days of KOMET 7 in Mainz.

I will talk about the problems in correlated electron systems that occupied us in the early days of the KOMET 7 research group headed by Peter van Dongen. These problems include quantum impurity problems as well as the dynamical mean field theory (DMFT), i.e., correlated electrons in the infinite-dimensional limit. At first glance, these two problems are very different because the impurity problem is in a sense zero-dimensional, whereas the DMFT is formally infinite-dimensional. However, the effective problems and solution methods of these two problems are losely related, and both approaches can be used to describe the behavior of real three-dimensional materials. In addition, a major activity of group members has been to develop and use matrix-product-state and tensor-network methods, especially the density matrix renormalization group.

These methods are ideally suited to study quasi-one-dimensional and two-dimensional strongly correlated systems. They can be applied to a variety of

systems ranging from transition-metal coumpounds such as the cuprates to organometallic materials such as Bechgaard salts as well as to quantum simulators formed from cold atomic gases on optical lattices.

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