Hole-Pair Formation in Cuprate Superconductors despite Antiferromagnetic Fluctuations


We have earlier proposed models of preformed hole pairs based on the results of our electron paramagnetic resonance experiments. A hole doped in a cuprate superconductor causes ferromagnetic alignment of the spins of the holes of 4 Cu2+ ions of the plaquette (CuO)4 in which it enters. Spin alignments undergo oscillations from vertically upward to vertically downward of the CuO2 plane. Vertical projections of spins go on changing when they pass through different plaquettes going to zero when they pass through the CuO2 plane. Ferromagnetic alignments of spins produce magnetic fields on the plane proportional to their vertical projections. When two holes travelling in CuO2 plane come across each other at a certain distance between them, they are attracted towards each other by Heisenberg exchange interaction and their path is decided by the magnetic field produced due to spin alignments. Their path is similar to 3dx2 - y2 atomic orbital. Y-123 has been chosen as an example. Due to plethora of evidence of antiferromagnetic fluctuations in cuprates, hole-pair formation has been tried in Y-123 assuming antiferromagnetic fluctuations in it. It has been found that hole-pair formation in spite of AFM fluctuations can be explained on the same lines as done earlier. Hole-pair formation was tried in Tl-2201 to test whether the same rules apply in cuprates with very high coherence lengths. Coherence length in Tl-2201 = 52 Å, whereas in Y-123 = 15 20 Å in CuO2 plane. It has been reported that in Tl-2201 the CuO2 plane is very flat and smooth. From this it was concluded that high coherence length is the result of the smoothness of the plane. Further it was concluded that the smoothness of the CuO2 plane depends upon the nature of the near neighbors of the CuO2 plane. Near neighbors of Y-123 and Tl-2201 have been compared.

