Robust Majorana edge modes with low frequency multiple time periodic driving

Authors：Wang, Huan-Yu; Znuan, Lin; Gao, Xian-Long; Zhao, Xing-Dong; Liu, Wu-Ming

Source：Journal of Physics Condensed Matter, 2020, 32(35): 355404.

DOI：10.1088/1361-648X/ab8ddd

• multiple time periodical driving
• Floquet Majorana edge modes
• Zak phase

Floquet Majorana edge modes capture the topological features of periodically driven p-wave superconductors. We present a Kitaev chain with multiple time periodic driving terms. Our results demonstrate how multiple driving will affect Floquet bands in frequency space, leading to more robust Floquet Majorana edge modes against driving frequency omega in comparison with the single driving scenario. Meanwhile, we have proposed how to predict Majorana edge modes via the Zak phase of Floquet bands. Besides, in contrast to the cases with single driving term, where the constant phase can be gauged out by properly choosing the initial time, we have shown the relative phase between multiple driving can not be gauged out and will play a dominant role in deciding topological phase transitions. For the sake of completeness, we also investigate the high frequency limit. Analytical results on effective Hamiltonian can be obtained via Magnus expansion and relative phase induced topological transitions can be shown explicitly.

• Institution
  河南师范大学; 浙江师范大学; 中山大学; 中国科学院研究生院