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

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