| CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES |
Prev
Next
|
|
|
Direct observation of the scaling relation between density of states and pairing gap in a dirty superconductor |
| Chang-Jiang Zhu(朱长江)1,2,†, Limin Liu(刘立民)1,2,†, Peng-Bo Song(宋鹏博)1,2,†, Han-Bin Deng(邓翰宾)1,2, Chang-Jiang Yi(伊长江)1, Ying-Kai Sun(孙英开)1,2, R Wu(武睿)1,5, Jia-Xin Yin(殷嘉鑫)4, Youguo Shi(石友国)1,‡, Ziqiang Wang(汪自强)6,§, and Shuheng H. Pan(潘庶亨)1,2,3,5,¶ |
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China;
4 Laboratory for Topological Quantum Matter and Advanced Spectroscopy(B7), Department of Physics, Princeton University, Princeton, NJ, USA;
5 Songshan Lake Materials Laboratory, Dongguan 523808, China;
6 Department of Physics, Boston College, Chestnut Hill, MA, USA |
|
|
|
|
Abstract Theories and experiments on dirty superconductors are complex but important in terms of both theoretical fundamentals and practical applications. These activities are even more challenging when magnetic fields are present because the field distribution, electron density of states, and superconducting pairing potentials become nonuniform. Here, we present tunneling microspectroscopic experiments on NbC single crystals and demonstrate that NbC is a homogeneous dirty superconductor. When applying magnetic fields to the samples, we found that the zero-energy local density of states and the pairing energy gap followed the explicit scaling relation proposed by de Gennes for homogeneous dirty superconductors in high magnetic fields. More significantly, our experimental findings indicate that the validity of the scaling relation extends to magnetic field strengths far below the upper critical field, calling for a new nonperturbative understanding of this fundamental property in dirty superconductors. On the practical side, we used the observed scaling relation to derive a simple and straightforward experimental scheme for estimating the superconducting coherence length of a dirty superconductor in magnetic fields.
|
Received: 01 June 2021
Revised: 02 June 2021
Accepted manuscript online: 08 June 2021
|
|
PACS:
|
68.37.Ef
|
(Scanning tunneling microscopy (including chemistry induced with STM))
|
| |
74.25.Ha
|
(Magnetic properties including vortex structures and related phenomena)
|
| |
74.62.-c
|
(Transition temperature variations, phase diagrams)
|
| |
74.70.Ad
|
(Metals; alloys and binary compounds)
|
|
| Fund: Project supported by the National Key Research and Development Program of the Ministry of Science and Technology of China (Grant Nos. 2017YFA0302903, 2016YFA0300602, 2016YFA0300604, and 2016YFJC010282), the National Natural Science Foundation of China (Grant Nos. 11227903, 12004416, and U2032204), the Beijing Municipal Science and Technology Commission, China (Grant Nos. Z181100004218007 and Z191100007219011), the National Basic Research Program of China (Grant No. 2015CB921304), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB07000000, XDB28000000 and XDB33000000). Z.W. was supported by the US Department of Energy (Basic Energy Sciences Grant No. DE-FG02-99ER45747). |
Corresponding Authors:
Youguo Shi, Ziqiang Wang, Shuheng H. Pan
E-mail: ygshi@iphy.ac.cn;ziqiang.wang@bc.edu;span@iphy.ac.cn
|
Cite this article:
Chang-Jiang Zhu(朱长江), Limin Liu(刘立民), Peng-Bo Song(宋鹏博), Han-Bin Deng(邓翰宾), Chang-Jiang Yi(伊长江), Ying-Kai Sun(孙英开), R Wu(武睿), Jia-Xin Yin(殷嘉鑫), Youguo Shi(石友国), Ziqiang Wang(汪自强), and Shuheng H. Pan(潘庶亨) Direct observation of the scaling relation between density of states and pairing gap in a dirty superconductor 2021 Chin. Phys. B 30 106802
|
[1] Anderson P W 1959 J. Phys. Chem. Solids 11 26
[2] de Gennes P G 1964 Physik der kondensierten Materie 3 79
