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Josephson lattice model for phase fluctuations of local pairs in copper oxide superconductors

Malte Harland, Sergey Brener, Alexander I. Lichtenstein, Mikhail I. Katsnelson

DOI 10.1103/PhysRevB.100.024510 · Physical Review B

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Abstract

We derive an expression for the effective Josephson coupling from the microscopic Hubbard model. It serves as a starting point for the description of phase fluctuations of local Cooper pairs in dx2−y2-wave superconductors in the framework of an effective XY model of plaquettes, the Josephson lattice. The expression for the effective interaction is derived by means of the local-force theorem, and it depends on local symmetry-broken correlation functions that we obtain using the cluster dynamical mean-field theory. Moreover, we apply the continuum limit to the Josephson lattice to obtain an expression for the gradient term in the Ginzburg-Landau theory and compare predicted London penetration depths and Kosterlitz-Thouless transition temperatures with experimental data for YBa2Cu3O7−x.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-x

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—Pressure not reportedunknown

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