2015/03/17 by Alejandro Mendoza-Coto, Daniel A. Stariolo, Lucas Nicolao · 3 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Coulomb #Critical exponent #Dipole #Exponent #Hamiltonian (control theory) #Magnetic properties of thin films #Materials science #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Range (aeronautics) #Renormalization group #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.114.116101
published as Phys. Rev. Lett. 114, 116101. (2015) · 5 pages, 2 figures. Supplemental Material included
openalex publication_date 2015/03/17 · arxiv created 2015/03/18 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.