Exact results for the two-dimensional, two-component plasma at Γ=2 in doubly periodic boundary conditions

Abstract

The two-dimensional, two-component plasma is considered in doubly periodic boundary conditions with the positive and negative charges confined to separate interlacing rectangular lattices. It is shown that at the special coupling Γ=2, on a lattice of 2 M1×2 M2 sites, the grand partition function can be written as a double integral over a product of determinants of dimension 2 M2×2 M2. On the basis of a conjecture regarding the zero distribution of the grand partition function, the large-M2 behavior of the determinant is given and the pressure evaluated exactly. © 1990 Plenum Publishing Corporation.