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As the core nonlinear element underpinning superconducting electronics, the Josephson junction 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 conventional sinusoidal CPR; however, junctions characterized by non-sinusoidal CPR have recently attracted considerable attention due to their distinctive physical properties and promising quantum device applications. In this study, we developed a numerical model tailored specifically for junctions exhibiting non-sinusoidal CPR by integrating experimentally measured current-voltage (I-V) characteristics from Nb/Al-AlOx/Nb junctions into a resistively and capacitively shunted junction (RCSJ) framework. Leveraging this refined model, we systematically explored the influence of CPR skewness on Josephson junction dynamics. Our results reveal that, in underdamped junctions, the critical current significantly diminishes with increasing CPR skewness, a behavior reminiscent of the tunable critical currents typically observed in DC superconducting quantum interference devices (SQUID). 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 reveal 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, we employed Advanced Design System (ADS) simulations 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 the development of next-generation superconducting electronic components. Josephson junctions with engineered CPR offer expanded functionality for superconducting quantum technologies. This study shows that tailoring CPR enables enhanced control over the dynamical behavior of junctions, facilitating optimized designs of superconducting qubits, parametric amplifiers, and nonmagnetic nonreciprocal devices.
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Keywords:
- Josephson junction /
- Half-integer Shapiro steps /
- RCSJ model /
- DC-SQUID /
- Superconducting electronics
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[1] Arute F, Arya K, Babbush R, Bacon D, Bardin J C, Barends R, Biswas R, Boixo S, Brandao F G S L, Buell D A, Burkett B, Chen Y, Chen Z, Chiaro B, Collins R, Courtney W, Dunsworth A, Farhi E, Foxen B, Fowler A, Gidney C, Giustina M, Graff R, Guerreiro T, Habegger S, Harrigan M P, Hartmann M J, Ho A, Hoffmann M, Huang T, Humble T S, Isakov S V, Jeffrey E, Jensen K, Jiang Z, Kelly J, Klimov P V, Knysh S, Korotkov A N, Kostritsa F, Landhuis D, Lindmark M, Lucero E, MacKay D, Martin O, McClean J R, McEwen M, Megrant A, Mi X, Morvan A, Neeley M, Neill C, Neven H, Niu M Y, O’Brien T, Ostby E, Petukhov A, Putterman H, Quintana C, Redd C, Rieffel E G, Sank D, Satzinger K J, Smelyanskiy V, Sung K J, Trevithick M D, Vainsencher A, Villalonga B, White T, Yao Z J, Yeh P, Zalcman A, Zhang Y, Zhong Y, Martinis J M 2019 Nature 574505
