YANG Liangliang; HE Kaiyong; DAI Genting; CHANG Jinlin; JIANG Linpan; SUN Zhenyuan; LIU Jianshe; CHEN Wei

doi:10.7498/aps.74.20250723

Abstract

Josephson junction, as the core nonlinear element underpinning superconducting electronics, is characterized by its current-phase relation (CPR), which fundamentally determines the dynamical properties and functional capabilities of superconducting quantum devices. Traditional Josephson junctions typically exhibit a traditional sinusoidal CPR; however, the junctions characterized by non-sinusoidal CPR have recently attracted considerable attention due to their distinctive physical properties and promising quantum device applications. In this work, a numerical model tailored specifically for junctions exhibiting non-sinusoidal CPR is developed by integrating experimentally measured current-voltage (I-V ) characteristics from Nb/Al-AlO_x/Nb junctions into a resistively and capacitively shunted junction (RCSJ) framework. By leveraging this refined model, the influence of CPR skewness on Josephson junction dynamics is systematically investigated. Our results indicate that in underdamped junctions, the critical current significantly diminishes with the increase of CPR skewness, a behavior reminiscent of the adjustable critical currents typically observed in DC superconducting quantum interference devices (SQUIDs). Conversely, in overdamped junctions, the influence of CPR skewness on the I-V characteristics is found to be negligible. However, our numerical simulations under microwave irradiation indicate that nonsinusoidal CPRs readily promote the emergence of half-integer Shapiro steps in overdamped junctions, thereby establishing CPR skewness as a plausible microscopic origin for this phenomenon. In addition, the advanced design system (ADS) simulations is employed to model nonlinear resonators and DC SQUID circuits, offering a detailed investigation into how nonsinusoidal CPRs modulate the Josephson inductance and magnetic flux response. Our findings reveal that engineering the CPR of Josephson junctions provides substantial flexibility in the design of superconducting qubits, parametric amplifiers, and non-magnetic nonreciprocal devices. This tunability underscores significant opportunities for developing next-generation superconducting electronic components. The Josephson junctions with engineered CPR offer expanded functionality for superconducting quantum technologies. This study suggests that customized CPR can enhance control over the dynamical behavior of junctions, and promote the optimized designs of superconducting qubits, parametric amplifiers, and nonmagnetic nonreciprocal devices.

Keywords:

Authors and contacts

Corresponding author: CHEN Wei, weichen@mail.tsinghua.edu.cn

Funds: The project supported by the National Key Research and Development Program of China (Grant No. 2022YFC2205101) and the Key R&D Program of Guangdong Province, China (Grant No. 2019B010143002).

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]

Cited By

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

map

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]

