SOLVABLE MODEL OF THE PAIRING TRANSITION IN A TWO-DIMENSIONAL ONE-COMPONENT PLASMA/METAL INTERFACE MODEL
International Journal of Modern Physics A | World Scientific Pub Co Pte Lt | Published : 1992
An exactly solvable model of the pairing transition from a conductive to an insulator phase in a two-dimensional, log-potential Coulomb system is given. The system considered is the one-component plasma of positive particles without a neutralizing background near a metal interface, which is coupled to an external (non-Coulombic) potential. A complete analytic description of the equilibrium properties of the two phases and the transition is provided, and this is compared with the expected analytic properties of the two-component log-potential Coulomb gas in one and two-dimensions.