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 l c approximately 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.
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Bak et al. (1985) studied this question.
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