Simple Heuristic Derivation of the Universal Jump in the Superfluid Density of 2-Dimensional Superfluids

Abstract

A simple heuristic derivation is given for the universal jump in the superfluid density rho(s) at the transition temperature T(c) of a two-dimensional superfluid. It is based on the mathematical equivalence of the Hamiltonians of two systems: (i) a superfluid sandwiched between two parallel boundaries that are boosted adiabatically from rest to a finite velocity, and (ii) a two-dimensional two-component Coulomb gas (considered as a set of parallel line charges in three dimensions), sandwiched between two oppositely charged parallel capacitor plates.