CORRIGENDUM: Phase transition in the two-dimensional frustrated x-y model: scaling equations
The author establishes scaling equations for the two-dimensional x-y model with weak frustration using the electrostatic analogy of Kosterlitz and Thouless. In the limit of small disorder he finds a shift in the critical temperature Tc(x)-Tc(0)=-(Jx/kB)(2 pi 2- pi /2 ln 2x) and the exponents are unchanged from the pure values.
On the theory of the phase transition in the two-dimensional planar spin model
It is shown that the scaling equations of Kosterlitz, which describe the phase transition in the two-dimensional planar spin model, can be derived from the earlier theory of Kosterlitz and Thouless (1973). The two theories are therefore fundamentally identical and the difference in the final results is due to an extra mathematical approximation made by Kosterlitz and Thouless.
Solvable spin systems with random interactions
Abstract It is shown that if the bonds connecting spins on a lattice are separable functions of random variables, the thermodynamic and magnetic parameters may be obtained using the known properties of a spin system with non-random bonds.