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Microscopic derivation of the Ginzburg-Landau equations for a d-wave superconductor

Microscopic derivation of the Ginzburg-Landau equations for a d-wave superconductor The Ginzburg-Landau (GL) equations for a d x 2 - y 2 superconductor are derived within the context of two microscopic lattice models used to describe the cuprates: the extended Hubbard model and the antiferromagnetic–van Hove model. Both models have pairing on nearest-neighbor links, consistent with theories for d-wave superconductivity mediated by spin fluctuations. Analytical results obtained for the extended Hubbard model at low electron densities and weak coupling are compared to results reported previously for a d-wave superconductor in the continuum. The variations of the coefficients in the GL equations with carrier density, temperature, and coupling constants are calculated numerically for both models. The relative importance of anisotropic higher-order terms in the GL free energy is investigated, and the implications for experimental observations of the vortex lattice are considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Microscopic derivation of the Ginzburg-Landau equations for a d-wave superconductor

Feder, D. L; Kallin, C
Physical Review B , Volume 55 (1) – Jan 1, 1997
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1997 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.55.559
Publisher site
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Abstract

The Ginzburg-Landau (GL) equations for a d x 2 - y 2 superconductor are derived within the context of two microscopic lattice models used to describe the cuprates: the extended Hubbard model and the antiferromagnetic–van Hove model. Both models have pairing on nearest-neighbor links, consistent with theories for d-wave superconductivity mediated by spin fluctuations. Analytical results obtained for the extended Hubbard model at low electron densities and weak coupling are compared to results reported previously for a d-wave superconductor in the continuum. The variations of the coefficients in the GL equations with carrier density, temperature, and coupling constants are calculated numerically for both models. The relative importance of anisotropic higher-order terms in the GL free energy is investigated, and the implications for experimental observations of the vortex lattice are considered.

Journal

Physical Review B – American Physical Society (APS)

Published: Jan 1, 1997

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