{"title":"Improved prediction of critical currents for multi-pancake coil across variable temperature regions","authors":"Hao Dong , Daxing Huang , Hao Yu , Hongwei Gu , Fazhu Ding","doi":"10.1016/j.physc.2024.1354568","DOIUrl":"10.1016/j.physc.2024.1354568","url":null,"abstract":"<div><p>With the increasing performance of the second-generation high-temperature superconducting (2G-HTS) tapes, the technology of all-REBa<sub>2</sub>Cu<sub>3</sub>O<sub>7-δ</sub> (REBCO, RE: rare earth) superconducting magnets has developed rapidly. However, the 2G-HTS magnet with hybrid cryocoolers constantly adjusts its operating temperature according to the actual demands, which involves the critical current when the magnet crosses variable temperature regions. In this paper, a modified ideal model based on the homogenization model is proposed, which can predict the critical current of 2G-HTS magnets more consistently. The in-field properties of REBCO tapes in variable temperature regions were tested by the physical property measurement system. Furthermore, the improved model was combined with the in-field properties of REBCO tapes to obtain the critical currents of a 2G-HTS multi-pancake (MP) coil at 20 K, 30 K, 65 K, and 77 K. The critical current of a multi-pancake coil at 77 K was experimentally verified. The modified ideal model uses the actual current density, which results are closer to the experimental results with an agreement of 97.3%. This new method proposed in this work is significant in quickly predicting critical currents for 2G-HTS magnets across variable temperature regions.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354568"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142041266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical analysis of stacked HTS tapes in rotating magnetic fields using H and T-A formulations","authors":"Yongchao Zhang , Jianxun Jin , Junliang Chen , Zhenyang Huang , Youguang Guo , Jianguo Zhu","doi":"10.1016/j.physc.2024.1354553","DOIUrl":"10.1016/j.physc.2024.1354553","url":null,"abstract":"<div><p>Superconducting windings in rotating electrical machines and multi-phase transformers are subject to rotating magnetic fields. Most existing studies on the electromagnetic characteristics of stacked high-temperature superconducting (HTS) tapes focus on the influence of vertical magnetic field (VMF) and the transport current. The numerical study on characteristics of HTS stacked tapes in rotating magnetic fields (RMFs) has received less research attention. This paper presents two-dimensional models of stacked HTS tapes in RMF based on <strong><em>H</em></strong> and <strong><em>T-A</em></strong> formulations. AC losses obtained by the two formulations agree well in a single tape configuration but significantly differ in a stack configuration. The discrepancy increases as the number of stack layers and the stack interval increase. Under the same magnetic field amplitude, the RMF penetration depth in stacked tapes is higher than those of VMF and parallel magnetic field (PMF), and the parallel component of RMF causes higher AC loss in the end tapes of a stack. While the applied current increases the overall AC loss, it can significantly decrease the AC loss of the end tape. It is found that reducing the stack interval and replacing end tapes with tapes of higher critical current can significantly reduce the overall AC loss of stacked tapes in an RMF. These results are crucial for modeling superconducting machines and offer valuable insights into characterizing superconducting tapes in RMFs using numerical methods.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354553"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142041259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiaoyong Xu , Huaming Zhou , Zhijun Hu , Zhong Gu , Xin Hu , Zhen Huang
{"title":"AC loss analysis on an HTS field winding of the generator with T-A formulation","authors":"Xiaoyong Xu , Huaming Zhou , Zhijun Hu , Zhong Gu , Xin Hu , Zhen Huang","doi":"10.1016/j.physc.2024.1354552","DOIUrl":"10.1016/j.physc.2024.1354552","url":null,"abstract":"<div><p>In this study, we proposed a coupling model utilizing finite element software to estimate AC loss on the high-temperature superconducting (HTS) field winding of a 1 MW generator. The model comprises three distinct physical modules: rotating machinery and magnetic (RMM), electrical circuit (CE) and partial differential equation (PDE). These modules collaborate to resolve the generator's magnetic field distribution, rated output parameters and degree of current magnetization on the HTS field winding, employing Maxwell equations and <em>T</em>-<em>A</em> formulation. Given the placement of the HTS field winding on the rotor core, accurately calculating its loss in an electromagnetic field that varies both temporally and spatially presents a considerable challenge. To address this issue, we adjust the coordinate system within the PDE module to vary with the material rather than space. Our analysis reveals that the instantaneous AC loss of an HTS field winding comprises two primary components: the attenuation envelope and the oscillatory variation, resulting from the charging process and external harmonic magnetic fields. Additionally, we comprehensively discuss and analyze the influence of current excitation speed on instantaneous AC loss. Accurately estimating AC loss in HTS field windings is a critical and meaningful aspect of preliminary machine design. This study provides an essential reference for addressing this issue.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354552"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142041261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
