PHONONSIN HIGH TEMPERATURE SUPER CONDUCTOR

Authors

  • Hempal Singh B.D. Indu Department of Physics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand, India.

Keywords:

Abstract

The influence of Electron-phonon interaction, anharmonicities and point impurities phonon density of states (PDOS) of high temperature cuprate superconductors (HTS) has been investigatedbased on quantumdynamical many body problem using Double time thermodynamic Green's function theory via a non-BCS Hamiltonian as state of the art. The results thus obtained for phonon frequency widths and PDOS (resolved into diagonal and off diagonal contributions) are found to depend on temperature, impurity concentration etc.,has been applied to numerically estimate the DOS of representative HTS in (i) superconducting and (ii) normal regions. The automatic appearance of pairons emerges as a special feature of the present theory.

The influence of Electron-phonon interaction, anharmonicities and point impurities phonon density of states (PDOS) of high temperature cuprate superconductors (HTS) has been investigatedbased on quantumdynamical many body problem using Double time thermodynamic Green's function theory via a non-BCS Hamiltonian as state of the art. The results thus obtained for phonon frequency widths and PDOS (resolved into diagonal and off diagonal contributions) are found to depend on temperature, impurity concentration etc.,has been applied to numerically estimate the DOS of representative HTS in (i) superconducting and (ii) normal regions. The automatic appearance of pairons emerges as a special feature of the present theory.

References

(1) J. G. Bednorz and K. A. Muller, Z. Phys. B 64, 189 (1986).

(2) J. K. freericks, M. jarrell and G. D. Mahan, Phys. Rev. Lett. 77, 4588 (1996).

(3) P. W. Anderson, The Theory of Superconductivity in the High-Tc Cupartes, (Princeton University Press), Princeton NJ, 1997.

(4) G. D. Mahan and J. O. Sofo, Phys. Rev 47, 8050 (1993).

(5) D. M. Newns and C. C. Tsuei, Nature Phys. 3, 184 (2007).

(6) R. J. Elliot, Phonons in Perfect Lattice and Lattices with point Imperfections, edited by R. W. H. Stevenson, Oliver and Boyd, London, 1966.

(7) F. Marsiglio and J. P. Carbotte, The Physics of Conventional and Unconventional Superconductors,edited by K. H. Bennemann and J. B. Ketterson, Springer, Berlin Heidelberg, NewYork, 2004.

(8) H. Lehmann, Nuov. Ciment. 11, 342 (1954).

(9) P. H. Dederichs, New concepts in the physics of phonons, Poland: Putawy (1977).

(10) B. D. Indu, Mod. Phys. Lett. B 6 , 1665 (1992)and references therein.

(11) Vinod Ashokan, B. D. Indu and A. Kr. Dimri, AIP Advances 1 , Article ID:032101, DOI:10.1063/1.3610642, http://dx.doi.org/10.1063/1.3610642, (2011).

(12) Vinod Ashokan and B. D. Indu, AIP Advances 3, Article ID:022108, DOI:

1063/1.4791762, http://dx.doi.org/10.1063/1.4791762, (2013).

(13) M. Born and J. E. Mayer, Zeits. Fur Physik 75, 1 (1932)

(14) M. Born and K. Huang, Dynamical theory of crystal lattices, (Oxford University Press,New York, 1954).

(15) M.L. Huggins and J. E. Mayer, J. Chem. Phys. 1, 643 (1933).

(16) M.L. Huggins, J. Chem. Phys. 5, 143 (1937).

(17) J.W. Linnett, Trans. Faraday Soc.36,1123(1940), ibid , 38,1(1942).

(18) A.A. Abrahmson,Phys. Rev., 130,693(1963).

(19) W. Kress, U. Schroder, J. Prade, A. D. Kulkarni, and F.W.de Wette, J. Chem. Phys., 38,2461(1963).

(20)L. Dass. Prc. Roy. Soc A, 36, 31(1969).

(21) W. Kress, U. Schroder, J. Prade, A. D. Kulkarni, and F.W.de Wette, Phys.Rev. B, 38,2906(1988).

(22) S.L. Chaplot, Phys. Rev. B, 37,7435(1988); ibid , 42, 2149(1990).

(23) Hempal Singh, Anu Singh and B.D. Indu, Mod. Phys. Lett. B

(23) A. A. Maradudin and P. A. Flinn and R. A. Coldwell Horsefall, Ann. Phys. 15 , 337 (1961).

(24) A. A. Maradudin and R. F. Wallace, Phys. Rev. 120, 442 (1960).

(25) A. A. Maradudin and R. F. Wallace, Phys. Rev. 123, 777 (1961).

(26) A. A. Maradudin and R. F. Wallace, Phys. Rev. 125, 1277 (1962).

(27) K. N. Pathak, Phys. Rev. 139, 1569 (1965).

(28) K. N. Pathak and Y. P. Varshini, Phys. Lett. A 28 , 539 (1969).

(29) K. N. Pathak, Proc. Phys. Soc. 92, 998 (1967).

(30) K. N. Pathak and V. K. Jindal, Nouv. Ciment. 10, 409 (1974).

(31) Keshav N. Shrivastava, Phys. Lett. A 113, 437 (1987).

(32) S. N. Behra and S. G. Mishra, Phys. Rev. B 31, 2773 (1985).

(33) S. N. Behra and B. Deo, Phys. Rev. 182, 872 (1969).

(34) B. S. Semwal and P. K. Sharma, Prog. Theor. Phys. 51, 639 (1974).

(35) H. Fr¨ohlich, New Perspectives in Modern Physics, edited by R. E. Marshak, John Wiley,New York, 1966.

(36) P. K. Sharma and Rita Bahadur, Phys. Rev. B 12, 1522 (1975).

(37) B. D. Indu, Int. J. Mod. Phys. B 4, 1379 (1990).

(38) G. Leibfried and Ludwig, Solid State Physics Vol. 2, edited by F. Seitz and D. Turnbull,Academic Press, New York, 1961.

(39)R. W. H. Stevenson, Oliver and Boyd, London, 1966.

(40) D. Feinburg, S. Ciouchi and F. de Pasquale, Int. J. Mod. Phys. B 1 , 1317 (1990).

(41) D. N. Zubarev, Sov. Phys. Uspekhi 3 , 320 (1960).

(42) Hempal Singh, Anu Singh, Vinod Ashokan and B. D. Indu, Ind. J. Appl. Res. 3, 35 (2013).

Downloads

Published

2017-07-31

Issue

Section

Articles