Abstract
Copper oxides become superconductors rapidly upon do** with electron holes, suggesting a fundamental pairing instability. The Cooper mechanism explains normal superconductivity as an instability of a fermi-liquid state, but high-temperature superconductors derive from a Mott-insulator normal state, not a fermi liquid. We show that precocity to pair condensation with do** is a natural property of competing antiferromagnetism and d-wave superconductivity on a singly-occupied lattice, thus generalizing the Cooper instability to doped Mott insulators, with significant implications for the high-temperature superconducting mechanism.
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References
D. A. Bonn, Nature Phys., 2006, 2: 159, and references therein
T. Timusk and B. Statt, Rep. Prog. Phys., 1999, 62: 61
M. Norman, D. Pines, and C. Kollin, Adv. Phys., 2005, 54: 715
J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev., 1957, 108: 1175
L. N. Cooper, Phys. Rev., 1956, 104: 1189
R. B. Laughlin, ar**v: cond-mat/0209269, 2002
F. C. Zhang, Phys. Rev. Lett., 2003, 90: 207002
P. Coleman, Nature, 2003, 424: 625
P. W. Anderson, Science, 1987, 235: 1196
D. Vaknin, S. K. Sinha, D. E. Moncton, D. C. Johnston, J. M. Newsam, C. R. Safinya, and H. E. King Jr., Phys. Rev. Lett., 1987, 58: 2802
J. M. Tranquada, D. E. Cox, W. Kunnmann, H. Moudden, G. Shirane, M. Suenaga, P. Zolliker, D. Vaknin, S. K. Sinha, M. S. Alvarez, A. J. Jacobson, and D. C. Johnston, Phys. Rev. Lett., 1988, 60: 156
S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. Lett., 1988, 60: 1057
J. D. Reger and A. P. Young, Phys. Rev. B, 1988, 37: 5978
E. Dagotto, Rev. Mod. Phys., 1994, 66: 763
M. W. Guidry, Rev. Mex. de Fisica, 1999, 45 Suplemento 2: 132
M. W. Guidry, L. A. Wu, Y. Sun, and C. L. Wu, Phys. Rev. B, 2001, 63: 134516
L. A. Wu, M. W. Guidry, Y. Sun, and C. L. Wu, Phys. Rev. B, 2003, 67: 014515
M. W. Guidry, Y. Sun, and C. L. Wu, Phys. Rev. B, 2004, 70: 184501
Y. Sun, M. W. Guidry, and C. L. Wu, Phys. Rev. B, 2006, 73: 134519
Y. Sun, M. W. Guidry, and C. L. Wu, Phys. Rev. B, 2007, 75: 134511
M. W. Guidry, Y. Sun, and C. L. Wu, New J. Phys., 2009, 11: 123023
W. M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys., 1990, 62: 867
P. W. Anderson, Physics Today, 1997, October: 42
Y. Kamihara, T. Watanabe, M. Hirano, and H. Hosono, J. Am. Chem. Soc., 2008, 130: 3296
Z. A. Ren, W. Lu, J. Yang, W. Yi, X. L. Shen, Z. C. Li, G. C. Che, X. L. Dong, L. L. Sun, F. Zhou, and Z. X. Zhao, Chin. Phys. Lett., 2008, 25: 2215
C. de la Cruz, Q. Huang, J. W. Lynn, J. Li, W. Ratcliff II, J. L. Zarestky, H. A. Mook, G. F. Chen, J. L. Luo, N. L. Wang, and P. C. Dai, Nature (London), 2008, 453: 899
Y. Sun, M. Guidry, and C. L. Wu, Chin. Sci. Bull., 2008, 53: 1617
M. Guidry, Y. Sun, and C. L. Wu, Front. Phys. China, 2009, 4(4): 433
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Guidry, M., Sun, Y. & Wu, Cl. Generalizing the Cooper-pair instability to doped Mott insulators. Front. Phys. China 5, 171–175 (2010). https://doi.org/10.1007/s11467-010-0006-x
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DOI: https://doi.org/10.1007/s11467-010-0006-x