Abstract
An extended ASYNNNI model, that beside nearest-neighbour and next-nearest neighbour O-O interactions in the basal plane also includes interactions between the three nearest oxygen atoms, is used to describe the statistics of CuO chain fragmentation and to calculate doping and T c in YBa2Cu3O6+x . Calculations were made by the Monte Carlo method employing the recently proposed charge transfer model that assumes only chains whose length is equal to, or exceeds, a characteristic (critical) length, l cr, can provide holes to the layers and contribute to doping p. The obtained p(x) is then combined with a universal T c versus p relation to yield T c(x) characteristics that correlate remarkably with those reported in recent experiments. The best coordination between theoretical and experimental T c(x) characteristics has been achieved for l cr = 2, implying that only isolated basal plane oxygen atoms (trivial chains) do not contribute holes to CuO2 layers.
[1] B.W. Veal et al., Phys. Rev. B 42, 6305 (1990) http://dx.doi.org/10.1103/PhysRevB.42.630510.1103/PhysRevB.42.6305Search in Google Scholar
[2] J. Zaanen, A.T. Paxton, O. Jepsen, O.K. Andersen, Phys. Rev. Lett. 60, 2685 (1988) http://dx.doi.org/10.1103/PhysRevLett.60.268510.1103/PhysRevLett.60.2685Search in Google Scholar
[3] H. Rushan, G. Zizhao, Y. Daole, L. Qing, Phys. Rev. B 41, 6683 (1990) http://dx.doi.org/10.1103/PhysRevB.41.668310.1103/PhysRevB.41.6683Search in Google Scholar
[4] K. Widder et al., Physica C 300, 115 (1998) http://dx.doi.org/10.1016/S0921-4534(98)00117-810.1016/S0921-4534(98)00117-8Search in Google Scholar
[5] F. Yakhou, Physica C 333, 146 (2000) http://dx.doi.org/10.1016/S0921-4534(00)00184-210.1016/S0921-4534(00)00184-2Search in Google Scholar
[6] T.A. Zaleski, T.K. Kopec, Phys. Rev. B 74, 014504 (2006) http://dx.doi.org/10.1103/PhysRevB.74.01450410.1103/PhysRevB.74.014504Search in Google Scholar
[7] J.D. Jorgensen et al., Phys. Rev. B 41, 1863 (1990) http://dx.doi.org/10.1103/PhysRevB.41.186310.1103/PhysRevB.41.1863Search in Google Scholar
[8] P. Manca et al., Phys. Rev. B 63, 134512 (2001) http://dx.doi.org/10.1103/PhysRevB.63.13451210.1103/PhysRevB.63.134512Search in Google Scholar
[9] R. Liang, D.A. Bonn, W.N. Hardy, Phys. Rev. B 73, 180505(R) (2006) 10.1103/PhysRevB.73.180505Search in Google Scholar
[10] B. Fisher et al., Phys. Rev. B 47, 6054 (1993) http://dx.doi.org/10.1103/PhysRevB.47.605410.1103/PhysRevB.47.6054Search in Google Scholar
[11] K. Segawa, Y. Ando, Phys. Rev. Lett. 86, 4907 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.490710.1103/PhysRevLett.86.4907Search in Google Scholar
[12] S. Sanna, G. Allodi, G. Concas, R. De Renzi, Solid State Commun. 126, 85 (2003) http://dx.doi.org/10.1016/S0038-1098(02)00664-610.1016/S0038-1098(02)00664-6Search in Google Scholar
[13] Y.S. Lee, K. Segawa, Y. Ando, D.N. Basov, Phys. Rev. Lett. 94, 137004 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.13700410.1103/PhysRevLett.94.137004Search in Google Scholar
[14] A.N. Lavrov, Physica C 216, 36 (1993) http://dx.doi.org/10.1016/0921-4534(93)90631-Y10.1016/0921-4534(93)90631-YSearch in Google Scholar
[15] K. Segawa, Y. Ando, J. Low Temp. Phys. 131, 822 (2003) http://dx.doi.org/10.1023/A:102342702660010.1023/A:1023427026600Search in Google Scholar
