Regensburg 2019 – wissenschaftliches Programm
TT 60.11: Vortrag
Donnerstag, 4. April 2019, 17:45–18:00, H23
Statistically induced quantum phase-transitions in the extended Anyon-Hubbard model — •Martin Bonkhoff, Kevin Jägering, Shijie Hu, Imke Schneider, Axel Pelster, and Sebastian Eggert — Departement of Physics, University of Kaiserslautern, 67663 Kaiserslautern, Germany
Recently it has been shown that one-dimensional abelian anyons can be realized via density dependent Peierls-phases in bosonic models . Furthermore extended interactions as well as a particle number constraint in bosonic Hubbard models can lead to a Symmetry-Protected-Topological (SPT) Haldane insulator phase . We study the fate of SPT-order under statistical transmutation, and additionally observe a new gapped dimerized phase for attractive on-site interaction.
By the technique of bosonization, we establish a unified low-energy field theory characterizing phases and relevant quantum phase transitions in the whole parameter region. We analyze the mechanism behind statistically induced phase transitions in combination with large-scale numerical simulations by the density-matrix renormalization group method.
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