[2] Wu Y, Bao W S, Cao S, Chen F, Chen M C, Chen X, Chung T H, Deng H, Du Y, Fan D, Gong M, Guo C, Guo Q, Han L, Hong L, Huang T, Huo Y H, Li C, Li L, Li N, Li S, Li Y, Liang H, Lin J, Lin Z, Qian H, Rong H, Su H, Sun Y, Wang H, Wang S, Wu D, Xu Y, Yan Z, Yang F, Ye Y, Ying C, Yu J, Zha C, Zhai H, Zhang H, Zhang K, Zhang L, Zhang Y, Zhao P, Zhao Y, Zheng D, Zhou H, Zhu Q, Pan J W 2021 Phys. Rev. Lett. 127180501
[3] Renger M, Pogorzalek S, Chen Q, Nojiri Y, Inomata K, Nakamura Y, Partanen M, Marx A, Gross R, Deppe F, Fedorov K G, Wulf M, Goetz J, Wulschner F, Eder P, Fischer M, Haeberlein M, Schneider A, Wegscheider W, Menzel E P, Rotzinger H, Fowler A G, Wilhelm F K, Michler P 2021 npj Quantum Information 7160
[4] Yang L, He K, Dai G, Cheng M, Liu J, Chen W 2025 J. Supercond. Nov. Magn. 38101
[5] He K, Dai G, Yu Q, He Y, Zhao C, Liu J, Chen W 2023 Supercond. Sci. Technol. 36045010
[6] Xue H, Lin Z, Jiang W, Niu Z, Liu K, Peng W, Wang Z 2021 Chin. Phys. B 30068503
[7] Choi G, Kim B, Choi J, Park K, Chong Y, Lee Y H 2023 IEEE Trans. Appl. Supercond. 331
[8] Qiu J Y, Grimsmo A, Peng K, Kannan B, Lienhard B, Sung Y, Krantz P, Bolkhovsky V, Calusine G, Kim D, Oliver W D 2023 Nat. Phys. 19706
[9] Macklin C, O’Brien K, Hover D, Schwartz M E, Bolkhovsky V, Zhang X, Oliver W D, Siddiqi I 2015 Science 350307
[10] Krylov G, Friedman E G 2021 IEEE Trans. Appl. Supercond. 311
[11] Clarke J, Braginski A I 2006 The SQUID Handbook: Applications of SQUIDs and SQUID Systems (John Wiley & Sons)
[12] Yao Y, Cai R, Yang S H, Xing W, Ma Y, Mori M, Ji Y, Maekawa S, Xie X C, Han W 2021 Phys. Rev. B 104104414
[13] Stoutimore M J A, Rossolenko A N, Bolginov V V, Oboznov V A, Rusanov A Y, Baranov D S, Pugach N, Frolov S M, Ryazanov V V, Van Harlingen D J 2018 Phys. Rev. Lett. 121177702
[14] Raes B, Tubsrinuan N, Sreedhar R, Guala D S, Panghotra R, Dausy H, de Souza Silva C C, Van de Vondel J 2020 Phys. Rev. B 102054507
[15] Basset J, Kuzmanović M, Virtanen P, Heikkilä T T, Estève J, Gabelli J, Strunk C, Aprili M 2019 Phys. Rev. Res. 1032009
[16] Kalantre S S, Yu F, Wei M T, Watanabe K, Taniguchi T, Hernandez-Rivera M, Amet F, Williams J R 2020 Phys. Rev. Res. 2023093
[17] Ueda K, Matsuo S, Kamata H, Sato Y, Takeshige Y, Li K, Samuelson L, Xu H, Tarucha S 2020 Phys. Rev. Res. 2033435
[18] Hart S, Cui Z, Ménard G, Deng M, Antipov A E, Lutchyn R M, Krogstrup P, Marcus C M, Moler K A 2019 Phys. Rev. B 100064523
[19] Spanton E M, Deng M, Vaitiekėnas S, Krogstrup P, Nygård J, Marcus C M, Moler K A 2017 Nat. Phys. 131177
[20] Nanda G, Aguilera-Servin J L, Rakyta P, Kormányos A, Kleiner R, Koelle D, Watanabe K, Taniguchi T, Vandersypen L M K, Goswami S 2017 Nano Lett. 173396
[21] English C D, Hamilton D R, Chialvo C, Moraru I C, Mason N, Van Harlingen D J 2016 Phys. Rev. B 94115435
[22] Borzenets I V, Amet F, Ke C T, Draelos A W, Wei M T, Seredinski A, Watanabe K, Taniguchi T, Bomze Y, Yamamoto M, Finkelstein G 2016 Phys. Rev. Lett. 117237002