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Singh, R. and Khan, S. (2014) Hole-Pair Formation in Cuprate Superconductors despite Antiferromagnetic Fluctuations. World Journal of Condensed Matter Physics, 4, 141-152. doi: 10.4236/wjcmp.2014.43019.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Dai, P.C., Mook, H.A., Aeppli, G., Hayden, S.M. and Dogan, F. (2000) Resonance as a Measure of Pairing Correlations in High Tc Superconductor YBa2Cu3 O6.6. Nature, 406, 965-968.
[2] Stankowski, J., Krupski, M. and Roman, M. (2004) Remarks on the Phase Diagram of High Temperature Superconductors. Materials Science-Poland, 22, 175.
[3] Singh, R.J. (2009) Preformed Hole-Pairs in Cuprate Superconductors. International Journal of Modern Physics B, 231, 53-76.
[4] Singh, R.J. (2011) Model of Preformed Hole-Pairs in Cuprate Superconductors. Journal of Modern Physics, 2, 885897.
[5] Singh, R.J. (2012) Model of Preformed Hole-Pairs in c-Axis Transport in Cuprate Superconductors. World Journal of Condensed Matter Physics, 2, 228-236.
[6] Punnoose, A., Maurya, B.P., Jilson, M., Umar, M., Haque, M.I. and Singh, R.J. (1993) EPR Observation of Cu2+-Cu2+ Pairs in Cupric Oxide Powder. Solid State Communications, 88, 195-198.
[7] Singh, R.J., Alex, P., Mathew, J., Maurya, B.P. and Khan, S. (1994) S = 1 and S = 2 EPR Signals in Modified CuO and BaCuO2. Physical Review B, 49, 1346.
[8] Singh, R.J., Ikram, M., Singh, A., Punnoose, A., Maurya, B.P. and Shakeel, K. (1995) Copper Tetramers in High Temperature Superconductors. Physics Letters A, 208, 369-374.
[9] Punnoose, A. and Singh, R.J. (1995) EPR Studies of High Tc Superconductors and Related Systems. International Journal of Modern Physics B, 9, 1123.
[10] Singh, R.J., Sharma, P.K., Singh, A. and Shakeel, K. (2001) EPR Spectra of Deoxygenated High Temperature Superconductors. Physica C, 356, 285-296.
[11] Khan, S., Mohd, I., Arti, S. and Singh, R.J. (1997) EPR Study of Deoxygenated La2CuO4. Physica C, 281, 143-148.
[12] Shakeel, K., Arti, S. and Singh, R.J. (1998) EPR Study of La2?xMxCuO4 (M = Sr, Ba). Solid State Communications, 106, 621-626.
[13] Shakeel, K., Arti, S. and Singh, R.J. (1999) EPR Study of La1.854Sr0.146CuO4. Physica C: Superconductivity, 325, 165172.
[14] Meng, Q.B., Wu, Z.J. and Zhang, S.Y. (1998) Evaluation of the Energy Barrier Distribution in Many Particle Systems Using the Path Integral Approach. Journal of Physics: Condensed Matter, 10, L89.
[15] Rossat-Mignod, J., Regnault, L.P., Veltier, C., Bourges, P., Burtlet, P., Bossy, J., Henry, J.Y. and Caperlot, G. (1991) Neutron Scattering Study of YBa2Cu3O6+x System. Physica C, 185-189, 86-92.
[16] Yu, G., Li, Y., Zhao, X., Bari?i?, N., Cho, Y., Bourges, P., Hradil, K., Mole, R.A. and Greven, M. (2010) Magnetic Resonance in the Model High-Temperature Superconductor HgBa2CuO4+δ. Physical Review B, 81, Article No: 064518.
[17] Pailhès, S., Ulrich, C., Faque, B., Hinkov, V., Sidis, Y., Ivanov, A., Lin, C.T., Keimerand, B. and Bourges, P. (2006) Doping Dependence of Bilayer Resonant Spin Excitations in (Y, Ca)Ba2Cu3O6+x. Physical Review Letters, 96, Article No: 257001.
[18] Fong, H.F., Bourges, P., Sidis, Y., Regnault, L.P., Ivanov, A., Gu, G.D., Koshizuka, N. and Keimer, B. (1999) Neutron Scattering from Magnetic Excitations in Bi2Sr2CaCu2O8+δ. Nature, 398, 588-591.
[19] Capogna, L., Faque, B., Sidis, Y., Ulrich, C., Bourges, P., Pailhes, S., Ivanov, A., Tallon, J.L., Liang, B., Lin, C.T., Rykov, A.I. and Keimer, B. (2007) Odd and Even Magnetic Resonance Modes in Highly Overdoped Bi2Sr2CaCu2O8+δ. Physical Review B, 75, Article No: 060502.
[20] He, H., Bourges, P., Sidis, Y., Ulrich, C., Regnault, L.P., Pailhes, S., Bazigirova, N.S. and Keimer, B. (2002) Magnetic Resonant Mode in the Single Layer High Temperature Superconductor Tl2Ba2CuO6+δ. Science, 295, 1045-1047.
[21] Bourges, P., Regnault, L.P., Sidis, Y. and Veltier, C. (1996) Inelastic-Neutron-Scattering Study of Antiferromagnetic Fluctuations in YBa2Cu3O6.97. Physical Review B, 53, 876.
[22] Batista, C.D., Ortiz, G. and Balasky, A.V. (2001) Unified Description of the Resonance Peak and Incommensuration in High-Tc Superconductors. Physical Review B, 64, Article No: 172508.
[23] Sato, N.K., Aso, N., Miyake, K., Shiima, R., Thalmer, P., Varelogiannis, G., Geibel, C., Steglich, F., Fulde, P. and Komatsubara, T. (2001) Strong Coupling between Local Moments and Superconducting “Heavy” Electrons in UPd2Al3. Nature, 410, 340-343.
[24] Stock, C., Broholm, C., Hudis, J., Kang, H.J. and Petrovic, C. (2008) Spin Resonance in the d-Wave Superconductor CeCoIn5. Physical Review Letters, 100, Article No: 087001.
[25] Christiansen, A.D., McMorrow, D.F., R?nnow, H.M., Lake, B., Heiden, S.M., Aeppli, G., Perring, T.G., Mangkorntong, M., Nohara, M. and Takagi, H. (2008) Dispersive Excitations in the High Temperature Superconductor La2?xSrxCuO4. Nature, 456, 930.
[26] Yu, G., Li, Y., Motoyama, E.M. and Greven, M. (2009) A Universal Relationship between Magnetic Resonance and Superconductivity Gap in Unconventional Superconductors. Nature Physics, 5, 873-875.
[27] McDonald, R.D., Harrison, N. and Singleton, J. (2009) Exact Mapping of the dx2–y2 Cooper-Pair Wavefunction onto the Spin Fluctuations of the Cuprate: The Fermi Surface as a Driver for “High Tc” Superconductivity. Journal of Physics: Condensed Matter, 21, Article No: 012201.
[28] Angela, K., Amit, G. and Sudip, C. (2007) Competing Ferromagnetism in High Temperature Copper Oxide Superconductors. Proceedings of the National Academy of Sciences of the United States of America, 104, 6123-6127.
[29] Sonier, J.E., Kaiser, C.V., Pacradoum, V., Sabok-Sayer, S.A., Cochrane, C., MacLaughlin, D.E., Komaya, S. and Hussey, N.E. (2010) Direct Search for a Ferromagnetic Phase in a Heavily Overdoped Nonsuperconducting Copper Oxide. Proceedings of the National Academy of Sciences of the United States of America, 107, 17131-17134.
[30] Kumar, N. and Jayannavar, A.M. (1992) Temperature Dependence of c-Axis Resistivity of High-Tc Layered Oxides. Physical Review B, 45, 5001.
[31] Chmaisen, O., Jorgensen, J.D., Short, S., Knizhnik, A., Eikstein, Y. and Shaked, H. (1999) Scaling of Transition Temperature and CuO2 Plane Buckling in High Temperature Superconductors. Nature, 397, 45-48.
[32] Keren, A. (2009) Evidence for Magnetic Mechanism for Cuprate Superconductivity. New Journal of Physics, 11, Article No: 065006.
[33] Bartels, D.M., Trifunac, A.D. and Lawler, R.G. (1988) Observation of Heisenberg Spin Exchange between Reactive Free Radicals. Chemical Physics Letters, 152, 109-115.

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