Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
| Autor: | Mendoza-Coto, Alejandro, Stariolo, Daniel A., Nicolao, Lucas |
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| Rok vydání: | 2015 |
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| Zdroj: | Phys. Rev. Lett. 114, 116101. (2015) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.114.116101 |
| Popis: | We study two dimensional stripe forming systems with competing repulsive interactions decaying as $r^{-\alpha}$. We derive an effective Hamiltonian with a short range part and a generalized dipolar interaction which depends on the exponent $\alpha$. An approximate map of this model to a known XY model with dipolar interactions allows us to conclude that, for $\alpha <2$ long range orientational order of stripes can exist in two dimensions, and establish the universality class of the models. When $\alpha \geq 2$ no long-range order is possible, but a phase transition in the KT universality class is still present. These two different critical scenarios should be observed in experimentally relevant two dimensional systems like electronic liquids ($\alpha=1$) and dipolar magnetic films ($\alpha=3$). Results from Langevin simulations of Coulomb and dipolar systems give support to the theoretical results. Comment: 5 pages, 2 figures. Supplemental Material included |
| Databáze: | arXiv |
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