Mott Transitions in Topological Systems
ORAL · Invited
Abstract
Recent results relating to correlation-driven ("Mott" and "Wigner crystal") metal-insulator transitions in systems with non-negligible quantum geometry and band topology are reviewed. The extent to which concepts from topological transition in non-interacting systems may be carried over to Mott and similar transitions is considered and the relation of topological quantum numbers to Green function zeros and to edge states is discussed in the contexts of approximate analytical ("slave rotor") and numerical ("ghost Gutzwiller", density matrix renormalization group, dynamical mean field theory, quantum Monte Carlo) methods. Possible experimental realizations in bulk and Moire quantum materials are mentioned and future directions for research are outlined. My understanding of this subject owes a substantial debt to many colleagues and collaborators including Valentin Crepel, Stefan Divic, Michele Fabrizio,Antoine Georges, Daniele Guerci, Jed Pixley, Georgio Sangiovanni, Tomohiro Soejima, Patrick Tscheppe, Niklas Wagner, Timothy Wehling, Steven White and Yongxin Zeng.
*Partly supported by Programmable Quantum Materials, an Energy Frontier Research Center funded by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences (BES), under award DE-SC0019443 and by the NSF through the Columbia University Materials Research Science and Engineering Center (MRSEC) on Precision-Assembled Quantum Materials DMR-2011738. The Flatiron Institute is a division of the Simons foundation.
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Publication: The talk is partly based on results in PRL 133, 126504 (2024), Phys. Rev. B 110, 165128, arXiv:2506.22325, Phys. Rev. X 15, 031059 (2025), Proc. Natl. Acad. Sci. U.S.A. 122, e2426680122 (2025)
Presenters
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Andrew J Millis
- Columbia University
- Flatiron Institute, Columbia University