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TT: Fachverband Tiefe Temperaturen
TT 83: Topology: Quantum Hall Systems
TT 83.10: Vortrag
Donnerstag, 12. März 2026, 17:30–17:45, HSZ/0105
From hidden order to skyrmions: Quantum Hall states in an extended Hofstadter-Fermi-Hubbard model — Fabian J. Pauw1, Ulrich Schollwöck1, Nathan Goldman2, 3, Sebastian Paeckel1, and •Felix A. Palm2 — 1LMU Munich & MCQST, Munich, Germany — 2Université Libre de Bruxelles, Brussels, Belgium — 3Laboratoire Kastler Brossel, Collège de France, Paris, France
The interplay between topology and strong interactions gives rise to a variety of exotic quantum phases, including fractional quantum Hall (FQH) states and their lattice analogs - fractional Chern insulators (FCIs). Such topologically ordered states host fractionalized excitations, which for spinful systems are often accompanied by ferromagnetism and skyrmions. Here, we study an extended Hofstadter-Hubbard model of spinful fermions on a square lattice. Using DMRG simulations, we demonstrate the emergence of a spin-polarized 1/3-Laughlin-like FCI phase, characterized by a quantized many-body Chern number, a finite charge gap, and hidden off-diagonal long-range order. In contrast to systems at filling factor ν=1, we do not find skyrmionic excitations upon doping, thereby disentangling spin physics and topological order. The diagnostic toolbox presented in this work, based on local densities, correlation functions, and spin-resolved observables, is directly applicable in quantum gas microscopy experiments. Our results open new pathways for experimental exploration of FCIs with spin textures in both ultracold atom and electronic systems.
Keywords: fractional quantum Hall effect; Hubbard model; hidden order; skyrmions