Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 4: Topological Insulators

TT 4.10: Talk

Monday, March 17, 2025, 12:00–12:15, H33

Local and energy-resolved topological invariants for Floquet systems — •Arnob Kumar Ghosh, Rodrigo Arouca, and Annica M. Black-Schaffer — Department of Physics and Astronomy, Uppsala University, Box 516, 75120 Uppsala, Sweden

Periodically driven systems offer a perfect breeding ground for out-of-equilibrium engineering of topological boundary states at zero energy (0-mode), as well as finite energy (π-mode), with the latter having no static analog. The Floquet operator and the effective Floquet Hamiltonian, which encapsulate the stroboscopic features of the driven system, capture both spectral and localization properties of the 0- and π-modes but sometimes fail to provide complete topological characterization, especially when 0- and π-modes coexist. In this work [1], we utilize the spectral localizer, a powerful local probe that can provide numerically efficient, spatially local, and energy-resolved topological characterization. In particular, we apply the spectral localizer to the effective Floquet Hamiltonian for driven one- and two-dimensional topological systems with no or limited symmetries and are able to assign topological invariants, or local markers, that characterize the 0- and the π-boundary modes individually and unambiguously. Due to the spatial resolution, we also demonstrate that the extracted topological invariants are suitable for studying driven disordered systems and can even capture disorder-induced phase transitions.

[1] A.K.Ghosh, R.Arouca, A.M.Black-Schaffer, arXiv:2408.08548.

Keywords: Floquet systems; Topological invariant; Anomalous modes; Disordered system; Local topological marker