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Nature of long-range order in stripe-forming systems with long-range repulsive interactions

Nature of long-range order in stripe-forming systems with long-range repulsive interactions

Physical Review Letters 114(11): 116101

We study two dimensional stripe forming systems with competing repulsive interactions decaying as r(-α). We derive an effective Hamiltonian with a short-range part and a generalized dipolar interaction which depends on the exponent α. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for α<2 long-range orientational order of stripes can exist in two dimensions, and establish the universality class of the models. When α≥2 no long-range order is possible, but a phase transition in the Kosterlitz-Thouless universality class is still present. These two different critical scenarios should be observed in experimentally relevant two dimensional systems like electronic liquids (α=1) and dipolar magnetic films (α=3). Results from Langevin simulations of Coulomb and dipolar systems give support to the theoretical results.

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Accession: 058382003

Download citation: RISBibTeXText

PMID: 25839293

DOI: 10.1103/PhysRevLett.114.116101

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