  Superconductivity was originally observed in 3D metals caused by an effective
attraction between electrons mediated by the electron-phonon interaction. Since
then there has been a lot of work on 2D conductors including the possibility of
alternative mechanisms that can lead to an effective attractive interaction.
Inspired by the experimental demonstration of both steady-state and transient
negative capacitance in a variety of structures, this paper investigates the
possibility of superconductivity in a two-dimensional conductor embedded in a
negative permittivity medium whose role is to turn the normally repulsive
Coulomb interaction into an attractive one. A weak coupling BCS theory is used
to identify the key parameters that have to be optimized to observe a
superconducting transition, especially the need for a small effective negative
permittivity, which could be obtained by balancing a negative permittivity
medium with a positive permittivity one.
