New results are presented for the wavevector-dependent susceptibility of Z-invariant periodic and quasiperiodic Ising models in the scaling limit, generalizing old results of Tracy and McCoy for the square lattice. Explicit results are worked out for the two leading singular terms of the...

We study the critical spin-spin correlation function in the Z-invariant inhomogeneous Ising model, which includes the rectangular, triangular, honeycomb, and checkerboard lattices as special cases. Using quadratic difference equations we derive various explicit representations for the...

Under certain conditions lipid-bilayer membranes exhibit an incommensurate ripple phase. Pearce and Scott have proposed lattice models with either next-nearest-neighbor interactions or with chiral nearest-neighbor interactions to study this phenomenon. After briefly discussing the equivalence of...

Using the results of the integrable chiral Potts model, we speculate about the possible phase diagram of the generalized chiral clock model. In the integrable model, it is found that the chiral fields are almost proportional to one another. Here we consider a chiral model with all the chiral...

For infinite temperature we calculate the terms up to order t10 in the expansion of the correlation function 〈σz0(t)σzn(0)〉 of the anisotropic spin - 12 Heisenberg chain. These expansion coefficients are analyzed using the theory of Tchebycheff bounds. For the isotropic Heisenberg chain,...

On the basis of an ad hoc local free energy postulate recently advanced by de Gennes and Fisher, predictions are made for the local composition/magnetization perturbations induced near a wall by the presence of a second parallel wall at finite separation D, in a system at its bulk critical...