Superconducting Critical Temperature of Homologous Series of High-T_c Cuprates as a Function of Number of Layers

• Authors: T. Zaleski , T. Kopeć
• Languages of publication: EN

Abstracts

EN

We have considered a model of n-layer high-temperature cuprates of homologous series like HgBa_2Ca_{n-1}Cu_nO_{2+2n+δ} to determine the dependence of the critical temperature T_c(n) on the number n of Cu-O planes in an elementary cell. Focusing on the description of the high-temperature superconducting system in terms of the collective phase variables, we have studied a semi-microscopic anisotropic three-dimensional vector XY model of stacked copper-oxide layers with adjustable parameters representing microscopic in-plane and out-of-plane phase stiffnesses. The model captures the layered composition and block structure along c-axis of superconducting homologous series. Implementing the spherical closure relation we have solved the phase XY model exactly with the help of transfer matrix method for vector variables. The calculated dependence of the critical temperature T_c(n) on the block size n is monotonic with n.

Keywords

EN

74.20.-z; 74.72.-h; 74.50.+r

Discipline

• 74.72.-h: Cuprate superconductors
• 74.50.+r: Tunneling phenomena; Josephson effects(for SQUIDs, see 85.25.Dq; for Josephson devices, see 85.25.Cp; for Josephson junction arrays, see 74.81.Fa)
• 74.20.-z: Theories and models of superconducting state

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2004
• Volume: 106
• Issue: 5
• Pages: 561-567

Dates

published

2004-11

received

2004-06-06

Contributors

author

T. Zaleski

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław, Poland

author

T. Kopeć

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław, Poland

References

• 1. I.G. Kuzemskaya, A.L. Kuzemsky, A.A. Cheglokov, J. Low Temp. Phys., 118, 147, 2000
• 2. B.A. Scott, E.Y. Suard, C.C. Tsuei, D.B. Mitzi, T.R. McGuire, B.-H. Chen, D. Walker, Physica C, 230, 239, 1994
• 3. J.M. Wheatley, T.C. Hsu, P.W. Anderson, Phys. Rev. B, 37, 5897, 1988
• 4. A.J. Leggett, Phys. Rev. Lett., 83, 392, 1999; Phys. Rev. Lett., 85, 3984, 2000; S. Chakravarty, Eur. Phys. J. B, 5, 337, 1998
• 5. E.S. Itskevich, E.V. Zhasinas, Physica C, 295, 193, 1998
• 6. J.-H. Choy, S.-J. Kwon, G.-S. Park, Science, 280, 1589, 1998
• 7. X.-D. Xiang, S. McKernan, W.A. Vareka, A. Zettl, J.L. Corkill, T.W. Barbee III, M.L. Cohen, Nature (London), 348, 145, 1990
• 8. V.J. Emery, S.A. Kivelson, Nature, 374, 434, 1995
• 9. J. Corson, R. Mallozzi, J. Orenstein, J.N. Eckstein, I. Bozovic, Nature, 398, 221, 1999
• 10. S. Chakravarty, H.-Y. Kee, K. Volker, Nature, 428, 53, 2004
• 11. T.H. Berlin, M. Kac, Phys. Rev., 86, 821, 52; H.E. Stanley, ibid., 176, 718, 68; G.S. Joyce, Phys. Rev., 146, 349, 66; G.S. Joyce, in: Phase Transitions and Critical Phenomena, Vol. 2, Eds. C. Domb, M.S. Green, Academic, New York 1972, p. 375
• 12. P.S. English, D.L. Hunter, C. Domb, J. Phys. A, 12, 2111, 79; H.E. Stanley, J. App. Phys., 40, 1272, 69; H.E. Stanley, Phys. Rev., 176, 718, 1968
• 13. S. Fishman, T.A.L. Ziman, Phys. Rev. B, 26, 1258, 1982
• 14. E.W. Carlson, S.A. Kivelson, V.J. Emery, E. Manousakis, Phys. Rev. Lett., 83, 612, 1999
• 15. K. Binder, Phys. Rev. Lett., 47, 693, 1981

Identifiers

DOI

10.12693/APhysPolA.106.561