Electron-electron interaction effects in Floquet topological superconducting chains: Suppression of topological edge states and crossover from weak to strong chaos

W. Su; M. N. Chen; L. B. Shao; L. Sheng; D. Y. Xing

doi:10.1103/PhysRevB.94.075145

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Electron-electron interaction effects in Floquet topological superconducting chains: Suppression of topological edge states and crossover from weak to strong chaos

W. Su, M. N. Chen, L. B. Shao, L. Sheng, D. Y. Xing

DOI 10.1103/PhysRevB.94.075145 · Physical Review B

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Abstract

We study the effects of electron-electron interaction in a Floquet topological superconducting chain using the exact diagonalization and the dynamics simulation of quenching process. It is found that a weak interaction can lead to a multitude of tiny avoided crossings in quasienergy spectra, indicating the emergence of chaos, and that the Floquet topological superconducting state can be robust against the weak chaos. With increasing the interaction strength, there is a crossover from weak to strong chaos. On the other hand, the survival probability of Majorana edge modes vanishes and so the Floquet system is transformed into a topologically trivial phase.