The Journal of the Korea institute of electronic communication sciences (한국전자통신학회논문지)

Korea Institute of Electronic Communication Science (한국전자통신학회)
권호 표지
DOI QR코드

DOI QR Code

A Theory of Specific Heat Discontinuity of the Superconducting Crystals by Using the Linear Model for Critical Magnetic Field

임계 자기장 선형 모델을 이용한 초전도 결정의 비열 불연속성 이론

  • Kim, Cheol-Ho (Dept. of Electronic Engineering, Honam University)
  • 김철호 (호남대학교 전자공학과)
  • Received : 2017.09.07
  • Accepted : 2018.02.15
  • Published : 2018.02.28
Download PDF
⟨ Previous Next ⟩

Abstract

We derive a gap of specific heat discontinuity of superconducting crystals theoretically at the critical temperature $T_{CH}$ as an explicit function of applied magnetic field H by using the thermodynamic relations for Gibbs free energy and the linear model for the critical magnetic field $H_{CT}$. The derived a gap of specific heat discontinuity is compared with experimental results by J. Kacmarcik et al. for superconducting MgCNi3 crystal. Our specific heat gap function well explain the jump up phenomena of the superconducting crystals.

초전도 결정의 임계 온도 $T_{CH}$에서의 비열 불연속 폭을, Gibbs 자유 에너지에 관한 열역학 관계식과 임계 자기장 $H_{CT}$의 선형 모델을 이용하여, 인가 자기장 H의 함수로 이론적으로 구한다. 그리고 구한 비열 불연속 폭을 J. Kacmarcik 등에 의한 MgCNi3 초전도체 결정 대상의 실험 결과와 비교 분석한다. 여기서 구한 비열 불연속 폭은 초전도체 결정의 비열 점프 업 현상을 잘 설명한다.

Keywords

References

  1. H. Kamimura and K. Nakao, Theory of Electronic Properties of Materials, Tokyo: Baifukan 1995, pp. 91-109.
  2. T. Sakudo, Solid State Physics, Magnetism and Superconductivity, Tokyo: Shokabo 1993, pp. 84-101.
  3. S. Kishino, Physics of Superconductor Electronics, Tokyo: Maruzen 1993, pp. 63-91.
  4. N. Mikoshiba and K. Suzuki, Introduction to Physics of Superconductivity, Tokyo: Baifukan 1995, pp. 1-41.
  5. M. Yamamura, Superconductor Engineering, Tokyo: Denkigakkai 1994, pp. 3-26.
  6. A. Rose-Innes and E. Rhoderick, Introduction to Superconductivity, Tokyo: Sangyotosho 1996, pp. 38-60.
  7. C. Sun, J. Lin, S. Mollah, P. Ho, D. Yang, F. Hsu, Y. Liao, and M. Wu, "Magnetic field dependence of low-temperature specific heat of the spinel oxide superconductor $LiTi_2O_4$," Phys. Rev. B, vol. 70, 2004, pp. 054519.1-8.
  8. K. Machida and M. Ichioka, "Magnetic field dependence of low-temperature specific heat in $SR_2RuO_4$," Phys. Rev. B, vol. 77, 2008, pp. 184515.1-7.
  9. C. Huang, J. Lin. C. Sun, T. Lee, J. Kim, E. Choi, S. Lee, and H. Yang, "Comparative analysis of specific heat of $YNi_2B_2C$ using nodal and two-gap models," Phy. Rev. B, vol. 73, 2006, pp. 012502.1-4.
  10. J. Kacmarcik, Z. Pribulova, C. Marcenat, P. Samuely, T. Klein, A. Demuer, and S. Lee, "Specific heat of superconducting $MgCNi_3$ single crystals," Journal of physics: Conference Series, vol. 150, 2009, pp. 052087.1-4.
  11. I. Eo and C. Kim, "Theory of specific heat discontinuity of the superconductor under applied magnetic field," J. Korean Crystal Growth and Crystal Technology, vol. 14, no. 1, 2004, pp. 17-20.
  12. C. Kim, "Magnetic field dependence of low temperature specific heat jump in superconducting crystal," Kor. J. Mater. Res., vol. 21, no. 2, 2011, pp. 73-77. https://doi.org/10.3740/MRSK.2011.21.2.73
  13. C. Kim, "Specific heat jump of superconducting crystal in low temperature'', J. Korean Crystal Growth and Crystal Technology, vol. 21, no. 1, 2011, pp. 1-5. https://doi.org/10.6111/JKCGCT.2011.21.1.001
  14. J. Jung, I. Choy, and J. Choi, "Modeling and Analysis of the Buck Converter in Photovoltaic Power Conditioning System," J. of the Korea Institute of Electronic Communication Sciences, vol. 8, no. 7, 2013, pp. 1039-1048. https://doi.org/10.13067/JKIECS.2013.8.7.1039
  15. S. Lee, S. Kang, and Y. Joung, "A Study on the Solution Prepared System Design for Analysis Automation," J. of the Korea Institute of Electronic Communication Sciences, vol. 8, no. 7, 2013, pp. 1033-1038. https://doi.org/10.13067/JKIECS.2013.8.7.1033
  16. D. Suh and C. Park, "A Novel Method of Basic Probability Assignment Calculation," J. of the Korea Institute of Electronic Communication Sciences, vol. 8, no. 3, 2013, pp. 465-470. https://doi.org/10.13067/JKIECS.2013.8.3.465
  17. Y. Park, "Study on the Array type antenna of 1.8GHz," J. of the Korea Institute of Electronic Communication Sciences, vol. 11, no. 10, 2016, pp. 929-934. https://doi.org/10.13067/JKIECS.2016.11.10.929
  18. H. Chung and D. Kim, "The Calculation of the Energy Band Gaps of Zincblende GaP1-xNx," J. of the Korea Institute of Electronic Communication Sciences, vol. 12, no. 5, 2017, pp. 783-790. https://doi.org/10.13067/JKIECS.2017.12.5.783