Volume 3, Issue 2, June 2018, Page: 19-24
Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor
Odhiambo Oloo Jared, Department of Science Technology and Engineering, Faculty of Science, Kibabii University, Bungoma, Kenya
Makokha John Wanjala, Department of Science Technology and Engineering, Faculty of Science, Kibabii University, Bungoma, Kenya
Received: Mar. 27, 2018;       Accepted: May 2, 2018;       Published: Jun. 11, 2018
DOI: 10.11648/j.wjap.20180302.11      View  443      Downloads  27
A theoretical study considering Bi2201, Bi2212 and Bi2223 bismuth based cuprates whose critical Temperatures (TC) are 20K, 95K and 110K with one, two and three CuO2 planes respectively; based on a three electron model in Bismuth based cuprates oxide shows that there is a direct correlation between energy of interaction and the number of CuO2 planes at the TC. The specific heat for a mole of Bismuth based cuprates at TC was found to be 7.471×10-24JK-1 regardless of the number of CuO2 planes; though the specific heat per unit mass, Sommerfeld coefficient as well as entropy per unit mass decreased with an increase in the number of CuO2 planes.The entropy of a mole of Bismuth based cuprates at TC was found to be 5.603×10-24JK-1 irrespective of the TC or mass. The peak Sommerfeld coefficient temperature was noted to occur at the ratio T/TC=0.66 in the bismuth based cuprates.
Superconductivity, Sommerfeld Coefficient, Specific Heat, Entropy
To cite this article
Odhiambo Oloo Jared, Makokha John Wanjala, Specific Heat and Entropy of a Three Electron Model in Bismuth Based Cuprate Superconductor, World Journal of Applied Physics. Vol. 3, No. 2, 2018, pp. 19-24. doi: 10.11648/j.wjap.20180302.11
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Onnes H. K., (1911), The resistance of pure mercury at helium temperatures, Commun.,Phys. Lab. Univ. Leiden12:120.
Bednorz G. J., and Mueller K. A., (1986), Possible high Tc superconductivity in the Ba−La−Cu−O system, Zeitschrift fur Physik B, 64 (1): 189-193.
Wu M. K., Ashburn J. R., Torng C. J., Hor P. H., Meng R. L., Gao L., Huang Z. J., Wang Y. Q., and Chu C. W., (1987), Superconductivity at 93 K in a New Mixed-Phase Y-Ba-Cu-O Compound System at Ambient Pressure, Physical Review Letters, 58 (9): 908–910.
Maeda H, Tanaka Y, Fikutomi M, Asano T (1988). A New High-Tc Oxide Superconductor without a Rare Earth Element, Jpn. J. Appl. Phys. 27: L209- L210.
Sheng Z. Z. and Hermann A. M. (1988), Superconductivity in the rare-earth free Tl–Ba–Cu-O system above liquid nitrogen temperature. Nature, 332: 55–58.
Schilling A., Cantoni M., Guo J. D., Ott H. R., (1993), Superconductivity above 130 K in the Hg-Ba-Ca-Cu-O system, Nature, 363:56-58.
Onbasil U., Ozdemir G. Z., and Asian O., (2009), Symmetry breaking and topological solitons in mercury based d-wave superconductivity, Chaos soliton and fractals,42(4):1980 – 1989.
Ihara H., Hırobayashi M., Tanino H., Tokiwa K., Ozawa H., Akahana Y., Kawamura H., (1993), The Resistivity Measurements of HgBa2Ca2Cu3O8+x and HgBa2Ca3Cu4O10+x Superconductors under High Pressure,Japan J. App. Physics, 32:L1732-L1734.
Kamihara Y., Watanabe T., Hirano M., and Hosono H. (2008), Iron-Based Layered Superconductor LaO1-x FxFeAs (x = 0.05 - 0.12) with Tc = 26K. Journal of the American Chemical Society, 130(11):3296-3297.
Drozdov A. P., Eremets M. I., Troyan I. A., Ksenofontov V. and Shylin S. I., (2015), Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system, Nature, 525: 73–79.
Michel C., Hervieu M., Borel M. M., Grandin A., Deslandes F., Provost J. and Raveau B. (1987), Superconductivity in the Bi-Sr-Cu-O system, Zeitschrift fur Physik B,68(4): 421-423.
Mourachkine A., (2002), High-Temperature Superconductivity in Cuprates: The Nonlinear Mechanism and Tunneling Measurements, Kluwer Academic Publishers, New York.
Odhiambo J. O., Sakwa T. W., Rapando B.W. and Ayodo Y. K., (2016), Effect of CuO2 plane on the thermodynamic properties of double Tl-O layered Cuprate based on an interaction between Cooper pair and an electron, International Journal of Physics and Mathematical Sciences, 6(2): 69-77.
Odhiambo J. O., Sakwa T. W., Ayodo Y. K., and Rapando B.W., (2016), Thermodynamic properties of Mercury based cuprate due to Cooper pair - electron interaction, Journal of Multidisciplinary Engineering Science and Technology, 3(7): 5241–5248.
