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TT: Fachverband Tiefe Temperaturen
TT 33: Correlated Magnetism – Spin Liquids
TT 33.11: Vortrag
Mittwoch, 19. März 2025, 18:00–18:15, H33
Phases of the Anyonic Hubbard Ladder for Fibonacci Anyons — •Nico Kirchner1, Adam Gammon-Smith2, and Frank Pollmann1 — 1Technical University of Munich, TUM School of Natural Sciences — 2School of Physics and Astronomy, University of Nottingham
Two-dimensional systems such as quantum spin liquids may exhibit anyonic excitations that feature exchange statistics beyond the bosonic and fermionic cases. A fundamental question regarding such quasiparticles is how the richer exchange statistics influence their mutual interactions and which phases may arise in systems of anyons as a consequence. To study this topic, we consider the particular case of Fibonacci anyons subject to an anyonic Hubbard model with nearest-neighbor repulsion on a two-leg ladder. Focusing on half-filling, for low interaction strengths a metallic phase is found, whereas for strong repulsion, the anyons form a charge-density wave in real space. Within this regime, the effective interactions arising from the exchange statistics give rise to multiple distinct phases that can be distinguished using the scaling of the entanglement entropy and the spectra of matrix product state transfer matrices.
Keywords: anyons