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Regensburg 2019 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 49: Quantum-Critical Phenomena (joint session TT/DY)

DY 49.11: 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 [1]. 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 [2]. 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.
T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, Nat. Comm. 2, 361 (2011)
E. Berg, E. G. D. Torre, T. Giamarchi, and E. Altman, Phys. Rev. B 77, 245119 (2008)

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