On the Ratio of the Energy Gap Amplitude to the Critical Temperature for Cuprates

• Authors: R. Szczęiśniak , A. Durajski
• Languages of publication: EN

Abstracts

EN

The model for the cuprates based on the modified electron-phonon pairing mechanism has been tested. For this purpose, the superconductors with high value of the critical temperature have been taken into consideration. In particular: YBa_{2}Cu_{3}O_{7-y}, HgBa_{2}CuO_{4+y}, HgBa_{2}Cu_{1-x}Zn_{x}O_{4+y}, and HgBa_{2}Ca_{2}Cu_{3}O_{8+y}. It has been shown that the dependence of the ratio R_{1} ≡ 2Δ_{tot}^{(0)}/k_{B}T_{C} on the doping (p) can be properly predicted in the framework of the presented theory; the symbol Δ_{tot}^{(0)} denotes the energy gap amplitude at the temperature of zero kelvin, and T_{C} is the critical temperature. The numerical results have been supplemented by the formula which describes the function R_{1}(p).

Keywords

EN

74.20.-z; 74.20.Fg; 74.20.Mn; 74.25.Bt; 74.72.-h; 74.72.Bk; 74.72.Jt

Discipline

• 74.72.-h: Cuprate superconductors
• 74.20.Fg: BCS theory and its development
• 74.20.-z: Theories and models of superconducting state
• 74.20.Mn: Nonconventional mechanisms
• 74.25.Bt: Thermodynamic properties

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 4a
• Pages: A-92-A-96

Dates

published

2014-10

Contributors

author

R. Szczęiśniak

• Institute of Physics, Częstochowa University of Technology, al. Armii Krajowej 19, 42-200 Częstochowa, Poland

author

A. Durajski

• Institute of Physics, Częstochowa University of Technology, al. Armii Krajowej 19, 42-200 Częstochowa, Poland

