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Collective modes in the electronic polarization of double-layer systems in the superconducting state

Collective modes in the electronic polarization of double-layer systems in the superconducting state

Standard weak-coupling methods are used to study collective modes in the superconducting state of a double-layer system with intralayer and interlayer interaction, as well as a Josephson-type coupling and single-particle hopping between the layers by calculating the electronic polarization function perpendicular to the layers. Analytical results are derived for the …