CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Gap Structure of 12442-Type KCa$_2$(Fe$_{1-x}$Co$_{x}$)$_4$As$_{4}$F$_2$ ($x$ = 0, 0.1) Revealed by Temperature Dependence of Lower Critical Field |
Jianan Chu1,2,3, Teng Wang1,2,4, Han Zhang1,2,3, Yixin Liu1,2,3, Jiaxin Feng1,2,3, Zhuojun Li1,2, Da Jiang1,2,3, Gang Mu1,2,3*, Zengfeng Di1,3, and Xiaoming Xie1,2,3 |
1State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China 2CAS Center for Excellence in Superconducting Electronics (CENSE), Shanghai 200050, China 3University of Chinese Academy of Sciences, Beijing 100049, China 4School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
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Cite this article: |
Jianan Chu, Teng Wang, Han Zhang et al 2020 Chin. Phys. Lett. 37 127401 |
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Abstract We report an in-depth investigation on the out-of-plane lower critical field $H_{\rm c1}$ of the KCa$_2$(Fe$_{1-x}$Co$_{x}$)$_4$As$_{4}$F$_2$ (12442-type, $x$ = 0, 0.1). The multi-gap feature is revealed by the kink in the temperature-dependent $H_{\rm c1}(T)$ curve for the two samples with different doping levels. Based on a simplified two-gap model, the magnitudes of the two gaps are determined to be $\varDelta_1$ = 1.2 meV and $\varDelta_2$ = 5.0 meV for the sample with $x$ = 0, $\varDelta_1$ = 0.86 meV and $\varDelta_2$ = 2.8 meV for that with $x$ = 0.1. With the cobalt doping, the ratio of energy gap to critical transition temperature ($\varDelta/k_{\rm B}T_{\rm c}$) remains almost unchanged for the smaller gap and is suppressed by 20% for the larger gap. For the undoped KCa$_2$Fe$_4$As$_{4}$F$_2$, the obtained gap sizes are generally consistent with the results of angle-resolved photoemission spectroscopy experiments.
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Received: 09 September 2020
Published: 08 December 2020
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PACS: |
74.20.Rp
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(Pairing symmetries (other than s-wave))
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74.25.Ha
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(Magnetic properties including vortex structures and related phenomena)
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74.70.Dd
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(Ternary, quaternary, and multinary compounds)
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74.25.Op
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(Mixed states, critical fields, and surface sheaths)
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Fund: Supported by the Youth Innovation Promotion Association of the Chinese Academy of Sciences (Grant No. 2015187), the “Strategic Priority Research Program (B)” of the Chinese Academy of Sciences (Grant No. XDB30000000), and the National Natural Science Foundation of China (Grant Nos. 11704395 and 11204338). |
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[1] | Bednorz J G and Müller K A 1986 Z. Phys. B 64 189 |
[2] | Kamihara Y, Watanabe T, Hirano M and Hosono H 2008 J. Am. Chem. Soc. 130 3296 |
[3] | Hirschfeld P J, Korshunov M M and Mazin I I 2011 Rep. Prog. Phys. 74 124508 |
[4] | Mazin I I, Singh D J, Johannes M D and Du M H 2008 Phys. Rev. Lett. 101 057003 |
[5] | Raghu S, Qi X L, Liu C X, Scalapino D J and Zhang S C 2008 Phys. Rev. B 77 220503 |
[6] | Ma F, Lu Z Y and Xiang T 2008 Phys. Rev. B 78 224517 |
