Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 83: Topology: Quantum Hall Systems
TT 83.1: Vortrag
Donnerstag, 12. März 2026, 15:00–15:15, HSZ/0105
Many-body Euler topology — •Axel Fünfhaus1, Titus Neupert2, Thilo Kopp3, and Roser Valentí1 — 1Goethe Uni Frankfurt, Frankfurt am Main, Germany — 2University of Zurich, Zurich, Switzerland — 3University of Augsburg, Augsburg, Germany
Chern insulators exhibit an anomalous nonzero Hall conductivity due to a spontaneous breaking of time-reversal symmetry. To identify nontrivial topology in their time-reversal symmetric many-body spectra, we identify many-body Euler numbers as a counterpart to many-body Chern numbers. Exemplarily, we perform calculations in a topological Hubbard model that can realize Chern and fractional Chern insulating phases. Furthermore, we lay out a classification scheme to realize different topological phases using symmetry indicators in analogy to topological band theory.
Keywords: Interactions; Hofstadter model; Spontaneous time reversal symmetry breaking; Exact diagonalization