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

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Main Authors: Xu, Lei, Mai, Shuhang, Xu, Manzhang, Yang, Xue, Hu, Lihong, Zheng, Xinyi, Zhou, Sicheng, Zhou, Siyuan, Tong, Bingbing, Song, Xiaohui, Shen, Jie, Lyu, Zhaozheng, Dou, Ziwei, Jing, Xiunian, Qu, Fanming, Li, Peiling, Liu, Guangtong, Lu, Li
Format: Preprint
Published: 2025
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author Xu, Lei
Mai, Shuhang
Xu, Manzhang
Yang, Xue
Hu, Lihong
Zheng, Xinyi
Zhou, Sicheng
Zhou, Siyuan
Tong, Bingbing
Song, Xiaohui
Shen, Jie
Lyu, Zhaozheng
Dou, Ziwei
Jing, Xiunian
Qu, Fanming
Li, Peiling
Liu, Guangtong
Lu, Li
author_facet Xu, Lei
Mai, Shuhang
Xu, Manzhang
Yang, Xue
Hu, Lihong
Zheng, Xinyi
Zhou, Sicheng
Zhou, Siyuan
Tong, Bingbing
Song, Xiaohui
Shen, Jie
Lyu, Zhaozheng
Dou, Ziwei
Jing, Xiunian
Qu, Fanming
Li, Peiling
Liu, Guangtong
Lu, Li
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20130
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Intrinsic Non-linearity of Josephson Junctions as an Alternative Origin of the Missing First Shapiro Step
Xu, Lei
Mai, Shuhang
Xu, Manzhang
Yang, Xue
Hu, Lihong
Zheng, Xinyi
Zhou, Sicheng
Zhou, Siyuan
Tong, Bingbing
Song, Xiaohui
Shen, Jie
Lyu, Zhaozheng
Dou, Ziwei
Jing, Xiunian
Qu, Fanming
Li, Peiling
Liu, Guangtong
Lu, Li
Mesoscale and Nanoscale Physics
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.
title Intrinsic Non-linearity of Josephson Junctions as an Alternative Origin of the Missing First Shapiro Step
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2510.20130