Research Article
Temperature-Induced Domain Shrinking in Ising Ferromagnets Frustrated by a Long-Range Interaction
@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
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.