Invariant Magnetic Vector Potential in the Mercury Based High- Temperature Superconductor and Its Prospective Technological Application

Yıl 2018, Cilt: 1 Sayı: 1, 1 - 6, 01.01.2018

Z Güven Özdemir

Öz

Magnetic vector potential, A has great importance in various superconducting phenomena such as Aharonov-Bohm effect, Josephson effect, SQUID applications etc. due to the fact that A is directly related to the phase difference in the superconducting system. In this work, magnetic vector potential value has been calculated numerically for the optimally oxygen doped HgBa2Ca2Cu3O8+x mercury cuprate superconductor via interlayer theory at low temperatures by using magnetization versus applied magnetic field data. It has been surprisingly determined that regardless of the temperature variation; the quantity of magnetic vector potential remains unchanged. In this context, it has been determined that magnetic vector potential is an invariant parameter of the system investigated. Moreover, momentum conserving interlayer tunneling i.e. coupling between superconducting copper oxide layers for a low-temperature interval of 3K-5K has been proved for the first time. Hence, invariant magnetic vector potential corresponds to the concept of the constant phase difference. Ultimately, this work gives a reliable method for deciding about working temperature interval for technologists who want to design an intrinsic phase detector which has the property of constant phase difference

Anahtar Kelimeler

Invariant magnetic vector potential, mercury cuprates, momentum conserving interlayer theory, phase

Kaynakça

• T.T. Wu and C.N. Yang, “Concept of nonintegrable phase factors and global formulation of gauge fields”, Phys. Rev. D, vol. 12, pp. 3845-3857, 1975.
• H. Lyre, “Aharonov—Bohm Effect”, in: Compendium of Quantum Physics, D. Greenberger, K. Hentschel, F. Weinert F. (Eds.), Springer, Berlin, Heidelberg 2009, pp. 1-3.
• Y.Aharonov and D. Bohm, “Significance of electromagnetic potentials in the quantum theory”, Phys. Rev., vol. 115 pp. 485-491, 1959.
• R. Doll and M. Nabauer, “Experimental proof of magnetic flux quantization in a superconducting ring”, Phys. Rev. Lett., vol.7, pp. 51-52, 1961.
• B.S. Deaver and W.M. Fairbank, “Experimental evidence for quantized flux in superconducting cylinders”, Phys. Rev. Lett., vol. 7, pp. 43-46, 1961.
• A.V. Khudchenko, V.P. Koshelets, P.N. Dmitriev, A.B. Ermakov, P.A. Yagoubov, and O.M. Pylypenko, “Cryogenic phase detector for the superconducting integrated receiver”, IEEE Trans. Appl. Supercond. vol. 17, pp. 605-608, 2007.
• P.V. Koshelets, S.V Shitov, A.B. Ermakov, L.V. Filippenko, O.V. Koryukin, A.V. Khudchenko, M.Y. Torgashin, P.A. Yagoubov, R.W.M. Hoogeveen, and O.M. Pylypenko, “Superconducting integrated receiver for TELIS”, IEEE. Trans. Appl. Supercond., vol. 15, pp. 960-963, 2005.
• V.P. Koshelets, S.V. Shitov, P.N. Dmitriev, A.B. Ermakov, L.V. Filippenko, V.V. Khodos, V.L. Vaks, A.M. Baryshev, P.R. Wesselius, superconducting integrated receiver: Prospects and limitations”, Physica C, vol. 367, pp. 249–255, 2002. a phase-locked
• V.P. Koshelets and S.V. Shitov, “Integrated superconducting receivers”, Superconductor Science and Technology, vol. 13, pp. R53–R69, 2000.
• S. Chakravarty and P.W. Anderson, “Interlayer Josephson tunneling and breakdown of Fermi liquids”, Phys. Rev. Lett., vol. 72, pp. 3859-3862, 1994.
• S. Chakravarty, A. Sudbİ, and P.W. Anderson, “Strong interlayer tunneling and gap anisotropy in high temperature superconductors”, Science, vol. 261, pp. 337-340, 1993.
• Ö. Aslan Çataltepe, “Mercury cuprates bring symmetry breaking of the Universe to laboratory”, in: Lifetime of the Waves From Nano To Solitons In My Life, Ü. Onbaşlı, Ed., Kerela, India:Transworld Research http://www.trnres.com/ebook/uploads/onbaslicontent/T_1350723744 5%20Onbasli.pdf)243. (Available from [13]
• Ö.Aslan Çataltepe, “Some chaotic points in cuprate superconductors”, in: Superconductor, A.M. Luiz, Ed., India: Sciyo http://www.intechopen.com/articles/show/title/some-chaotic-points in-cuprate-superconductors) pp. 273-290. (Available from
• Ü. Onbaşlı, Z. Güven Özdemir, “Superconductors and quantum gravity”, in: Superconductor, A.M. Luiz, Ed., India: Sciyo Company, http://www.intechopen.com/articles/show/title/superconductors-and- quantum-gravity) 291-310. (Available from
• Ü. Onbaşlı, Z. Güven Özdemir, and Ö. Aslan, “Symmetry breakings and topological solitons in mercury based d-wave Superconductors”, Chaos Solitons Fractals, vol. 42, pp. 1980-1989, 2009.
• Z. Güven Özdemir, Ö. Aslan, and Ü. Onbaşlı, “Terahertz oscillations in mercury cuprate Superconductors”, Pramana-J. Phys., vol. 73, pp. 755-763, 2009.
• Z. Güven Özdemir, Ö. Aslan, and Ü. Onbaşlı, “Calculation of microwave Superconductors”, in: The 7th International Conference on Vibration Problems (ICOVP 2005) Springer Proceedings in Physics 111, E. İnan, E. Kırış (Eds.), Dordrecht, The Netherlands: Springer, 2007, pp. 377-382. in high temperature
• Z. Güven Özdemir, Ö. Aslan, and Ü. Onbaşlı, “Determination of c- axis electrodynamics parameters of mercury cuprates”, J. Phys. Chem. Solids, vo. 67, pp. 453-456, 2006.
• P.W. Anderson, “c-Axis electrodynamics as evidence for the interlayer theory of high-temperature superconductivity”, Science, vol. 279, pp. 1196-1198, 1998.
• W.E. Lawrence and S. Doniach, “Theory of layered structure superconductors”, in: Proceedings of the 12th International Conference on Low Temperature Physics, E. Kanda (Ed.), Kyoto: Kanda Academic Press of Japan, 1971, pp. 361-362.
• M.D. Semon and J.R. Taylor, “Thoughts on the magnetic vector potential”, Am. J. Phys., vol. 164, pp. 1361-1369, 1996.