Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 17: Poster Session: Correlated Electrons 1

TT 17.14: Poster

Montag, 1. April 2019, 15:00–18:30, Poster D

Emergence of gauge fields in the rotating polaron problem — •Mikhail Maslov, Enderalp Yakaboylu, and Mikhail Lemeshko — Institute of Science and Technology, Klosterneuburg, Austria

In a recent article [1], it was shown that in any impurity problem a many-body environment manifests itself as an external gauge field with respect to the impurity interacting with it. Here, we apply this method to the so-called rotating polaron problem, which is a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath [2], and study its geometric and topological properties. We show that within the perturbation theory approach in the internal angular space of the impurity the emerging gauge field corresponds to a non-Abelian magnetic monopole. Furthermore, we are able to define the second Chern number in the total coordinate of the impurity.
E. Yakaboylu, A. Deuchert, and M. Lemeshko, Phys. Rev. Lett. 119, 235301 (2017)
E. Yakaboylu, B. Midya, A. Deuchert, N. Leopold, and M. Lemeshko, arXiv:1809.01204 (2018)