Specific heat and electronic states of superconducting boron-doped silicon carbide

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 2, 2008, Pages

  Kriener, M ^a   Maeno, Y ^a   Oguchi, T ^b   Ren, Z A ^c   Kato, J ^c   Muranaka, T ^c   Akimitsu, J ^c  

^a KYOTO UNIVERSITY   (Japan)

^b HIROSHIMA UNIVERSITY   (Japan)

^c AOYAMA GAKUIN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 48449105168     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.024517     Document Type: Article

References (76)

1. E. A. Ekimov, V. A. Sidorov, E. D. Bauer, N. N. Mel'nik, N. J. Curro, J. D. Thompson, and S. M. Stishov, Nature (London) NATUAS 0028-0836 10.1038/nature02449 428, 542 (2004).
2. E. Bustarret, C. Marcenat, P. Achatz, J. Kačmarčik, F. Lévy, A. Huxley, L. Ortéga, E. Bourgeois, X. Blase, D. Débarre, and J. Boulmer, Nature (London) NATUAS 0028-0836 10.1038/nature05340 444, 465 (2006).
3. Z. A. Ren, J. Kato, T. Muranaka, J. Akimitsu, M. Kriener, and Y. Maeno, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.103710 76, 103710 (2007).
4. M. L. Cohen, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.134.A511 134, A511 (1964).
5. R. A. Hein, J. W. Gibson, R. Mazelsky, R. C. Miller, and J. K. Hulm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.12.320 12, 320 (1964).
6. R. A. Hein and P. H. E. Meijer, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.179.497 179, 497 (1969).
7. J. F. Schooley, W. R. Hosler, E. Ambler, J. H. Becker, M. L. Cohen, and C. S. Koonce, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.14.305 14, 305 (1965).
8. H. Kawaji, H. O. Horie, S. Yamanaka, and M. Ishikawa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1427 74, 1427 (1995).
9. F. M. Grosche, H. Q. Yuan, W. Carrillo-Cabrera, S. Paschen, C. Langhammer, F. Kromer, G. Sparn, M. Baenitz, Y. Grin, and F. Steglich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.247003 87, 247003 (2001).
10. D. Connétable, V. Timoshevskii, B. Masenelli, J. Beille, J. Marcus, B. Barbara, A. M. Saitta, G.-M. Rignanese, P. Mélinon, S. Yamanaka, and X. Blase, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.247001 91, 247001 (2003).
11. P. Dai, Y. Zhang, and M. P. Sarachik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1914 66, 1914 (1991).
12. E. Bustarret, E. Gheeraert, and K. Watanabe. Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.200303819 199, 9 (2003).
13. G. Baskaran, J. Supercond. Novel Magn. ZZZZZZ 1557-1939 21, 45 (2008).
14. X. Blase, Ch. Adessi, and D. Connétable, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237004 93, 237004 (2004).
15. L. Boeri, J. Kortus, and O. K. Andersen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237002 93, 237002 (2004).
16. E. Bustarret, J. Kačmarčik, C. Marcenat, E. Gheeraert, C. Cytermann, J. Marcus, and T. Klein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237005 93, 237005 (2004).
17. K.-W. Lee and W. E. Pickett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237003 93, 237003 (2004).
18. Y. Takano, M. Nagao, I. Sakaguchi, M. Tachiki, T. Hatano, K. Kobayashi, H. Umezawa, and H. Kawarada, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1802389 85, 2851 (2004).
19. H. J. Xiang, Z. Li, J. Yang, J. G. Hou, and Q. Zhu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.212504 70, 212504 (2004).
20. H. Umezawa, T. Takenouchi, Y. Takano, K. Kobayashi, M. Nagao, I. Sakaguchi, M. Tachiki, T. Hatano, G. Zhong, M. Tachiki, and H. Kawarada, arXiv:cond-mat/0503303 (unpublished).
21. T. Yokoya, T. Nakamura, T. Matsushita, T. Muro, Y. Takano, M. Nagao, T. Takenouchi, H. Kawarada, and T. Oguchi, Nature (London) NATUAS 0028-0836 10.1038/nature04278 438, 647 (2005).
22. B. Sacépé, C. Chapelier, C. Marcenat, J. Kačmarčik, T. Klein, M. Bernard, and E. Bustarret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.097006 96, 097006 (2006).
