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TT: Fachverband Tiefe Temperaturen
TT 45: Correlated Electrons: 1D Theory
TT 45.8: Talk
Thursday, March 30, 2023, 11:30–11:45, HSZ 103
Statistics induced phase transitions in the extended bosonic anyon Hubbard model — •Imke Schneider1, Kevin Jägering1, Martin Bonkhoff1, Shijie Hu2, Axel Pelster1, and Sebastian Eggert1 — 1Department of Physics and Research Center Optimas, Technical University of Kaiserslautern, 67663 Kaiserslautern, Germany — 2Beijing Computational Science Research Center, Beijing 100193, China
We study a 1D extended Hubbard model of anyons with statistical exchange phases ranging from bosons to pseudo-fermions. The model can be realized in optical lattice experiments implementing occupation-dependent hopping amplitudes. We enforce a two-body hard-core constraint and numerically determine the full phase diagram including attractive on-site interactions. Surprisingly, the symmetry protected topological Haldane phase remains robust up to large statistical angles close to the pseudo-fermionic limit. However, for a critical angle the phase diagram qualitatively changes involving a dimer phase while the Haldane phase disappears. This behavior is analytically described by an adapted bosonization approach.