Basal-plane Incommensurate Phases in HCP Structures
I. Luk'yanchuk (1, 2), A. Jorio (2), M. A. Pimenta (2) ((1), L.D.Landau Inst.for Theor.Phys, Moscow; (2) Dep.de Fisica, UFMG, Brazil)

TL;DR
This paper uses an Ising model to analyze incommensurate phases in the basal plane of HCP structures, explaining experimental observations in related compounds and their phase transition sequences.
Contribution
It introduces a mean-field phase diagram for incommensurate phases in HCP structures using a competing interaction Ising model.
Findings
Identification of various 1q-incommensurate and lock-in phases
Explanation of incommensurate phases in A'A"BX_4 compounds
Description of high-temperature phase transition sequences
Abstract
An Ising model with competing interaction is used to study the appearance of incommensurate phases in the basal plane of an hexagonal closed-packed structure. The calculated mean-field phase diagram reveals various 1q-incommensurate and lock-in phases. The results are applied to explain the basal-plane incommensurate phase in some compounds of the A'A"BX_4 family, like K_2MoO_4, K_2WO_4, Rb_2WO4 and to describe the sequence of high-temperature phase transitions in other compounds of this family.
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