[1]	MA Jun, OUYANG Penghui, CHAI Yaqiang, JIANG Qingquan, HE Qing, WEI Lianfu. Control of microwave photon transmissions in microwave quantum networks by elastic scattering. Acta Physica Sinica, 2025, 74(16): 162501. doi: 10.7498/aps.74.20250404
[2]	Chu Chun-Guang, Wang An-Qi, Liao Zhi-Min. Josephson effect in topological semimetal-superconductor heterojunctions. Acta Physica Sinica, 2023, 72(8): 087401. doi: 10.7498/aps.72.20230397
[3]	Zhang Ding, Zhu Yu-Ying, Wang Heng, Xue Qi-Kun. Josephson effect in twisted cuprates. Acta Physica Sinica, 2023, 72(23): 237402. doi: 10.7498/aps.72.20231815
[4]	Hou Yan-Liang, Wang Xiang, Sun Xiao-Pei, Lü Li. Anomalous critical supercurrent and half-integer Shapiro steps based on Josephson junction of topological insulator nanowires. Acta Physica Sinica, 2023, 72(3): 037401. doi: 10.7498/aps.72.20222072
[5]	Li Zhong-Xiang, Wang Shu-Ya, Huang Zi-Qiang, Wang Chen, Mu Qing. Preparation of Al₂O₃ tunnel barrier layer in atome-level controlled Josephson junction. Acta Physica Sinica, 2022, 71(21): 218102. doi: 10.7498/aps.71.20220820
[6]	Li Chun-Guang, Wang Jia, Wu Yun, Wang Xu, Sun Liang, Dong Hui, Gao Bo, Li Hao, You Li-Xing, Lin Zhi-Rong, Ren Jie, Li Jing, Zhang Wen, He Qing, Wang Yi-Wen, Wei Lian-Fu, Sun Han-Cong, Wang Hua-Bing, Li Jin-Jin, Qu Ji-Feng. Recent progress of superconducting electronics in China. Acta Physica Sinica, 2021, 70(1): 018501. doi: 10.7498/aps.70.20202121
[7]	Han Jin-Ge, Ouyang Peng-Hui, Li En-Ping, Wang Yi-Wen, Wei Lian-Fu. Experimentally estimating of physical parameters of the fabricated superconducting Josephson junctions. Acta Physica Sinica, 2021, 70(17): 170304. doi: 10.7498/aps.70.20210393
[8]	Chen Heng-Jie, Xue Hang, Li Shao-Xiong, Wang Zhen. A method of determining microwave dissipation of Josephson junctions with non-linear frequency response. Acta Physica Sinica, 2019, 68(11): 118501. doi: 10.7498/aps.68.20190167
[9]	Wang Lan-Ruo, Zhong Yuan, Li Jin-Jin, Qu Ji-Feng, Zhong Qing, Cao Wen-Hui, Wang Xue-Shen, Zhou Zhi-Qiang, Fu Kai, Shi Yong. Development of quantum voltage noise source chip for precision measurement of Boltzmann constant. Acta Physica Sinica, 2018, 67(10): 108501. doi: 10.7498/aps.67.20172643
[10]	Wang Song, Wang Xing-Yun, Zhou Zhang-Yu, Yang Fa-Shun, Yang Jian, Fu Xing-Hua. Preparation, microstructure of B film and its applications in MgB2 superconducting Josephson junction. Acta Physica Sinica, 2016, 65(1): 017401. doi: 10.7498/aps.65.017401
[11]	Chen Zhao, He Gen-Fang, Zhang Qing-Ya, Liu Jian-She, Li Tie-Fu, Chen Wei. Fabrication and characterization of the superconducting quantum interference device amplifier with Washer type input coil. Acta Physica Sinica, 2015, 64(12): 128501. doi: 10.7498/aps.64.128501
[12]	Cao Wen-Hui, Li Jin-Jin, Zhong Qing, Guo Xiao-Wei, He Qing, Chi Zong-Tao. Fabrication and characterization of single Nb/NbxSi1-x/Nb Josephson junction for voltage standard. Acta Physica Sinica, 2012, 61(17): 170304. doi: 10.7498/aps.61.170304
[13]	Zhang Li-Sen, Cai Li, Feng Chao-Wen. Hopf bifurcation and chaotification of Josephson junction with linear delayed feedback. Acta Physica Sinica, 2011, 60(6): 060306. doi: 10.7498/aps.60.060306
[14]	Zhang Li-Sen, Cai Li, Feng Chao-Wen. Analytical analysis of periodic solution and its stability in Josephson junction. Acta Physica Sinica, 2011, 60(3): 030308. doi: 10.7498/aps.60.030308
[15]	Yue Hong-Wei, Yan Shao-Lin, Zhou Tie-Ge, Xie Qing-Lian, You Feng, Wang Zheng, He Ming, Zhao Xin-Jie, Fang Lan, Yang Yang, Wang Fu-Yin, Tao Wei-Wei. Millimeter wave irradiation characteristics of high temperature superconductor bicrystal Josephson junction embedded in a Fabry-Perot resonator. Acta Physica Sinica, 2010, 59(2): 1282-1287. doi: 10.7498/aps.59.1282
[16]	Yue Hong-Wei, Wang Zheng, Fan Bin, Song Feng-Bin, You Feng, Zhao Xin-Jie, He Ming, Fang Lan, Yan Shao-Lin. Millimeter wavelength coherent emission from high temperature superconducting bicrystal Josephson junction array. Acta Physica Sinica, 2010, 59(8): 5755-5758. doi: 10.7498/aps.59.5755
[17]	Cui Da-Jian, Lin De-Hua, Yu Hai-Feng, Peng Zhi-Hui, Zhu Xiao-Bo, Zheng Dong-Ning, Jing Xiu-Nian, Lü Li, Zhao Shi-Ping. Quantum corrections in fitting the switching current distributions of intrinsic Josephson junction. Acta Physica Sinica, 2008, 57(9): 5933-5936. doi: 10.7498/aps.57.5933
[18]	Li Zhao-Xin, Zou Jian, Cai Jin-Fang, Shao Bin. Entanglement between charge qubit and quantized field. Acta Physica Sinica, 2006, 55(4): 1580-1584. doi: 10.7498/aps.55.1580
[19]	Xiao Yu-Fei, Wang Deng-Long, Wang Feng-Jiao, Yan Xiao-Hong. Dynamical properties of an asymmetric Josephson junction in Bose-Einstein condensates. Acta Physica Sinica, 2006, 55(2): 547-550. doi: 10.7498/aps.55.547
[20]	WANG ZHEN-YU, LIAO HONG-YIN, ZHOU SHI-PING. STUDIES OF THE DC BIASED JOSEPHSON JUNCTION COUPLED TO A RESONANT TANK. Acta Physica Sinica, 2001, 50(10): 1996-2000. doi: 10.7498/aps.50.1996

187401-20250723suppl.pdf

Catalog

Vol. 74, Issue 18 - 2025-09-20

Metrics

Abstract views: 1892
PDF Downloads: 70
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Abstract

Authors and contacts

Corresponding author: CHEN Wei, weichen@mail.tsinghua.edu.cn

FullText HTML

Supplements

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Abstract

Authors and contacts

Corresponding author: CHEN Wei, weichen@mail.tsinghua.edu.cn

FullText HTML

Supplements

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About