References

• [1] J.G. Bednorz, K.A. Müller, Z. Phys. B 64, 189 (1986), doi: 10.1007/BF01303701
• [2] H. Fröhlich, Phys. Rev. 79, 845 (1950), doi: 10.1103/PhysRev.79.845
• [3] J. Hubbard, Proc. R. Soc. London Ser. A 276, 238 (1963), doi: 10.1098/rspa.1963.0204
• [4] J.P. Hauge, AIP Conf. Proc. 846, 255 (2006), doi: 10.1063/1.2222274
• [5] D.J. Scalapino, S.R. White, S.C. Zhang, Phys. Rev. Lett. 68, 2830 (1992), doi: 10.1103/PhysRevLett.68.2830
• [6] R. Szczęśniak, M. Mierzejewski, J. Zieliński, P. Entel, Solid State Commun. 117, 369 (2001), doi: 10.1016/S0038-1098(00)00477-4
• [7] R. Szczęśniak, Solid State Commun. 138, 347 (2006), doi: 10.1016/j.ssc.2006.03.012
• [8] R. Szczęśniak, PloS ONE 7, e31873 (2012), doi: 10.1371/journal.pone.0031873
• [9] R. Szczęśniak, arXiv:1105.5525 (2011)
• [10] R. Szczęśniak, arXiv:1110.3404 (2012)
• [11] J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 106, 162 (1957), doi: 10.1103/PhysRev.106.162
• [12] J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957), doi: 10.1103/PhysRev.108.1175
• [13] V.V. Kabanov, J. Demsar, B. Podobnik, D. Mihailovic, Phys. Rev. B 59, 1497 (1999), doi: 10.1103/PhysRevB.59.1497
• [14] R. Daou, J. Chang, D. LeBoeuf, O. Cyr-Choiniere, F. Laliberte, N. Doiron-Leyraud, B.J. Ramshaw, R. Liang, D.A. Bonn, W.N. Hardy, L. Taillefer, Nature 463, 519 (2010), doi: 10.1038/nature08716
• [15] A.L. Solovév, S.L. Sidorov, V.Y. Tarenkov, A.I. Dýachenko, Low Temp. Phys. 35, 826 (2009), doi: 10.1063/1.3253409
• [16] M.A. Obolenskii, R.V. Vovk, A.V. Bondarenko, N.N. Chebotaev, Low Temp. Phys. 32, 571 (2006), doi: 10.1063/1.2215373
• [17] D. Prokofév, M. Volkov, Y. Boikov, Phys. Solid State 45, 1223 (2003), doi: 10.1134/1.1594234
• [18] T. Timusk, B. Statt, Rep. Prog. Phys. 62, 61 (1999), doi: 10.1088/0034-4885/62/1/002
• [19] I. Chaban, Phys. Solid State 50, 803 (2008), doi: 10.1134/S1063783408050016
• [20] B. Vignolle, B.J. Ramshaw, J. Day, D. LeBoeuf, S. Lepault, R. Liang, W.N. Hardy, D.A. Bonn, L. Taillefer, C. Proust, Phys. Rev. B 85, 224524 (2012), doi: 10.1103/PhysRevB.85.224524
• [21] J.-Y. Lin, P.R. Lee, Y.T. Liu, Ch.-Y. Mou, Y.-J. Chen, K.H. Wu, C.W. Luo, J.Y. Juang, T.M. Uen, J.M. Lee, J.M. Chen, arXiv:1009.2560v2 (2010)
• [22] J.P. Rice, J. Giapintzakis, D.M. Ginsberg, J.M. Mochel, Phys. Rev. B 44, 10158 (1991), doi: 10.1103/PhysRevB.44.10158
• [23] M. Sutherland, D.G. Hawthorn, R.W. Hill, F. Ronning, S. Wakimoto, H. Zhang, C. Proust, E. Boaknin, C. Lupien, L. Taillefer, R. Liang, D.A. Bonn, W.N. Hardy, R. Gagnon, N.E. Hussey, T. Kimura, M. Nohara, H. Takagi, Phys. Rev. B 67, 174520 (2003), doi: 10.1103/PhysRevB.67.174520
• [24] K. Nakayama, T. Sato, K. Terashima, T. Arakane, T. Takahashi, M. Kubota, K. Ono, T. Nishizaki, Y. Takahashi, N. Kobayashi, Phys. Rev. B 79, 140503(R) (2009), doi: 10.1103/PhysRevB.79.140503
