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Frequency and wave-vector dependence of the fluctuation electromagnetic response near the superconducting transition

Yu. S. Barash, A. V. Galaktionov

DOI 10.1103/PhysRevB.48.6284 · Physical Review B

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Abstract

Expressions for the fluctuation components of frequency- and wave-vector-dependent transverse and longitudinal dielectric functions are obtained for a normal massive isotropic metal near Tc. The characteristic radius of nonlocality of the fluctuation response is shown to be of the order of the temperature-dependent superconducting coherence length ξ(T). Certain consequences of the nonlocal nature of the static-fluctuation diamagnetic response above and below Tc are discussed. Frequency and wave-vector dependences of the fluctuation electromagnetic response are found to determine the characteristic value of the differential cross section for small-angle magnetic neutron scattering near Tc. This value appears to be 103–105 times greater in high-temperature superconductors than in low-temperature superconductors with large zero-temperature coherence lengths.

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