T. Vaimala , M.M. Aye , E. Rivasto , Y. Zhao , H. Huhtinen , P. Paturi
{"title":"Maximizing flux pinning in YBCO coated conductor films for high-field applications","authors":"T. Vaimala , M.M. Aye , E. Rivasto , Y. Zhao , H. Huhtinen , P. Paturi","doi":"10.1016/j.physc.2024.1354565","DOIUrl":"10.1016/j.physc.2024.1354565","url":null,"abstract":"<div><p>Our study explores the relationship between BZO nanorod density and magnetic flux pinning in YBCO thin films on coated conductor templates. We identified an optimal BZO doping level of 8%–10%, which maximizes flux pinning and enables the highest critical current densities to be achieved across various temperatures and magnetic field ranges, especially in new types of multilayer structures. Additionally, the formation of a <span><math><mi>c</mi></math></span>-axis peak in the angular-dependent critical current curves at high BZO concentrations underscores the significance of collective pinning mechanisms. These results are discussed using a simple pinning model that considers the effects of nanorod spacing and fragmentation. Overall, our findings contribute to the development of high-performance coated conductor layer structures for future power applications, where maximizing flux pinning is essential.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354565"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0921453424001291/pdfft?md5=c332572d6152d5e425113c5db0344404&pid=1-s2.0-S0921453424001291-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142041264","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Penghui Zhang, Haitao Li, Zhengyan Li, Le Liang, Zigang Deng
{"title":"Design and test of a contactless damper for HTS maglev systems via electromagnetic shunt dampers","authors":"Penghui Zhang, Haitao Li, Zhengyan Li, Le Liang, Zigang Deng","doi":"10.1016/j.physc.2024.1354554","DOIUrl":"10.1016/j.physc.2024.1354554","url":null,"abstract":"<div><p>High-temperature superconducting (HTS) maglev system is promising to become the future high-speed transport due to its numerous advantages. However, the low-damping dynamic characteristics of superconductors make the system vulnerable to external disturbances, which present a significant challenge to its implementation. To enhance the vibration attenuation effect of the HTS maglev system, a non-contact damper that employs electromagnetic shunt damping (EMSD) and negative resistance is incorporated into the HTS maglev system. This study elucidates the principles of EMSD and negative resistance, and establishes the governing equations to describe the behavior of the HTS maglev model equipped with EMSD. Subsequently, the EMSD coupling coefficients are analysed via the finite element method (FEM) under varying conditions. Finally, a dedicated vibration test rig is designed and fabricated to validate the effectiveness of the proposed damper. The results demonstrate that the proposed damper, in combination with negative resistance, is capable of effectively suppressing vibration in HTS maglev systems. The maximum acceleration of the test model can be reduced by 86% compared with the original system without the damper. This work may provide valuable guidance for future practical implementations.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354554"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142041262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-gap superconducting states of LaRu3Si2","authors":"T. Ushioda, T. Muranaka","doi":"10.1016/j.physc.2024.1354583","DOIUrl":"10.1016/j.physc.2024.1354583","url":null,"abstract":"<div><p>We synthesize high-quality LaRu<span><math><msub><mrow></mrow><mrow><mn>3</mn></mrow></msub></math></span>Si<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> (<span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>= 7.5 K) polycrystalline sample and report the superconducting gap anisotropy relative to the temperature dependence of <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><mn>0</mn></mrow></msub><msub><mrow><mi>H</mi></mrow><mrow><mi>c</mi><mn>2</mn></mrow></msub></mrow></math></span> and <span><math><msub><mrow><mi>C</mi></mrow><mrow><mi>e</mi><mi>l</mi></mrow></msub></math></span>/<span><math><mrow><mi>γ</mi><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> below <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. The <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><mn>0</mn></mrow></msub><msub><mrow><mi>H</mi></mrow><mrow><mi>c</mi><mn>2</mn></mrow></msub></mrow></math></span> satisfies <span><math><mi>T</mi></math></span>-linear dependence until it approaches a low temperature region (<span><math><mrow><mi>T</mi><mo>≤</mo><mn>0</mn><mo>.