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TT: Fachverband Tiefe Temperaturen

TT 23: Correlated Electrons – Poster I

TT 23.4: Poster

Montag, 9. März 2026, 18:00–20:00, P1

Exploring Quantum Phases of Magnetic Skyrmions — •Marc Currle, Sopheak Sorn, and Markus Garst — Karlsruhe Institute of Technology, Karlsruhe, Germany

The topological skyrmion density in the continuum theory of two-dimensional magnets obeys both a dipole conservation law and the Girvin-MacDonald-Platzman algebra, suggesting a close correspondence with the quantum Hall problem [1]. Motivated by this observation, we explore quantum phases of skyrmions using analogies with integer and fractional quantum Hall states. Employing an effective description in terms of collective coordinates for skyrmions, we demonstrate that quantum states of the skyrmion many-body system can be represented as holomorphic wavefunctions similar to the states within the lowest Landau level. We highlight the consequences of this correspondence, in particular, the possibility of systematically applying methods from quantum Hall physics to identify skyrmion liquid states.
[1] S. Sorn, J. Schmalian, M. Garst, Phys. Rev. X 15, 041037 (2025)

Keywords: Quantum Skyrmions; Fractional Quantum Hall Effect; Laughlin Liquid; Wigner Crystal; Phase Diagram