[7] | Yildirim T 2008 Phys. Rev. Lett. 101 057010 |
[8] | Si Q and Abrahams E 2008 Phys. Rev. Lett. 101 076401 |
[9] | Wang Z C, He C Y, Wu S Q, Tang Z T, Liu Y, Ablimit A, Feng C M and Cao G H 2016 J. Am. Chem. Soc. 138 7856 |
[10] | Wang Z, He C, Tang Z, Wu S and Cao G 2017 Sci. Chin. Mater. 60 83 |
[11] | Wang Z C, He C Y, Wu S Q, Tang Z T, Liu Y, Ablimit A, Tao Q, Feng C M, Xu Z A and Cao G H 2017 J. Phys.: Condens. Matter 29 11LT01 |
[12] | Wang Z C, He C Y, Wu S Q, Tang Z T, Liu Y and Cao G H 2017 Chem. Mater. 29 1805 |
[13] | Wu S Q, Wang Z C, He C Y, Tang Z T, Liu Y and Cao G H 2017 Phys. Rev. Mater. 1 044804 |
[14] | Wang T, Zhang C, Xu L C, Wang J H, Jiang S, Zhu Z W, Wang Z S, Chu J N, Feng J X, Wang L L, Li W, Hu T, Liu X S and Mu G 2020 Sci. Chin. Phys. Mech. & Astron. 63 227412 |
[15] | Pyon S, Kobayashi Y, Takahashi A, Li W, Wang T, Mu G, Ichinose A, Kambara T, Yoshida A and Tamegai T 2020 Phys. Rev. Mater. 4 104801 |
[16] | Zhang C, Hu T, Wang T, Wu Y, Yu A, Chu J, Zhang H, Xiao H, Peng W, Di Z, Qiao S and Mu G 2020 arXiv:2006.03338 [cond-mat.supr-con] |
[17] | Yu A B, Wang T, Wu Y F, Huang Z, Xiao H, Mu G and Hu T 2019 Phys. Rev. B 100 144505 |
[18] | Terashima T, Matsushita Y, Yamase H, Kikugawa N, Abe H, Imai M, Uji S, Ishida S, Eisaki H, Iyo A, Kihou K, Lee C H, Wang T and Mu G 2020 Phys. Rev. B 102 054511 |
[19] | Hong W, Song L, Liu B, Li Z, Zeng Z, Li Y, Wu D, Sui Q, Xie T, Danilkin S, Ghosh H, Ghosh A, Hu J, Zhao L, Zhou X, Qiu X, Li S and Luo H 2020 Phys. Rev. Lett. 125 117002 |
[20] | Kirschner F K K, Adroja D T, Wang Z C, Lang F, Smidman M, Baker P J, Cao G H and Blundell S J 2018 Phys. Rev. B 97 060506(R) |
[21] | Smidman M, Kirschner F K K, Adroja D T, Hillier A D, Lang F, Wang Z C, Cao G H and Blundell S J 2018 Phys. Rev. B 97 060509 |
[22] | Adroja D T, Kirschner F K K, Lang F, Smidman M, Hillier A D, Wang Z C, Cao G H, Stenning G B G and Blundell S J 2018 J. Phys. Soc. Jpn. 87 124705 |
[23] | Huang Y Y, Wang Z C, Yu Y J, Ni J M, Li Q, Cheng E J, Cao G H and Li S Y 2019 Phys. Rev. B 99 020502(R) |
[24] | Wang Z C, Liu Y, Wu S Q, Shao Y T, Ren Z and Cao G H 2019 Phys. Rev. B 99 144501 |
[25] | Xu B, Wang Z C, Sheveleva E, Lyzwa F, Marsik P, Cao G H and Bernhard C 2019 Phys. Rev. B 99 125119 |
[26] | Wang T, Chu J N, Feng J X, Wang L L, Xu X G, Li W, Wen H H, Liu X S and Mu G 2020 Sci. Chin. Phys. Mech. & Astron. 63 297412 |
[27] | Wu D, Hong W, Dong C, Wu X, Sui Q, Huang J, Gao Q, Li C, Song C, Luo H, Yin C, Xu Y, Luo X, Cai Y, Jia J, Wang Q, Huang Y, Liu G, Zhang S, Zhang F, Yang F, Wang Z, Peng Q, Xu Z, Qiu X, Li S, Luo H, Hu J, Zhao L and Zhou X J 2020 Phys. Rev. B 101 224508 |
[28] | Wang T, Chu J N, Jin H, Feng J X, Wang L L, Song Y K, Zhang C, Li W, Li Z J, Hu T, Jiang D, Peng W, Liu X S and Mu G 2019 J. Phys. Chem. C 123 13925 |
[29] | Ma Y H, Zhang H, Gao B, Hu K K, Ji Q C, Mu G, Huang F Q and Xie X M 2015 Supercond. Sci. Technol. 28 085008 |
[30] | Ma Y H, Hu K K, Ji Q C, Gao B, Zhang H, Mu G, Huang F Q and Xie X M 2016 J. Cryst. Growth 451 161 |
[31] | Ren C, Wang Z S, Luo H Q, Yang H, Shan L and Wen H H 2008 Phys. Rev. Lett. 101 257006 |
[32] | Wang T, Ma Y H, Li W, Chu J N, Wang L L, Feng J X, Xiao H, Li Z J, Hu T, Liu X S and Mu G 2019 npj Quantum Mater. 4 33 |
[33] | Wang G, Wang Z and Shi X 2016 Europhys. Lett. 116 37003 |
[34] | Carrington A and Manzano F 2003 Physica C 385 205 |
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