On Monday January 30, 2023 was the seminar of Hanna Terletska, which presented her work Electron localization in quantum materials using dynamical cluster  approach.

The recording of the seminar is available on YouTube.

Electron localization in quantum materials using dynamical cluster  approach

Understanding the fundamental mechanisms behind the exotic phases of matter emerging in quantum materials is a grand challenge, which must be overcome to maximize technological advancement. Due to the complexity of the many-electron problem numerical treatment is often required. Over the past decades, numerical analysis has become a very powerful tool for studying strongly correlated electron systems, both clean and materials with defects.

In this talk, I will present our recent results on numerical modeling of electron localization using the quantum many-body techniques for strongly-corelated and disordered electron systems. Electron localization (driven by electron interactions or disorder) is a key feature of numerous quantum materials. Various exotic phases of matter with dramatic changes in electronic, magnetic, transport properties find their roots at electron localized states. Hence, its understanding is critical for further control and optimization of quantum materials and their applications. In this talk, I will first present our results on electron localization in the Hubbard model and beyond using the Dynamical Mean Field Theory and its cluster extension. I will demonstrate how the Mott metal-insulator transition can be described in the framework of the quantum critical phase transition. These theoretical predictions have been recently confirmed experimentally by four independent experimental groups. I will also share our recent results on treating electron localization in disordered electron systems using the typical medium approach.

Acknowledgments: this work is supported by NSF CAREER grant # 1944974 and NSF OAC grant # 1931367.