</mo><mn>25</mn><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>), and this behavior may not agree with the WHH theory. Based on <span><math><mi>T</mi></math></span>-linear fitting, the <span><math><mrow><msub><mrow><mi>μ</mi></mrow><mrow><mn>0</mn></mrow></msub><msub><mrow><mi>H</mi></mrow><mrow><mi>c</mi><mn>2</mn></mrow></msub></mrow></math></span>(0) is estimated to be 10.2 T. The <span><math><msub><mrow><mi>C</mi></mrow><mrow><mi>e</mi><mi>l</mi></mrow></msub></math></span>/<span><math><mrow><mi>γ</mi><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> below <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> cannot be expressed by a simple exponential fit. It is considered that although a larger gap (2<span><math><msub><mrow><mi>Δ</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>/<span><math><msub><mrow><mi>k</mi></mrow><mrow><mi>B</mi></mrow></msub></math></span> <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>=3.63) opens at 3 K <span><math><mrow><mo>≤</mo><mi>T</mi><mo>≤</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, low-lying quasiparticle excitations at <span><math><mrow><mi>T</mi><mo>≤</mo></mrow></math></span> 3 K are dominated by a smaller gap (2<span><math><msub><mrow><mi>Δ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>/<span><math><msub><mrow><mi>k</mi></mrow><mrow><mi>B</mi></mrow></msub></math></span> <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>=2.62). Our experimental results indicate the feasibility of a two-gap superconducting state of LaRu<span><math><msub><mrow></mrow><mrow><mn>3</mn></mrow></msub></math></span>Si<span><","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"625 ","pages":"Article 1354583"},"PeriodicalIF":1.3,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142083432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tran Ky Vi , Do Hoang Minh , Vo Nhu Thang , Huynh Huyen Tran
{"title":"Fluctuation effects in superconducting nanowires under electric field","authors":"Tran Ky Vi , Do Hoang Minh , Vo Nhu Thang , Huynh Huyen Tran","doi":"10.1016/j.physc.2024.1354577","DOIUrl":"10.1016/j.physc.2024.1354577","url":null,"abstract":"<div><p>This study applies the time-dependent Ginzburg–Landau (TDGL) theory with thermal noise to analyze the thermoelectric and transport properties of superconducting Sn nanowires, focusing on the thermopower (<span><math><msub><mrow><mi>α</mi></mrow><mrow><mi>x</mi><mi>x</mi></mrow></msub></math></span>) and the phase transition characteristics in the S-shaped <span><math><mi>J</mi></math></span>-<span><math><mi>E</mi></math></span> curves. We observe significant contributions from superconducting Cooper pairs, which remain nonzero above the critical temperature (<span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>), indicating residual superconductivity due to strong thermal fluctuations. The S-like shape in the <span><math><mi>J</mi></math></span>-<span><math><mi>E</mi></math></span> curves is attributed to a dynamical instability transition temperature (<span><math><msup><mrow><mi>T</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span>) at approximately 2.9 K, where thermal fluctuations dominate. Furthermore, we compare the resistance in the linear response to experimental data for Sn nanowires both below and above <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. Below <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, the resistance sharply decreases, reflecting the robust superconducting state, while above <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, it increases, aligning with normal state behavior. In nonlinear response case, our results indicate that high electric fields can be effectively used to suppress order-parameter fluctuations and the electrical conductivity in superconducting nanowires. The findings provide critical insights into the thermoelectric behavior and phase transitions in Sn nanowires, highlighting the importance of Cooper pair dynamics in shaping the transport properties of one-dimensional superconductors. This understanding is essential for the development of advanced nanoelectronic devices leveraging these unique superconducting properties.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"625 ","pages":"Article 1354577"},"PeriodicalIF":1.3,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142006292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The effect of the non-uniform critical current density on the magnetoelastic behavior of bulk superconductors: Case of a long cylindrical superconductor","authors":"Yumei Yang , Peng Cheng , Rui Mao , Haijun Lou","doi":"10.1016/j.physc.2024.1354580","DOIUrl":"10.1016/j.physc.2024.1354580","url":null,"abstract":"<div><p>In this paper, the effect of non-uniform critical current density on bulk superconductors is studied, the case of a long cylindrical superconductor with transport current is chose to discussed. The critical current density is distributed non-uniformly along the radius of the cylinder. Based on the Bean critical state model, the distributions of trapped magnetic flux and shielding current in the cylinder are investigated. Combined with the plane strain approach, the analytical expressions of magnetic flux pinning force and stress are obtained. The magnetostriction of the cylinder is also discussed. Results show that the non-uniform critical current density changes the distribution law of the shielding current and trapped magnetic flux in the cylinder. The increase of non-uniform parameters <em>n</em> leads to an obvious increase in the flux pinning force. Thus, a larger extreme value of the pinning stress is obtained, a bigger structure deformation is produced inside the superconducting cylinder. All those conclusions will provide a helpful guide for engineering application.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354580"},"PeriodicalIF":1.3,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mengfei Zhao, Yongliang Wang, Pusheng Yuan, Lixing You, Lingyun Li
