Berlin 2024 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 57: Topology: Poster

TT 57.23: Poster

Mittwoch, 20. März 2024, 15:00–18:00, Poster E

Fractonic excitations in the U(1)-enriched toric code? — •Maximilian Vieweg and Kai Phillip Schmidt — Department of Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

We study the properties of different symmetry sectors in the U(1)-enriched toric code[1]. Only distinct symmetry sectors posses states which exhibit maximal connectivity in the Hilbert space. We argue that these symmetry sectors have a ground state energy that lies bellow other symmetry sectors without such states. This claim is consistent with our ED calculation and previous QMC calculations done by Kai-Hsin Wu et al.[1]. This leads to energy barriers which restrict the mobility of plaquette excitations under small magnetic perturbations in complete analogy to fracton excitations. Furthermore we use perturbation theory on a finite system to study the kinetic hopping processes of these excitations.

[1] K.-H. Wu, A. Khudorozhkov, G. Delfino, D. Green, C. Chamon, Phys. Rev. B 108 (2023) 115159

Keywords: Toric Code; Topological Order; Fracton