초전도 결정의 저온 비열 점프의 자기장 의존성

김철호; Cheol Ho Kim

Korean Journal of Materials Research, Vol.21, No.2, 73-77, February, 2011

DOI10.3740/MRSK.2011.21.2.73 Export Citation

초전도 결정의 저온 비열 점프의 자기장 의존성

Magnetic Field Dependence of Low Temperature Specific Heat Jump in Superconducting Crystal

김철호^†

호남대학교 전자광공학과

Cheol Ho Kim^†

Department of Electronic and Optical Engineering, Honam Univiversity, Gwangju 506-714, Korea

E-mail:

Specific heat of a crystal is the sum of electronic specific heat, which is the specific heat of conduction electrons, and lattice specific heat, which is the specific heat of the lattice. Since properties such as crystal structure and Debye temperature do not change even in the superconducting state, the lattice specific heat may remain unchanged between the normal and the superconducting state. The difference of specific heat between the normal and superconducting state may be caused only by the electronic specific heat difference between the normal and superconducting states. Critical temperature, at which transition occurs, becomes lower than Tc0 under the influence of a magnetic field. It is well known that specific heat also changes abruptly at this critical temperature, but magnetic field dependence of jump of specific heat has not yet been developed theoretically. In this paper, specific heat jump of superconducting crystals at low temperature is derived as an explicit function of applied magnetic field H by using the thermodynamic relations of A. C. Rose-Innes and E. H. Rhoderick. The derived specific heat jump is compared with experimental data for superconducting crystals of MgCNi3, LiTi2O4 and Nd0.5Ca0.5MnO3. Our specific heat jump function well explains the jump up or down phenomena of superconducting crystals.

Keywords:specific heat jump;superconductor;magnetic field;thermodynamics

[References]

Kishino S, Physics of Superconductor Electronics, 1st ed.,p.1, Maruzen, Tokyo (1993) (in Japanese). (1993)
Tinkham M, Introduction to Superconductivity, 3rd ed.,p.18, Sangyotosho, Tokyo (1975) (in Japanese). (1975)
Sakudo T, Solid State Physics : Magnetism and Superconductivity, 1st ed., p.84, Shokabo, Tokyo (1993) (in Japanese). (1993)
Michoshiba N, Suzuki K, Introduction to Physics of Superconductivity, 1st ed., p.1, Baifukan, Tokyo (1995)(in Japanese). (1995)
Yamamura M, Superconductor Engineering, 5th ed., p.1,Denkigakkai, Tokyo (1994) (in Japanese). (1994)
Hiraka H, Endoh Y, J. Phys. Soc. Jpn., 68, 36 (1999)
Choi JH, Doh H, Choi EM, Kim HJ, Lee SI, Yamamoto T, Kawae T, Takeda K, J. Phys. Soc. Jpn., 70, 3037 (2001)
Machida K, Ichioka M, Phys. Rev. B, 77, 184515 (2008)
Baak J, Brom HB, Menken MJV, Menovsky AA, Phys. C Supercond., 162-164, 500 (1989)
Eo IS, Kim CH, J. Kor. Cryst. Growth & Cryst. Tech., 14, 17 (2004)
Khanna KM, Karap Kirui MS, Sakwa TW, Torongey PK, Ayodo KY, Rotich S, Indian J. Pure Appl. Phys., 45, 991 (2007)
Huang CL, Lin JY, Sun CP, Lee TK, Kim JD, Choi EM, Lee SI, Yang HD, Phy. Rev. B, 73, 012502 (2006)
Kallio A, Braysy V, Hissa J, Phys. C Supercond., 364-365, 43 (2001)
Sun CP, Lin JY, Mollah S, Ho PL, Yang HD, Hsu FC, Liao YC, Wu MK, Phys. Rev. B, 70, 054519 (2004)
Rose-Innes AC, Rhoderick EH, Introduction to Superconductivity, 2nd ed., p.38, Pergamon Press, New York, (1978) (in Japanese). (1978)
Kacmarcik J, Pribulova Z, Marcenat C, Samuely P, Klein T, Demuer A, Lee SI, J. Phys. Conf., 150, 052087 (2009)
Lopez J, De Lima OF, Lisboa-Filho PN, Araujo-Moreira FM, Phys. Rev. B, 66, 214402 (2002)

[1] Kishino S, Physics of Superconductor Electronics, 1st ed.,p.1, Maruzen, Tokyo (1993) (in Japanese). (1993)

[2] Tinkham M, Introduction to Superconductivity, 3rd ed.,p.18, Sangyotosho, Tokyo (1975) (in Japanese). (1975)

[3] Sakudo T, Solid State Physics : Magnetism and Superconductivity, 1st ed., p.84, Shokabo, Tokyo (1993) (in Japanese). (1993)

[4] Michoshiba N, Suzuki K, Introduction to Physics of Superconductivity, 1st ed., p.1, Baifukan, Tokyo (1995)(in Japanese). (1995)

[5] Yamamura M, Superconductor Engineering, 5th ed., p.1,Denkigakkai, Tokyo (1994) (in Japanese). (1994)

[6] Hiraka H, Endoh Y, J. Phys. Soc. Jpn., 68, 36 (1999)

[7] Choi JH, Doh H, Choi EM, Kim HJ, Lee SI, Yamamoto T, Kawae T, Takeda K, J. Phys. Soc. Jpn., 70, 3037 (2001)

[8] Machida K, Ichioka M, Phys. Rev. B, 77, 184515 (2008)

[9] Baak J, Brom HB, Menken MJV, Menovsky AA, Phys. C Supercond., 162-164, 500 (1989)

[10] Eo IS, Kim CH, J. Kor. Cryst. Growth & Cryst. Tech., 14, 17 (2004)

[11] Khanna KM, Karap Kirui MS, Sakwa TW, Torongey PK, Ayodo KY, Rotich S, Indian J. Pure Appl. Phys., 45, 991 (2007)

[12] Huang CL, Lin JY, Sun CP, Lee TK, Kim JD, Choi EM, Lee SI, Yang HD, Phy. Rev. B, 73, 012502 (2006)

[13] Kallio A, Braysy V, Hissa J, Phys. C Supercond., 364-365, 43 (2001)

[14] Sun CP, Lin JY, Mollah S, Ho PL, Yang HD, Hsu FC, Liao YC, Wu MK, Phys. Rev. B, 70, 054519 (2004)

[15] Rose-Innes AC, Rhoderick EH, Introduction to Superconductivity, 2nd ed., p.38, Pergamon Press, New York, (1978) (in Japanese). (1978)

[16] Kacmarcik J, Pribulova Z, Marcenat C, Samuely P, Klein T, Demuer A, Lee SI, J. Phys. Conf., 150, 052087 (2009)

[17] Lopez J, De Lima OF, Lisboa-Filho PN, Araujo-Moreira FM, Phys. Rev. B, 66, 214402 (2002)