Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos

Abstract

The effect of electron-electron interaction on Floquet topological superconducting chains is investigated numerically through full diagonalization and time evolution. The preservation of topology in the weak interacting regime is represented by a many-body form of the Majorana survival probability, and the emergence of chaos is characterized using the level statistics. In the presence of weak interaction, there appear a multitude of avoided crossings in quasi-energy spectra, and the resulting chaos is not full but can coexist with the topology. Strong interaction will lead the system into a topologically trivial and fully chaotic phase.

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• Majorana edge states in interacting one-dimensional systems
• Classification of topological phases in periodically driven interacting systems
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Cited by in corpus (5)

• Effects of interactions on periodically driven dynamically localized systems
• Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice
• Effects of local periodic driving on transport and generation of bound states
• Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term