Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Temperature-Induced Domain Shrinking in Ising Ferromagnets Frustrated by a Long-Range Interaction

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_76,
        author={Alessandro Vindigni and Oliver Portmann and Niculin Saratz and Fabio Cinti and Paolo Politi and Danilo Pescia},
        title={Temperature-Induced Domain Shrinking in Ising Ferromagnets Frustrated by a Long-Range Interaction},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={frustrated systems modulated systems long-range interactions competing interactions Ising model},
        doi={10.1007/978-3-642-02466-5_76}
    }
    
  • Alessandro Vindigni
    Oliver Portmann
    Niculin Saratz
    Fabio Cinti
    Paolo Politi
    Danilo Pescia
    Year: 2012
    Temperature-Induced Domain Shrinking in Ising Ferromagnets Frustrated by a Long-Range Interaction
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_76
Alessandro Vindigni1, Oliver Portmann1, Niculin Saratz1, Fabio Cinti2, Paolo Politi3, Danilo Pescia1
  • 1: ETH Zürich
  • 2: Università di Firenze
  • 3: Istituto dei Sistemi Complessi, CNR

Abstract

We investigate a spin model in which a ferromagnetic short-range interaction competes with a long-range antiferromagnetic interaction decaying spatially as , being the dimensionality of the lattice. For smaller than a certain threshold (with ), the long-range interaction is able to prevent global phase separation, the uniformly magnetized state favored by the exchange interaction for spin systems. The ground state then consists of a mono-dimensional modulation of the order parameter resulting in a superlattice of domains with positive and negative magnetization. We find that the period of modulation shrinks with increasing temperature and suggest that this is a universal property of the considered model. For  = 2 and = 1 (dipolar interaction) Mean-Field (MF) calculations find a striking agreement with experiments performed on atomically-thin Fe/Cu(001) films. Monte Carlo (MC) results for  = 1 also support the generality of our arguments beyond the MF approach.