Abstract
An extended version of the soliton theory is derived and used to explain the observed low-temperature phase transitions in LiCsSO4 which are assumed to be driven by the planar orientation of SO4 tetrahedrons. Two possible states of this orientation are expressed as S=1/2 spin states. Within the framework of the hcp Ising model, the phase transitions are described in terms of two order parameters representing spin-density wave along two mutually orthogonal directions in the basic hcp plane. The first order parameter describes the modulated phase below the temperature, T1. The ground-state configuration of the incommmensurate phase is a soliton lattice of domain walls which get narrower as the temperature decreases till the lock-in point, T2. The second order parameter describes the Curie second-order phase transition at T* and represents a collinear coherence of the planar turns of the tetrahedrons SO4 in each of the single magnetic planes, being the building units of the domain walls.
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