Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

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

DY 49.11: Talk

Thursday, April 4, 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.
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E. Berg, E. G. D. Torre, T. Giamarchi, and E. Altman, Phys. Rev. B 77, 245119 (2008)