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Universal Fluctuations of Floquet Topological Invariants at Low Frequencies

MPG-Autoren
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Seradjeh,  Babak
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1706.05303.pdf
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Zitation

Rodriguez-Vega, M., & Seradjeh, B. (2018). Universal Fluctuations of Floquet Topological Invariants at Low Frequencies. Physical Review Letters, 121(3): 036402. doi:10.1103/PhysRevLett.121.036402.


Zitierlink: http://hdl.handle.net/21.11116/0000-0001-F07E-3
Zusammenfassung
We study the low-frequency dynamics of periodically driven one-dimensional systems hosting Floquet topological phases. We show, both analytically and numerically, in the low frequency limit Omega -> 0, the topological invariants of a chirally symmetric driven system exhibit universal fluctuations. While the topological invariants in this limit nearly vanish on average over a small range of frequencies, we find that they follow a universal Gaussian distribution with a width that scales as 1 root Omega. We explain this scaling based on a diffusive structure of the winding numbers of the Floquet-Bloch evolution operator at low frequency. We also find that the maximum quasienergy gap remains finite and scales as Omega(2). Thus, we argue that the adiabatic limit of a Floquet topological insulator is highly structured, with universal fluctuations persisting down to very low frequencies.