• [25] A. Kaminski, S. Rosenkranz, H.M. Fretwell, J. Mesot, M. Randeria, J.C. Campuzano, M.R. Norman, Z.Z. Li, H. Raffy, T. Sato, T. Takahashi, K. Kadowaki, Phys. Rev. B 69, 212509 (2004), doi: 10.1103/PhysRevB.69.212509
• [26] M. Plate, J.D.F. Mottershead, I.S. Elfimov, D.C. Peets, R. Liang, D.A. Bonn, W.N. Hardy, S. Chiuzbaian, M. Falub, M. Shi, L. Patthey, A. Damascelli, Phys. Rev. Lett. 95, 077001 (2005), doi: 10.1103/PhysRevLett.95.077001
• [27] D.K. Morr, D. Pines, Phys. Rev. Lett. 81, 1086 (1998), doi: 10.1103/PhysRevLett.81.1086
• [28] H.F. Fong, B. Keimer, D.L. Milius, I.A. Aksay, Phys. Rev. Lett. 78, 713 (1997), doi: 10.1103/PhysRevLett.78.713
• [29] N.-C. Yeh, C.-T. Chen, G. Hammerl, J. Mannhart, A. Schmehl, C.W. Schneider, R.R. Schulz, S. Tajima, K. Yoshida, D. Garrigus, M. Strasik, Phys. Rev. Lett. 87, 087003 (2001), doi: 10.1103/PhysRevLett.87.087003
• [30] V. Born, C. Jooss, H.C. Freyhardt, Physica C 382, 224 (2002), doi: 10.1016/S0921-4534(02)01140-1
• [31] H. Murakami, H. Asaoka, K. Sakai, T. Ito, M. Tonouchi, Appl. Surf. Sci. 175-176, 306 (2001), doi: 10.1016/S0169-4332(01)00047-2
• [32] H.L. Edwards, J.T. Markert, A.L. de Lozanne, Phys. Rev. Lett. 69, 2967 (1992), doi: 10.1103/PhysRevLett.69.2967
• [33] H.L. Edwards, D.J. Derro, A.L. Barr, J.T. Markert, A.L. de Lozanne, Phys. Rev. Lett. 75, 1387 (1995), doi: 10.1103/PhysRevLett.75.1387
• [34] J.S. Tsai, I. Takeuchi, J. Fujita, S. Miura, T. Terashima, Y. Bando, K. Iijima, K. Yamamoto, Physica C 157, 537 (1989), doi: 10.1016/0921-4534(89)90283-9
• [35] J.R. Schrieffer, J.S. Brooks, Handbook of High-Temperature Superconductivity. Theory and Experiment, Springer, Berlin 2007
• [36] I. Maggio-Aprile, Ch. Renner, A. Erb, E. Walker, Ø. Fischer, Phys. Rev. Lett. 75, 2754 (1995), doi: 10.1103/PhysRevLett.75.2754
• [37] I. Maggio-Aprile, Ch. Rennet, A. Erb, E. Walker, Ø. Fischer, Nature 390, 487 (1997), doi: 10.1038/37312
• [38] H. Koinuma, S. Gonda, J.P. Gong, M. Kawasaki, M. Yoshimoto, M. Nantoh, T. Hasegawa, K. Kitazawa, J. Phys. Chem. Solids 54, 1215 (1993), doi: 10.1016/0022-3697(93)90170-V
• [39] M. Koyanagi, S. Kashiwaya, M. Matsuda, H. Takashima, K. Kajimura, Jpn. J. Appl. Phys. 34, 89 (1995), doi: 10.1143/JJAP.34.89
• [40] M. Kugler, Ch. Renner, Ø. Fischer, V. Mikheev, G. Batey, Rev. Sci. Instrum. 71, 1475 (2000), doi: 10.1063/1.1150483
• [41] M. Nantoh, T. Hasegawa, M. Kawasaki, J.P. Gong, K. Fujito, A. Takagi, W. Yamaguchi, M. Ogino, H. Koinuma, K. Kitazawa, J. Supercond. 7, 349 (1994), doi: 10.1007/BF00724567
• [42] M. Nantoh, M. Kawasaki, T. Hasegawa, K. Fujito, W. Yamaguchi, H. Koinuma, K. Kitazawa, Physica C 242, 277 (1995), doi: 10.1016/0921-4534(94)02412-X
• [43] K. Shibata, M. Maki, T. Nishizaki, N. Kobayashi, Physica C 388-389, 277 (2003), doi: 10.1016/S0921-4534(02)02436-X
• [44] S. Ueno, S. Kashiwaya, N. Terada, A. Sawa, N. Matsubara, M. Koyanagi, Y. Tanaka, Y. Tanuma, K. Obara, K. Takita, Physica C 357-360, 1576 (2001), doi: 10.1016/S0921-4534(01)00554-8