[3] Saint-James D, Sarma G and Thomas E J 1969 Type-Ⅱ Superconductivity (Pergamon: Oxford) p. 475 Eq. (6.83)
[4] Fente A, Herrera E, Guillamón I, Suderow H, Mañas-Valero S, Galbiati M, Coronado E and Kogan V G 2016 Phys. Rev. B 94 014517
[5] Pan S H, Hudson E W, Lang K M, Eisaki H, Uchida S and Davis J C 2000 Nature 403 746
[6] Hudson E W, Lang K M, Madhavan V, Pan S H, Eisaki H, Uchida S and Davis J C 2001 Nature 411 920
[7] Yin J X, Wu Z, Wang J H, Ye Z Y, Gong J, Hou X Y, Shan L, Li A, Liang X J, Wu X X, Li J, Ting C S, Wang Z Q, Hu J P, Hor P H, Ding H and Pan S H 2015 Nat. Phys. 11 543
[8] Pan S H, Hudson E W, Gupta A K, Ng K W, Eisaki H, Uchida S and Davis J C 2000 Phys. Rev. Lett. 85 1536
[9] Shan L, Wang Y L, Shen B, Zeng B, Huang Y, Li A, Wang D, Yang H, Ren C, Wang Q H, Pan S H and Wen H H 2011 Nat. Phys. 7 325
[10] Fischer K, Fruchter L, Hergt R, Linzen D, Bruchlos G and Chebotayev N M 1991 Mater. Lett. 11 85
[11] Pan S H, O'Neal J P, Badzey R L, Chamon C, Ding H, Engelbrecht J R, Wang Z, Eisaki H, Uchida S, Gupta A K, Ng K W, Hudson E W, Lang K M and Davis J C 2001 Nature 413 282
[12] Pasupathy A N, Pushp A, Gomes K K, Parker C V, Wen J, Xu Z, Gu G, Ono S, Ando Y and Yazdani A 2008 Science 320 196
[13] Cho D, Bastiaans K M, Chatzopoulos D, Gu G D and Allan M P 2019 Nature 571 541
[14] Toth L E 1971 Transition Metal Carbides and Nitrides (New York: Academic Press) p. 90
[15] Hwu H H and Chen J G 2005 Chem. Rev. 105 185
[16] Woydt M and Mohrbacher H 2014 Wear 321 1
[17] Matthias B T and Hulm J K 1952 Phys. Lett. 87 799
[18] Giorgi A L, Szklarz E G, Storms E K, Bowman A L and Matthias B T 1962 Phys. Lett. 125 837
[19] Willens R H, Buehler E and Matthias B T 1967 Phys. Lett. 159 327
[20] Peehen E V, Krasnosvobodtsev S I, Shabanova N P, Ekimov E V, Varlashkin A V, Nozdrin V S, Tschovrebov A M and Golovashkin A I 1994 Physica C 235-240 2511
[21] Pronin A V, Gorshunov B P, Volkov A A and Kozlov G V 1996 J. Exp. Theor. Phys+. 82 790
[22] Shang T, Zhao J Z, Gawryluk D J, Shi M, Medarde M, Pomjakushina E and Shiroka T 2020 Phys. Rev. B 101 214518
[23] Yan D, Geng D, Gao Q, Cui Z, Yi C, Feng Y, C Song, H Luo, M Yang, M Arita, S Kumar, E F Schwier, K Shimada, L Zhao, K Wu, H Weng, L Chen, X J Zhou, Z Wang, Y Shi and B Feng 2020 Phys. Rev. B 102 205117
[24] Tsong R M, Schmid M, Nagl C, Varga P, Davis R F and Tsong I S T 1996 Surf. Sci. 366 85
[25] Tagawa M, Kawasaki T, Oshima C, Otani S, Edamoto K and Nagashima A 2002 Surf. Sci. 517 59
[26] Yu L 1965 Acta Phys. Sin. 75 75 (in Chinese)
[27] Shiba H 1968 Prog. Theor. Phys. 40 435
[28] Rusinov A I 1969 J. Exp. Theor. Phys+. 29 1101
[29] Yazdani A, Jones B A, Lutz C P, Crommie M F and Eigler D M 1997 Science 275 1767
[30] Dynes R C, Narayanamurti V and Garno J P 1978 Phys. Rev. Lett. 41 1509
[31] Alldredge J W, Lee J, McElroy K, Wang M, Fujita K, Kohsaka Y, Taylor C, Eisaki H, Uchida S, Hirschfeld P J and Davis J C 2008 Nat. Phys. 4 319
[32] Hanaguri T, S Niitaka, K Kuroki and H Takagi 2010 Science 328 474
[33] Iwaya K, Kohsaka Y, Okawa K, Machida T, Bahramy M S, Hanaguri T and Sasagawa T 2017 Nat. Commun. 8 976
[34] Caroli C, De Gennes P G and Matricon J 1964 Phys. Lett. 9 307
[35] Hess H F, Robinson R B and Waszczak J V 1991 Physica B 169 422
[36] Odobesko A, Friedrich F, Zhang S B, Haldar S, Heinze S, Trauzettel B and Bode M 2020 Phys. Rev. B 102 174502
[37] Renner C, Kent A D, Niedermann P, Fischer O and Levy F 1991 Phys. Rev. Lett. 67 1650
[38] Gygi F and Schluter M 1991 Phys. Rev. B 43 7609
[39] Eskildsen M R, Kugler M, Tanaka S, Jun J, Kazakov S M, Karpinski J and Fischer O 2002 Phys. Rev. Lett. 89 187003
[40] Ginzburg V L and Landau L D 1950 Sov. Phys. JETP 20 1064 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
