Julia Yeomans OBE FRS

Abstract:

The authors use a finite-size scaling calculation to study the phase diagram of the two-dimensional, three-state, chiral clock model. Bulk properties, the ferromagnetic transition temperature and associated exponents are calculated from the scaling of the susceptibility and interface behaviour, the position of the interface wetting line and its exponents, from considering the net adsorption. They also present preliminary results on interface properties which are sensitive to the transition between the paramagnetic and incommensurate phases.

Abstract:

Domain-wall arguments are used to study the stability of long-period commensurate phases in the presence of quenched impurities. It is found that in three dimensions phases with periodicity larger than a critical value lc - 1/c, where c is the impurity concentration, are unstable. This results in disordered 'spin-glass'-like phases. The effect can be studied experimentally by varying the impurity concentration in modulated systems. © 1985, IOP Publishing Ltd.

Abstract:

A three-dimensional Ising model with competing interactions up to third-neighbour layers is analysed using low-temperature series expansions and mean field theory. New sequences of phases springing from multiphase lines are found and the crossover to the behaviour of the ANNNI model is studied. Results are related to experimental findings on alloys, ferroelectrics, and polytypes. © 1985 The Institute of Physics.

Abstract:

A finite-size-scaling analysis is applied to two axial next-nearest- neighbor Ising (ANNNI) models. By using the scaling behavior of both the correlation length and the modulation wave vector we are able to clearly identify and distinguish between the ordered commensurate phases, the lock-in fluid phases, and in particular, the two types of incommensurate (floating) phases occurring in the models. As expected, the brickwork ANNNI model does not have a floating-solid phase, but instead has a q=(1/4) lock-in fluid phase above its 2 phase. On the basis of our results, we conclude that, in contrast to a recent suggestion, transfer-matrix methods can be a powerful tool in the study of two-dimensional models which exhibit incommensurate phases. © 1985 The American Physical Society.