23. D. Wu, Y. C. Ma, Z. L. Wang, Q. Luo, C. Z. Gu, N. L. Wang, C. Y. Li, X. Y. Lu, and Z. S. Jin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.012501 73, 012501 (2006).
24. E. Bourgeois and X. Blase, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2719663 90, 142511 (2007).
25. F. Giustino, J. R. Yates, I. Souza, M. L. Cohen, and J. G. Louie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.047005 98, 047005 (2007).
26. K. Ishizaka, R. Eguchi, S. Tsuda, T. Yokoya, A. Chainani, T. Kiss, T. Shimojima, T. Togashi, S. Watanabe, C.-T. Chen, C. Q. Zhang, Y. Takano, M. Nagao, I. Sakaguchi, T. Takenouchi, H. Kawarada, and S. Shin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.047003 98, 047003 (2007).
27. T. Shirakawa, S. Horiuchi, Y. Ohta, and H. Fukuyama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.014711 76, 014711 (2007).
28. Y. Takano, T. Takenouchi, S. Ishii, S. Ueda, T. Okutsu, I. Sakaguchi, H. Umezawa, H. Kawarada, and M. Tachiki, Diamond Relat. Mater. DRMTE3 0925-9635 10.1016/j.diamond.2007.01.027 16, 911 (2007).
29. T. Yokoya, E. Ikenaga, M. Kobata, H. Okazaki, K. Kobayashi, A. Takeuchi, A. Awaji, Y. Takano, M. Nagao, I. Sakaguchi, T. Takenouchi, K. Kobayashi, H. Kawarada, and T. Oguchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75. 205117 75, 205117 (2007).
30. P. Achatz, J. Pernot, C. Marcenat, J. Kacmarcik, G. Ferro, and E. Bustarret, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2885081 92, 072103 (2008).
31. K. Kádas, L. Vitos, and R. Ahuja, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2840696 92, 052505 (2008).
32. J. E. Moussa and M. L. Cohen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.064518 77, 064518 (2008).
33. J. Yu, K. Ji, C. Wu, and K. Nasu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.045207 77, 045207 (2008).
34. G. Baskaran, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 197007 90, 197007 (2003).
35. G. Baskaran, Sci. Technol. Adv. Mater. 7, S49 (2006). 1468-6996
36. J. Kačmarčik, C. Marcenat, C. Cytermann, A. Ferreira da Silva, L. Ortega, F. Gustafsson, J. Marcus, T. Klein, E. Gheeraert, and E. Bustarret, Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.200561934 202, 2160 (2005).
37. B. Sacépé, C. Chapelier, C. Marcenat, J. Kačmarčik, T. Klein, F. Omnès, and E. Bustarret, Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.200671405 203, 3315 (2006).
38. J. Nakamura, T. Oguchi, N. Yamada, K. Kuroki, K. Okada, Y. Takano, M. Nagao, I. Sakaguchi, H. Kawarada, R. C. C. Perera, and D. L. Ederer, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.054711 77, 054711 (2008).
39. J. B. Casady and R. W. Johnson, Solid-State Electron. SSELA5 0038-1101 10.1016/0038-1101(96)00045-7 39, 1409 (1996).
40. The web page http://www.ioffe.ru/SVA/NSM//Semicond/SiC/ offers a collection of normal-state properties of SiC.
41. G. Pensl and W. J. Choyke, Physica B (Amsterdam) 185, 264 (1993). 0921-4526
42. K. Momma and F. Izumi, J. Appl. Crystallogr. JACGAR 0021-8898 10.1107/S0021889808012016 41, 653 (2008).
43. Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Landolt-Börnstein, New Series, Group III Vol. 17, Pt. A, edited by, O. Madelung, (Springer-Verlag, Berlin, 1982)
44. Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Landolt-Börnstein, New Series, Group III Vol. 41, Pt. A1-α, edited by, O. Madelung, (Springer-Verlag, Berlin, 2001)
45. Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Landolt-Börnstein, New Series, Group III Vol. 41, Pt. A1-β, edited by, O. Madelung, (Springer-Verlag, Berlin, 2002).
46. H. Bracht, N. A. Stolwijk, M. Laube, and G. Pensl, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1325390 77, 3188 (2000).
47. R. Rurali, P. Godignon, J. Rebollo, P. Ordejón, and E. Hernández, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1515369 81, 2989 (2002).
48. Y. Gao, S. I. Soloviev, and T. S. Sudarshan, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1598622 83, 905 (2003).
