Abstract
The ground states of a certain class of one-dimensional models with a nonconvex interatomic interaction which exhibit spatially modulated structures are proved to be equivalent to those of the Frenkel-Kontorova-type models with a convex interatomic interaction. One of the nonconvex models numerically studied by Marchandet al. belongs to this class, and it turns out to be equivalent to the exactly solvable model with a complete devil's staircase studied by Aubry.
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Sasaki, K., Griffiths, R.B. Equivalence of certain convex and nonconvex models of spatially modulated structures. J Stat Phys 53, 1031–1040 (1988). https://doi.org/10.1007/BF01023855
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DOI: https://doi.org/10.1007/BF01023855