University of Illinois Urbana-Champaign

Spin fluctuations and high-temperature superconductivity in the copper oxides

Monthoux, Philippe Henri

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https://hdl.handle.net/2142/22728

Description

Title
Spin fluctuations and high-temperature superconductivity in the copper oxides
Author(s)
Monthoux, Philippe Henri
Issue Date
1992
Doctoral Committee Chair(s)
Pines, David
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Condensed Matter
Language
eng
Abstract
  • The author reports studies of spin-fluctuation-induced superconductivity in the antiferromagnetically correlated copper oxide high temperature superconductors.
  • The spin fluctuation mechanism is first studied within a weak coupling approximation. It is shown that the retarded interaction between quasiparticles on a 2D square lattice induced by the exchange of antiferromagnetic paramagnons leads uniquely to a transition to a superconducting state with $\rm d\sb{x\sp2-y\sp2}$ symmetry. The effective quasiparticle interaction responsible for superconductivity possesses considerable structure in both momentum and frequency space, and it is shown, by explicit calculations, that if one wishes to obtain quantitatively meaningful results it is essential to allow for that structure in solving the full integral equations which determine the superconducting transition temperature and the superconducting properties. With a spin excitation spectrum and a quasiparticle-paramagnon coupling determined by fits to normal state experiments, the author obtains high transition temperatures and energy gap behaviors comparable to those measured for $\rm YBa\sb2Cu\sb3O\sb7,$ $\rm YBa\sb2Cu\sb3O\sb{6.63},$ and $\rm La\sb{1.85}Sr\sb{0.15}CuO\sb4.$
  • The author then studies the influence of strong coupling effects, and high temperature superconductivity is obtained. This requires the solution of the Eliashberg equations taking full account of the momentum and frequency dependence of the effective interaction; approximations commonly used for phonon-induced superconductivity fail to yield quantitatively meaningful results.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/22728
Copyright and License Information
Copyright 1992 Monthoux, Philippe Henri

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