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TT: Fachverband Tiefe Temperaturen

TT 41: Topological Semimetals

TT 41.11: Vortrag

Mittwoch, 11. März 2026, 12:15–12:30, HSZ/0103

Correlated Hopf Insulators — •Konstantinos Ladovrechis¹ and Shouvik Sur² — ¹Ruhr Universität Bochum, Germany — ²Rice University, USA

Hopf insulators represent an exceptional class of topological matter, unanticipated by the periodic table of topological invariants. These systems point to the existence of previously unexplored states of matter with unconventional topology. In this work, we take a step toward exploring this direction by investigating correlation-driven instabilities of Hopf insulators. Organizing our analysis around the topological quantum critical point that separates the Hopf insulating phase from a trivial insulator, we demonstrate the emergence of unconventional Weyl semimetallic and topological insulating states. Notably, upon doping, the Weyl semimetal supports non-reciprocal superconductivity and a Bogoliubov-Fermi surface, potentially providing a novel framework for realizing the superconducting diode effect. Finally, we highlight the interconnectedness of the effective descriptions of correlated Hopf insulators, two-dimensional quadratic band-touching semimetals, and Luttinger semimetals.

Keywords: Hopf insulators; Quantum Phase Transition; Topological Systems; Phase Diagram