Journal of Statistical Physics, Vol. 94, Nos. 56, 1999. p. 1045-1054.
The exact solution of the asymmetric six-vertex model is cast in an algebraically simple form in which the extraction of physical quantities is transparent. This is used to derive a symmetry relation corresponding to the exchange of spatial x and y axes. As an application we study the field-induced phase transition of a
two-dimensional analogue of spin ice, a frustrated Ising magnet.