• [45] S. Ueno, S. Kashiwaya, N. Terada, Y. Tanaka, Y. Tanuma, M. Koyanagi, K. Obara, Physica C 388-389, 301 (2003), doi: 10.1016/S0921-4534(02)02455-3
• [46] J.R. Kirtley, R.T. Collins, Z. Schlesinger, W.J. Gallagher, R.L. Sandstrom, T.R. Dinger, D.A. Chance, Phys. Rev. B 35, 8846 (1987), doi: 10.1103/PhysRevB.35.8846
• [47] H.F.C. Hoevers, P.J.M. Van Bentum, L.E.C. Van De Leemput, H. Van Kempen, A.J.G. Schellingerhout, D. Van Der Marel, Physica C 152, 105 (1988), doi: 10.1016/0921-4534(88)90078-0
• [48] S. Tanaka, E. Ueda, M. Sato, Physica C 224, 126 (1994), doi: 10.1016/0921-4534(94)90614-9
• [49] A. Yamamoto, W.Z. Hu, S. Tajima, Phys. Rev. B 63, 024504 (2000), doi: 10.1103/PhysRevB.63.024504
• [50] B. Bandyopadhyay, A. Poddar, J. Alloys Comp. 326, 137 (2001), doi: 10.1016/S0925-8388(01)01252-X
• [51] A. Yamamoto, K. Minami, W.-Z. Hu, A. Miyakita, M. Izumi, S. Tajima, Phys. Rev. B 65, 104505 (2002), doi: 10.1103/PhysRevB.65.104505
• [52] T. Honma, P.H. Hor, H.H. Hsieh, M. Tanimoto, Phys. Rev. B 70, 214517 (2004), doi: 10.1103/PhysRevB.70.214517
• [53] J.Y.T. Wei, C.C. Tsuei, P.J.M. van Bentum, Q. Xiong, C.W. Chu, M.K. Wu, Phys. Rev. B 57, 3650 (1998), doi: 10.1103/PhysRevB.57.3650
• [54] T. Hasegawa, H. Ikutaand, K. Kitazawa, Physical Properties of High Temperature Superconductors III, World Sci., 1992
• [55] J. Yang, J. Hwang, E. Schachinger, J.P. Carbotte, R.P.S.M. Lobo, D. Colson, A. Forget, T. Timusk, Phys. Rev. Lett. 102, 027003 (2009), doi: 10.1103/PhysRevLett.102.027003
• [56] W. Guyard, A. Sacuto, M. Cazayous, Y. Gallais, M. Le Tacon, D. Colson, A. Forget, Phys. Rev. Lett. 101, 097003 (2008), doi: 10.1103/PhysRevLett.101.097003
• [57] D.S. Inosov, J.T. Park, A. Charnukha, Y. Li, A.V. Boris, B. Keimer, V. Hinkov, Phys. Rev. B 83, 214520 (2011), doi: 10.1103/PhysRevB.83.214520
• [58] S. Liu, G. Wu, X. Xu, H. Shao, J. Supercond. 17, 253 (2004), doi: 10.1023/B:JOSC.0000021222.98993.86
• [59] C.C. Lam, A. Vyas, Int. J. Mod. Phys. B 15, 2285 (2001), doi: 10.1142/S0217979201006598
• [60] G.T. Jeong, J.I. Kye, S.H. Chun, S. Lee, S.I. Lee, Z.G. Khim, Phys. Rev. B 49, 15416 (1994), doi: 10.1103/PhysRevB.49.15416
• [61] C. Rossel, R.R. Schulz, A. Schilling, H.R. Ott, J. Karpinski, Physica C 235-240, 1871 (1994), doi: 10.1016/0921-4534(94)92157-1
• [62] R. Liang, D.A. Bonn, W.N. Hardy, Phys. Rev. B 73, 180505(R) (2006), doi: 10.1103/PhysRevB.73.180505
• [63] M.R. Presland, J.L. Tallon, R.G. Buckley, R.S. Liu, N.E. Flower, Physica C 176, 95 (1991), doi: 10.1016/0921-4534(91)90700-9
• [64] H. Won, K. Maki, Phys. Rev. B 49, 1397 (1994), doi: 10.1103/PhysRevB.49.1397
• [65] H.G. Luo, Y.H. Su, T. Xiang, Phys. Rev. B 77, 014529 (2008), doi: 10.1103/PhysRevB.77.014529
• [66] C.W. Chu, L. Gao, F. Chen, Z.J. Huang, R.L. Meng, Y.Y. Xue, Nature 365, 323 (1993), doi: 10.1038/365323a0

Identifiers

DOI

10.12693/APhysPolA.126.A-92