Modulated phases and devil s staircases in a layered mean- field version of the ANNNI model (2013)
- Authors:
- Autor USP: SALINAS, SILVIO ROBERTO DE AZEVEDO - IF
- Unidade: IF
- Assunto: MECÂNICA ESTATÍSTICA
- Language: Inglês
- Abstract: We investigate the phase diagram of a spin-1=2 Ising model on a cubic lattice, with competing interactions between nearest and next-nearest neighbors along an axial direction, and fully connected spins on the sites of each perpendicular layer. The problem is formulated in terms of a set of noninteracting Ising chains in a position-dependent eld. At low temperatures, as in the standard mean-feild version of the Axial-Next-Nearest-Neighbor Ising (ANNNI) model, there are many distinct spatially commensurate phases that spring from a multiphase point of in nitely degenerate ground states. As temperature increases, we con rm the existence of a branching mechanism associated with the onset of higher-order commensurate phases. We check that the ferromagnetic phase undergoes a rst-order transition to the modulated phases. Depending on a parameter of competition, the wave number of the striped patterns locks in rational values, giving rise to a devil s staircase. We numerically calculate the Hausdor dimension D0 associated with these fractal structures, and show that D0 increases with temperature but seems to reach a limiting value smaller than D0 = 1.
- Imprenta:
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ABNT
NASCIMENTO, Eduardo e LIMA, J P de e SALINAS, Sílvio Roberto de Azevedo. Modulated phases and devil s staircases in a layered mean- field version of the ANNNI model. . São Paulo: Instituto de Física, Universidade de São Paulo. Disponível em: http://lanl.arxiv.org/pdf/1310.5691v2.pdf. Acesso em: 17 abr. 2024. , 2013 -
APA
Nascimento, E., Lima, J. P. de, & Salinas, S. R. de A. (2013). Modulated phases and devil s staircases in a layered mean- field version of the ANNNI model. São Paulo: Instituto de Física, Universidade de São Paulo. Recuperado de http://lanl.arxiv.org/pdf/1310.5691v2.pdf -
NLM
Nascimento E, Lima JP de, Salinas SR de A. Modulated phases and devil s staircases in a layered mean- field version of the ANNNI model [Internet]. 2013 ;[citado 2024 abr. 17 ] Available from: http://lanl.arxiv.org/pdf/1310.5691v2.pdf -
Vancouver
Nascimento E, Lima JP de, Salinas SR de A. Modulated phases and devil s staircases in a layered mean- field version of the ANNNI model [Internet]. 2013 ;[citado 2024 abr. 17 ] Available from: http://lanl.arxiv.org/pdf/1310.5691v2.pdf - Escada do diabo completa num modelo de ising com interacoes competitivas
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