NIGERIAN JOURNAL OF SCIENCE AND ENVIRONMENT
Journal of the Faculties of Science and Agriculture, Delta State University, Abraka, Nigeria
ISSN: 1119-9008
DOI: 10.5987/UJ-NJSE
Email: njse@universityjournals.org
A GENERALIZED SEMI-EMPIRICAL TC EXPRESSION OF THE ISOSUPERCONDUCTIVITY THEORY
DOI: 10.5987/UJ-NJSE.17.082.1 | Article Number: 448CDB13 | Vol.11 (1) - September 2012
Author: Akpojotor E. G.
As the international scientific community celebrates the first century of the discovery of superconductivity this year, 2011, an outstanding problem is achieving a generalized mechanism of the Cooper pair formation (CPF). In this current study, it has been shown that at short distances, the CPF is by a nonlinear, nonlocal and nonhamiltonian strong hadronic-type interactions due to deepwave-overlapping of spinning particles leading to Hulthen potential that is attractive between two electrons in singlet couplings while at large distance the CPF is by superexchange interaction which is purely a quantum mechanical affairs. It is observed that for both distances the control parameter responsible for the superconducting state is the effective valence z. Therefore a semiemperical Tc expression depending on the effective valence is obtained. This Tc expression gives the same results as the successful BCS Tc expression but unlike the latter whose predicting power is limited to 25 K, the former predicts higher temperatures even beyond room temperature. The implication is that unlike the BCS theory that is restricted to conventional superconductors, the isosuperconductivity theory can be used to account for the conventional and the non-conventional su-
Akpojotor, G. E. (2008). Possible propagation of the Zhang–Rice singlet as a probable Cooper channel in the CuO2 planes, Physics Letters A 372: 6992–6995.
Akpojotor, G. E. (2009). Effective Valence as the control parameter of the iron pnictide Tc, J. of NAMP 15: 297 - 304.
Akpojotor, G. E. and Animalu, A. E. (2011). Iso-superconductivity model: generalization of the Cooper pair formation model of superconductors. Proceedings of the Third International Conference on Lie-Admissible treatment of Irreversible Processes (ICLATIP-3), Kathmandu University, Nepal, 639 – 656.
Akpojotor G. E. and Oseji J. O. (2002). Ranges and limits of the electron-phonon coupling constant of superconductivity, Nigerian Journal of Physics, 16(2): 162 -166.
Alexandrov, A.S. (1996). Theory of Superconducting Tc of doped Fullerenes, Physics Reviews. B54: 3655-3661.
Animalu, A.O.E. (1977) Intermediate Quantum Theory of Crystalline Solids, Prentice -Hall,Inc., Englewood Cliffs, New Jersey.
Animalu A. E. (1991). Application of hadronic mechanics to the theory of pairing in high Tc superconductors, Hadronic Journal 14: 459 – 499.
Animalu A. E. (1994). Visual image. Hadronic Journal 17: 349-427.
Animalu, A. E., Akpojotor, G. E. and Ironkwe, P. I. (2009). Generalization of conventional BCS model to isosuperconductivity model of high-Tc superconductivity in the cuprates and pnictides, African Journal of Physics 2: 46- 62.
Animalu, A. E. and Santilli, R.M. (1995). Nonlocal isotopic representation of the Cooper pair of superconductivity, International Journal Quantum Chemistry 29: 175 - 187.
Bednorz, J. G. and Mueller, K. A., (1986). Possible High Tc Superconductivity in the Ba-La-Cu-O System, Zeitschrift fur Physik B 64(2): 189-193.
Bednorz, J.G and Muller, K.A. (1988). Perovskite-type Oxides-The new approach to high-Tc superconductivity. Reviews in Modern Physics 60: 585-600.
Bennemann, K. H. and Ketterson, J. B. (2008). Superconductivity, Conventional and Unconventional Superconductors, Vol 1. Springer, Berlin.
Buckel, W. and Kleiner, R. (2004). Superconductivity: Fundamentals and Applications (Physics) (2nd Edition), Wiley-VCH, Berlin.
Cooper, L.N. (1956). Bound Electrons Pairs in a Degenerate Fermi Gas. Physics Reviews 104: 1189 - 1190.
Dirac, P.A.M (1989). My life in Physics. World Scientific Publishing Co. pte Ltd, Singapore.
Gandzha, I. and Kadeisvily, J. (2010). New sciences for a new era: mathematical, physical and chemical discovery of Ruggero Maria Santilli. The R. M. Santilli Foundation, Florida.
Ginzburg, V.L. and Kirzhnits, D.A. (1987). In Superconductivity, Supermagmetism, Superfluidity, Mir Publishers, Moscow.
Heid R., Bohnen K. P., Zeyher R. and Manske D. (2008). Momentum dependence of the electron-phonon coupling and self-energy effects in superconducting YBa2Cu3O7 within the local density approximation. Physical Review Letters 100: 137001 - 137005.
Hirsch, J.E. (2009). BCS theory of superconductivity: it is time to question its validity,Physica Scripta 80: 0357021 (11pp).
Hott, R., Kleiner, R., Wolf, T. and Zwicknagl, G (2005). Frontiers of superconducting materials (Narlikar, A.V.Ed), Springer, Berlin.
Maxwell, E. (1950). Isotopic Effect in the superconductivity of Mercury. Physics Reviews. 78: 477.
Pashkin, A., Porer, M., Beyer, M., Kim, K. W., Dubroka, A., Bernhard, C., Yao, X., Dagan, Y., Hackl, R., Erb, A., Demsar, J., Huber, R. and Leitenstorfer, A., (2010). Femtosecond response of quasiparticles and phonons in superconducting YBa2Cu3O7-δ studied by wideband terahertz spectroscopy. Physical Review Letters 105 (6): 1 – 4.
Reynolds, C.A., Serin, B., Wright, W.H. and Nesbitt, L.B. (1950). Superconductivity of Isotope of Mercury. Physics Reviews. 78: 487.
Rickayzen, G. (1965) Theory of Superconductivity, Wiley- Interscience, New York.
Santilli, R.M. (1978). Need of subjecting to an experimental verification the validity within a hadron of Einstein ‘s special relativity and Pauli’s exclusion principle, Hadronic Journal 1: 574 - 901.
Santilli, R.M. (2001). Foundations of Hadronic Chemistry with Applications to new Clean Energies and Fuels. Kluwer Academic Publishers, Dordrecht, Boston, London.
Santilli, R.M. and Shalling, D. D. (1999). A new iso-chemical model of hydrogen molecule. International Journal of Hydrogen Energy 24: 943 – 956.
Schmalian, J. (2011). Bardeen Cooper and Schrieffer: 50 Years (Cooper, L.N. and Feldman, D.Eds) World Scientific Publishing Co Pte Ltd, Singapore.
Schrieffer, J.R., Wen, X.G. and Zhang, S.C., (1989). Dynamic spin fluctuations and bag mechanism of high-Tc superconductors. Physics Reviews B39: 11663 – 11679.
Stockert, O., Arndt, J., Faulhaber, E., Geibel, C., Jeevan, H. S., Kirchner, S., Loewenhaupt, M., Schmalzl, K., Schmidt, W., Si Q. and Steglich, F. (2011). Magnetically driven superconductivity in CeCu2Si2, Nature Physics 7:119 - 124.