{"title":"Performance evaluation of superconductor integrated circuit simulators","authors":"Mengfei Zhao, Yongliang Wang, Pusheng Yuan, Lixing You, Lingyun Li","doi":"10.1016/j.physc.2024.1354573","DOIUrl":"10.1016/j.physc.2024.1354573","url":null,"abstract":"<div><p>The development of superconductor integrated circuits (SCIC) places increasing demands on electronic design automation (EDA) tools. Circuit simulation is a crucial step in the design process of superconducting quantum interference devices (SQUID) and single flux quantum (SFQ) circuits. Over the years, there have been many SC circuit simulators, like JSPICE, JSIM, WRspice, JoSIM, PSCAN2, JSICsim, PrimeSim HSPICE, Spectre, and more. The previous studies have compared the differences in results among some simulators for the same circuit cases. However, designers of SC circuits still face challenges when choosing simulators and setting simulation parameters. The performance of these simulators lacks comprehensive and quantitative evaluations to date. To evaluate the performance of the simulators, we focused on three aspects: the differences among the IV results, accuracy, and speed. For characterizing the accuracy of the simulators, we proposed a method that uses the relative error between the numerical and analytical solutions at the <span><math><mi>L</mi></math></span>-<span><math><mi>C</mi></math></span> resonance point on the IV curve of a dc SQUID. In this article, we have selected five representative simulators JoSIM, JSIM, WRspice, PSCAN2, and JSICsim for our study. By using multiple cases of the bare and coupled dc SQUID, multiple IV curves, and the analytical solution as a reference, we comprehensively compared the performance of these simulators. Additionally, we quantitatively examined the impact of two key simulation parameters, namely, the maximum allowed simulation timestep (max timestep) and relative tolerance (RelTol), on the performance of these simulators. Our results show that the normalized voltage differences in the IV curves of different simulators are relatively small (within 0.06) in regions far from the <span><math><mi>L</mi></math></span>-<span><math><mi>C</mi></math></span> resonance point, while they increase significantly near the <span><math><mi>L</mi></math></span>-<span><math><mi>C</mi></math></span> resonance point (maximum is 0.4). PSCAN2 exhibits a significant relative error of approximately 16% when the max timestep is 0.6ps and RelTol is <span><math><mrow><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span>, which is close to its default RelTol value. Our work provides some insights and references for the designers of SC circuits on how to choose simulators and set simulation parameters.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354573"},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141772476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zhang-Rice singlets dominate critical temperature evolution of cuprate superconductivity","authors":"Yong-Jun Chen","doi":"10.1016/j.physc.2024.1354572","DOIUrl":"10.1016/j.physc.2024.1354572","url":null,"abstract":"<div><p>We show that formation of Zhang-Rice singlets (ZRS) naturally explains the empirical superconducting dome by random distribution of holes in copper-oxygen plane of cuprates. A general relation T<sub>c</sub>/T<sub>cmax</sub>=25(c-0.04), where c is the concentration of the ZRS and T<sub>cmax</sub> is the maximum of critical temperature T<sub>c</sub>, is obtained and reproduces the doping-dependent critical temperature evolution in the whole superconducting dome. The relation has been applied to estimate the effects of impurities substituting copper in the copper-oxygen plane. Our relation successfully predicts the suppression of superconductivity due to the substitution of Cu by the impurities. We demonstrate that T<sub>c</sub> decreases linearly with the increase of the impurity concentration and the scattering range plays a key role in the suppression of the superconductivity. These results agree well with the experimental observations of the substitutions by Zinc and Nickel. Our relation is universal for all families of cuprates and explains the formation of the superconducting dome in the phase diagram.</p></div>","PeriodicalId":20159,"journal":{"name":"Physica C-superconductivity and Its Applications","volume":"624 ","pages":"Article 1354572"},"PeriodicalIF":1.3,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141772474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}