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Intrinsic Non-linearity of Josephson Junctions as an Alternative Origin of the Missing First Shapiro Step

Mesoscale and Nanoscale Physics 2025-10-24 v1

Abstract

The missing first Shapiro step in microwave-irradiated Josephson junctions has been widely interpreted as a hallmark of Majorana bound states. However, conventional mechanisms like junction underdamping or Joule heating can produce similar signatures. Here, we demonstrate that the intrinsic non-linear current-voltage characteristic of low-to-moderate transparency junctions can also suppress the first step, accompanied by distinctive zigzag boundaries between the zeroth and first step at intermediate driving frequencies. Microwave measurements on Al/WTe2 junctions and numerical simulations of a non-linear resistively and capacitively shunted junction model reveal the first step collapse induced by switching jumps of current, together with zigzag features absent in scenarios solely driven by finite \b{eta} or Joule heating. This zigzag signature therefore provides a crucial diagnostic tool, emphasizing the necessity of comprehensive analysis of microwave spectra before attributing the absence of the first Shapiro step to Majorana physics.

Keywords

Cite

@article{arxiv.2510.20130,
  title  = {Intrinsic Non-linearity of Josephson Junctions as an Alternative Origin of the Missing First Shapiro Step},
  author = {Lei Xu and Shuhang Mai and Manzhang Xu and Xue Yang and Lihong Hu and Xinyi Zheng and Sicheng Zhou and Siyuan Zhou and Bingbing Tong and Xiaohui Song and Jie Shen and Zhaozheng Lyu and Ziwei Dou and Xiunian Jing and Fanming Qu and Peiling Li and Guangtong Liu and Li Lu},
  journal= {arXiv preprint arXiv:2510.20130},
  year   = {2025}
}

Comments

18 pages, 4 figures