Chen X. J. and Lin H. Q., (2004), Variation of the superconducting transition temperature of hole-doped copper oxides, Physics Review B, 69:104518.
Sigei F. K., (2013), Theoretical determination of specific heat and critical temperature of High-Tccuprates superconductors based on intralayer and interlayer interactions. MSc (Physics) Thesis, University of Eldoret, Kenya.
Tešanović Z., (1987), Role of interlayer coupling in oxide superconductors, Physics Review B, 36: 2364.
Greenblatt M., Li S., McMills L. E. H. and Ramanujachary K. V., (1990), Chemistry and Superconductivity of Thallium-Based cuprates, Studies of High Temp Superconductors. U. S. Naval Research Technical Report, No. 56.
Md. Atikur R., Md. Zahidur R., and Md. Nurush S., (2015), A Review on Cuprate Based Superconducting Materials Including Characteristics and Applications, American Journal of Physics and Applications, 3(2):39-56.
Cyrot M. and Pavuna D., (1995), Introduction to Superconductivity and High-Tc Materials, World Scientific, Singapore.
Ayodo Y. K., Khanna K. M., and Sakwa W. T., (2010), Thermodynamical variations and stability of a binary Bose-Fermi system, Indian Journal of Pure & Applied Physics, 48: 886–892.
Kibe E. H., (2015), Thermodynamic Properties of Heavy Fermion Superconductors, M.Sc (Physics) thesis, Masinde Muliro University of Science and Technology.
Rapando B. W., Khanna K. M., Tonui J. K., Sakwa T. W., Muguro K. M.,Kibe H., Ayodo Y. K., and Sarai A., (2015), The dipole mediated t-J model forhigh-Tc superconductivity, International Journal of Physics and Mathematical Sciences, 5 (3):32–37.
Sakwa T. W., Ayodo Y. K., Sarai A., Khanna K. M., Rapando B. W., and Mukoya A. K., (2013), Thermodynamics of a Grand-Canonical Binary System atLow Temperatures; International Journal of Physics and Mathematical Sciences; 3(2):87-98.
Waswa M. N., Ayodo Y. K., Sakwa T. W., Ndinya B. and Kibe, H (2017), Doped Mott Insulators within the Strong Coupling Regime, International Journal of Recent Engineering Research and Development, 2 (7): 102-108.
Ndinya B. O., and Okello A., (2014), Thermodynamics properties of a system with finite heavy mass nuclei, American Journal of Modern Physics, 3(6): 240-244, ISSN: 2326-8867 (Print), ISSN: 2326-8891 (Online).
Norman M. R., Randeria M., Ding H., and Campuzano J. C. (1995), Phenomenological models for the gap anisotropy of Bi2Sr2CaCu2O8 as measured by Angle-resolved Photoemission Spectroscopy, Physical Review B., 52: 615.
Ding H., Campuzano J. C., Bellman A. F., Yokoya T., Norman M. R., Randeria M., Takahashi T., Katayama-Yoshida H., Mochiku T., Kadowaki K., and Jennings G. (1995), Momentum Dependence of the Superconducting Gap in Bi2Sr2CaCu2O8. Physical Review Letters, 74: 2784–2787.
Abdel-Hafiez M., Zhang Y., He Z., Zhao J., Bergmann C., Krellner C., Duan C.,Lu X., Luo H., Dai P., and Chen X., (2015), Nodeless superconductivity in the presence of spin-density wave in pnictide superconductors:The case of BaFe2−xNixAs2; Physical Review B,91: 024510(1) - 024510(10).
Bagatskii M. I., Sumarokov V. V., Barabashko M. S., Dolbin A. V., and Sundqvist B., (2015), The low-temperature heat capacity of fullerite C60, Journal of Low Temperature Physics, 41(8):630–636.
Bhattacharyya A., Adroja D., Kase N., Hillier A., Akimitsu J.,and Strydom A., (2015),Unconventional superconductivity in Y5Rh6Sn18 probed by muon spin relaxation, Scientific Report,5:12926(1)-12926(8).
Saxena K. A. (2010), High Temperature Superconductors, Springer-Verlag, Berlin.
Bessergeven V. G., Kovalevskaya Y. A., Naumov V. N., and Frolova G. I., (1995), Phonon characteristic of YBa2Cu3O7-δ, Physica C, 245:36-40.
Royston L. N., (2001), Specific heat measurements on chevrel phase materials exhibiting coexistence of superconductivity and magnetism, Ph.D. Thesis, Physics department, Durham University, Online: http://etheses.dur.ac.uk/3849
Loram J. W., Mirza K. A., Cooper J. R., and Liang W. Y., (1993), Electronic Specific heat of YBa2Cu3O6+x from 1.8 to 300K, Physics Review Letters, 71:1740-1743.
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