[23] Lee G H, Kim S, Jhi S H, Lee H J 2015 Nat. Commun. 66181
[24] Yu W, Pan W, Medlin D L, Rodriguez M A, Lee S R, Bao Z Q, Zhang F 2018 Phys. Rev. Lett. 120177704
[25] Snyder R A, Trimble C J, Rong C C, Folkes P A, Taylor P J, Williams J R 2018 Phys. Rev. Lett. 121097701
[26] Li C, de Boer J C, de Ronde B, Ramankutty S V, van Heumen E, Huang Y, de Visser A, Golubov A A, Golden M S, Brinkman A 2018 Nat. Mater. 17875
[27] Wiedenmann J, Bocquillon E, Deacon R S, Hartinger S, Herrmann O, Klapwijk T M, Maier L, Ames C, Brüne C, Gould C, Molenkamp L W 2016 Nat. Commun. 710303
[28] Hou Y L, Wang X, Sun X P, Lü L 2023 Acta Phys. Sin. 727. (in Chinese) [侯延亮，王翔，孙晓培， 吕力2023 727]
[29] Wiedenmann J 2018 Induced Topological Superconductivity in HgTe Based Nanostructures. Ph.D. Dissertation, Julius-Maximilians-Universität Würzburg. Chapter 12, p.73
[30] Bordin A, Liu C X, Dvir T, Zatelli F, Ten Haaf S L D, van Driel D, Wang G, Van Loo N, Zhang Y, Wolff J C, Kouwenhoven L P 2025 Nat. Nanotechnol. 1In press
[31] Tanaka Y, Tamura S, Cayao J 2024 Prog. Theor. Exp. Phys. 202408C105
[32] Zhu P, Feng S, Wang K, Xiang T, Trivedi N 2025 Nat. Commun. 162420
[33] Yang L, He K, Dai G, Cheng M, Geng X, Jiang L, Chang J, Liu J, Chen W 2025 Phys. Lett. A 540130401
[34] Kamal A, Clarke J, Devoret M H 2011 Nat. Phys. 7311
[35] Kumar N P, Le D T, Pakkiam P, Stace T M, Fedorov A 2025 Phys. Rev. Res. 7013075
[36] Khaira N K 2022 Reconfigurable Cryogenic Microwave Devices Using Low Temperature Superconducting RF-SQUIDs. Ph.d. dissertation, University of Waterloo
[37] Ingla-Aynés J, Hou Y, Wang S, Chu E D, Mukhanov O A, Wei P, Moodera J S 2025 Nat. Electron. 1In press
[38] Nadeem M, Fuhrer M S, Wang X 2023 Nat. Rev. Phys. 5558
[39] Hou Y, Nichele F, Chi H, Lodesani A, Wu Y, Ritter M F, Haxell D Z, Davydova M, Ilić S, GlezakouElbert O 2023 Phys. Rev. Lett. 131027001
[40] Castellani M, Medeiros O, Buzzi A, Foster R A, Colangelo M, Berggren K K 2024 Nat. Electron. 8417
[41] Kayyalha M, Kazakov A, Miotkowski I, Khlebnikov S, Rokhinson L P, Chen Y P 2020 npj Quantum Mater. 57
[42] Huang Z, Elfeky B H, Taniguchi T, Watanabe K, Shabani J, Shahrjerdi D 2023 Appl. Phys. Lett. 122262601
[43] Panghotra R, Raes B, de Souza Silva C C, Cools I, Van de Vondel J 2020 Commun. Phys. 3169
[44] Frattini N E, Vool U, Shankar S, Narla A, Sliwa K M, Devoret M H 2017 Appl. Phys. Lett. 110222603
[45] Ranadive A, Esposito M, Planat L, Bonet E, Naud C, Buisson O, Guichard W, Roch N 2022 Nat. Commun. 131737
[46] Bergeal N, Schackert F, Metcalfe M, Vijay R, Manucharyan V E, Frunzio L, Prober D E, Schoelkopf R J, Girvin S M, Devoret M H 2010 Nature 46564
[47] Bergeal N, Vijay R, Manucharyan V E, Siddiqi I, Schoelkopf R J, Girvin S M, Devoret M H 2010 Nat. Phys. 6296
[48] Josephson B D 1962 Phys. Lett. 1251
[49] Prance J R, Thompson M D 2023 Appl. Phys. Lett. 122222602
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