49. F. Gao, W. J. Weber, M. Posselt, and V. Belko, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.245205 69, 245205 (2004).
50. M. Bockstedte, A. Mattausch, and O. Pankratov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115203 70, 115203 (2004).
51. A. Ferreira da Silva, J. Pernot, S. Contreras, B. E. Sernelius, C. Persson, and J. Camassel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74. 245201 74, 245201 (2006).
52. The values of the charge-carrier concentration n and the molar volume Vmol used in this paper are room-temperature values. We assume, that both quantities are only weakly temperature dependent.
53. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, New York, 1976).
54. V. A. Sidorov, E. A. Ekimov, S. M. Stishov, E. D. Bauer, and J. D. Thompson. Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.060502 71, 060502 (R) (2005).
55. L. Finegold, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.13.233 13, 233 (1964).
56. M. Tinkham, Introduction to Superconductivity, 2nd ed. (McGraw-Hill, New York, 1996).
57. B. Mühlschlegel, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01332932 155, 313 (1959).
58. G. E. Volovik and L. P. Gor'kov, Sov. Phys. JETP 61, 843 (1985). 0038-5646
59. K. Hasselbach, J. R. Kirtley, and J. Flouquet, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.509 47, 509 (1993).
60. R. A. Fisher, S. Kim, B. F. Woodfield, N. E. Phillips, L. Taillefer, K. Hasselbach, J. Flouquet, A. L. Giorgi, and J. L. Smith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1411 62, 1411 (1989).
61. S. NishiZaki, Y. Maeno, and Z. Mao, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022551313401 117, 1581 (1999).
62. The Ginzburg-Landau parameter is usually defined as κGL =λ (0) /ξ with ξ given by Eq. 8. Here we use the clean-limit definition κGL =0.96λ (0) /ξ (0) with ξ (0) defined by Eq. 5 (Ref.). The question of the cleanness of the sample used is discussed later in the text.
63. D. Saint-James and P. G. Gennes, Phys. Lett. PHLTAM 0031-9163 7, 306 (1963).
64. The three field strengths Hc, Hc2, and Hc3 satisfy the following inequalities with respect to the value of the GL parameter κGL (Ref.): Hc2 < Hc3 < Hc for κGL <0.417 (type-I superconductor with supercooling effect), Hc2 < Hc < Hc3 for 0.417< κGL <1/2 (type-I superconductor without supercooling effect), and Hc < Hc2 < Hc3 for 1/2< κGL (type-II superconductor).
65. J. Feder and D. S. McLachlan, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.763 177, 763 (1969).
66. C. Persson and U. Lindefelt, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.365578 82, 5496 (1997). Note that the DOS for 3C-SiC in this reference is approximately 10 times larger than our result.
67. D. F. Agterberg, T. M. Rice, and M. Sigrist, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3374 78, 3374 (1997).
68. A. A. Golubov, J. Kortus, O. V. Dolgov, O. Jepsen, Y. Kong, O. K. Andersen, B. J. Gibson, K. Ahn, and R. K. Kremer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/6/320 14, 1353 (2002).
69. M. L. Cohen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.36.240 36, 240 (1964).
70. M. Cardona, N. E. Christensen, and G. Fasol, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.1806 38, 1806 (1988).
71. G. Theodorou, G. Tsegas, and E. Kaxiras, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.369524 85, 2179 (1999).
72. P. A. Frigeri, D. F. Agterberg, A. Koga, and M. Sigrist, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.097001 92, 097001 (2004).
73. S. Fujimoto, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.051008 76, 051008 (2007).
74. C. H. Park, B.-H. Cheong, K.-H. Lee, and K. J. Chang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.4485 49, 4485 (1994).
75. Properties of Silicon Carbide, EMIS Datareviews Series No. 13, edited by, G. L. Haris, (INSPEC, London, 1995).
76. G. Burns, Introduction to Group Theory with Applications (Academic, New York, 1977).