  Motivated by a number of realizations of long-range interacting systems,
including ultra-cold atomic and molecular gases, we study a neutral plasma with
power-law interactions longer-ranged than Coulombic. We find that beyond a
crossover length, such interactions are universally screened down to a standard
Coulomb form in all spatial dimensions. This implies, counter-intuitively, that
in two dimensions, such a "super-Coulombic" gas undergoes the same
Kosterlitz-Thouless transition as a conventional Coulomb gas at an elevated
temperature that we calculate. We also predict that above two dimensions, even
when naively the bare potential is confining, there is no confined phase of the
plasma at any nonzero temperature. In addition, we show that power-law
potentials that fall off more rapidly than Coulombic are screened down to a
shorter ranged power-law, rather than an exponential Debye-Huckel Yukawa form.
We expect these prediction to be testable in simulations, and hope they will
inspire experimental studies in various platforms.
