Weak-coupling theory of high-temperature superconductivity in the antiferromagnetically correlated copper oxides

P. Monthoux, A. V. Balatsky, and D. Pines
Phys. Rev. B 46, 14803 – Published 1 December 1992
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Abstract

We show that the retarded interaction between quasiparticles on a two dimensional square lattice induced by the exchange of antiferromagnetic paramagnons leads uniquely to a transition to a superconducting state with dx2-y2 symmetry. We find that the effective quasiparticle interaction responsible for superconductivity possesses considerable structure in both momentum and frequency space, and show, 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 that 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, we obtain high transition temperatures and energy-gap behaviors comparable to those measured for YBa2Cu3O7, YBa2Cu3O6.63, and La1.85Sr0.15CuO4.

  • Received 18 March 1992

DOI:https://doi.org/10.1103/PhysRevB.46.14803

©1992 American Physical Society

Authors & Affiliations

P. Monthoux

  • Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

A. V. Balatsky

  • Center for Materials Science, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
  • Landau Institute for Theoretical Physics, Moscow, U.S.S.R.

D. Pines

  • Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

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Vol. 46, Iss. 22 — 1 December 1992

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