Numerical simulation of topological and exotic states of quantum matter (C01)

• Subject Area: Theoretical Condensed Matter Physics
• Term: from 2015 to 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258499086

Electronic correlations can dynamically generate novel states of matter with very different properties than the underlying free-electron system. In this grant proposal, we will place emphasis on standard models of interacting fermions where the emergent phenomena are of a topological nature and/or lead to exotic phases and phase transitions. We will consider heavy-fermion systems, electron-phonon models in two spatial dimensions, and systems with a single Dirac cone in various dimensions. Our research builds on algorithmic advances that enable us to tackle an ever-growing range of models with negative-sign-free and approximation-free quantum Monte Carlo methods.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1170: Topological and Correlated Electronics at Surfaces and Interfaces ("ToCoTronics")
• Applicant Institution: Julius-Maximilians-Universität Würzburg
• Project Heads: Professor Dr. Fakher Fakhry Assaad; Dr. Martin Hohenadler, until 6/2019