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

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arxiv 1604.06700 v2 pith:O7KGWCY7 submitted 2016-04-22 cond-mat.str-el

Wei.Su , M.N.Chen , L. B. Shao , L. Sheng , D. Y. Xing This is my paper · ORCID
classification cond-mat.str-el
keywords interactionchaostopologyfullweakappearavoidedbreaking
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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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