[16] H. Poulsen, N.H. Anderson, J.V. Andersen, H. Bohr, O.G. Mouritsen, Nature 349, 594 (1991) http://dx.doi.org/10.1038/349594a010.1038/349594a0Search in Google Scholar
[17] C. Buzea, T. Yamashita, Physica C 357–360, 288 (2001) http://dx.doi.org/10.1016/S0921-4534(01)00254-410.1016/S0921-4534(01)00254-4Search in Google Scholar
[18] H. Shaked et al., Phys. Rev. B 51, 547 (1995) http://dx.doi.org/10.1103/PhysRevB.51.54710.1103/PhysRevB.51.547Search in Google Scholar
[19] G. Uimin, J. Rossat-Mignod, Physica C 199, 251 (1992) http://dx.doi.org/10.1016/0921-4534(92)90408-510.1016/0921-4534(92)90408-5Search in Google Scholar
[20] G.V. Uimin et al., Physica C 192, 481 (1992) http://dx.doi.org/10.1016/0921-4534(92)90857-910.1016/0921-4534(92)90857-9Search in Google Scholar
[21] R. McCormack, D. de Fontaine, G. Ceder, Phys. Rev. B 45, 12976 (1992) http://dx.doi.org/10.1103/PhysRevB.45.1297610.1103/PhysRevB.45.12976Search in Google Scholar
[22] G. Ceder, M. Asta, D. de Fontaine, Physica C 177, 106 (1991) http://dx.doi.org/10.1016/0921-4534(91)90305-I10.1016/0921-4534(91)90305-ISearch in Google Scholar
[23] V.M. Matic, M. Milic, N.Dj. Lazarov, Physica C 339, 27 (2000) http://dx.doi.org/10.1016/S0921-4534(00)00328-210.1016/S0921-4534(00)00328-2Search in Google Scholar
[24] V.M. Matic, M. Milic, N.Dj. Lazarov, Physica C 422, 1 (2005) http://dx.doi.org/10.1016/j.physc.2005.02.01010.1016/j.physc.2005.02.010Search in Google Scholar
[25] M. Milic, PhD thesis, Belgrade University (Belgrade, Serbia, 2008) Search in Google Scholar
[26] V.M. Matic, N.Dj. Lazarov, J. Phys.-Condens. Mat. 19, 346230 (2007) http://dx.doi.org/10.1088/0953-8984/19/34/34623010.1088/0953-8984/19/34/346230Search in Google Scholar
[27] V.M. Matic, N.Dj. Lazarov, Solid State Commun. 142, 165 (2007) http://dx.doi.org/10.1016/j.ssc.2007.01.04110.1016/j.ssc.2007.01.041Search in Google Scholar
[28] V.M. Matic, N.Dj. Lazarov, I.M. Bradaric, Supercond. Sci. Tech. 21, 075012 (2008) http://dx.doi.org/10.1088/0953-2048/21/7/07501210.1088/0953-2048/21/7/075012Search in Google Scholar
[29] J.L. Tallon, C. Bernhard, H. Shaked, R.L. Hitterman, J.D. Jorgensen, Phys. Rev. B 51, 12911 (1995) http://dx.doi.org/10.1103/PhysRevB.51.1291110.1103/PhysRevB.51.12911Search in Google Scholar
[30] H. Haugerud, G. Uimin, W. Selke, Physica C 275, 93 (1997) http://dx.doi.org/10.1016/S0921-4534(97)00002-610.1016/S0921-4534(97)00002-6Search in Google Scholar
[31] P. Gawiec, D.R. Grempel, A.-C. Riiser, H. Haugerud, G. Uimin, Phys. Rev. B 53, 5872 (1996) http://dx.doi.org/10.1103/PhysRevB.53.587210.1103/PhysRevB.53.5872Search in Google Scholar
[32] P. Gawiec, D.R. Grempel, G. Uimin, J. Zittartz, Phys. Rev. B 53, 5880 (1996) http://dx.doi.org/10.1103/PhysRevB.53.588010.1103/PhysRevB.53.5880Search in Google Scholar
[33] G. Uimin, Phys. Rev. B 50, 9531 (1994) http://dx.doi.org/10.1103/PhysRevB.50.953110.1103/PhysRevB.50.9531Search in Google Scholar
[34] H. Lutgemeier et al., Physica C 267, 191 (1996) http://dx.doi.org/10.1016/0921-4534(96)00380-210.1016/0921-4534(96)00380-2Search in Google Scholar
[35] P.A. Sterne, L.T. Wille, Physica C 162–164, 223 (1989) http://dx.doi.org/10.1016/0921-4534(89)90998-210.1016/0921-4534(89)90998-2Search in Google Scholar
[36] V.M. Matic, N.Dj. Lazarov, Physica C 443, 49 (2006) http://dx.doi.org/10.1016/j.physc.2006.04.09410.1016/j.physc.2006.04.094Search in Google Scholar
© 2010 Versita Warsaw
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
