Use este identificador para citar ou linkar para este item: https://repositorio.ufrn.br/handle/123456789/30144
Título: Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
Autor(es): Alves, G. A.
Vasconcelos, Manoel Silva de
Alves, T. F. A.
Palavras-chave: Quasiperiodic Fibonacci;Monte Carlo method
Data do documento: 2016
Editor: American Physical Society
Referência: ALVES, G. A.; VASCONCELOS, M. S.; ALVES, T. F. A.. Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions. Physical Review E, [S.L.], v. 94, n. 4, p. 019904, 12 abr. 2016. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042111. Acesso em: 02 Set. 2020. http://dx.doi.org/10.1103/physreve.93.042111.
Resumo: We address the study of quasiperiodic interactions on a square lattice by using an Ising model with ferromagnetic and antiferromagnetic exchange interactions following a quasiperiodic Fibonacci sequence in both directions of a square lattice. We applied the Monte Carlo method, together with the Metropolis algorithm, to calculate the thermodynamic quantities of the system. We obtained the Edwards–Anderson order parameter qEA, the magnetic susceptibility χ, and the specific heat c in order to characterize the universality class of the phase transition. We also use the finite size scaling method to obtain the critical temperature of the system and the critical exponents β, γ , and ν. In the low-temperature limit we obtained a spin-glass phase with critical temperature around Tc ≈ 2.274, and the critical exponents β, γ , and ν, indicating that the quasiperiodic order induces a change in the universality class of the system. Also, we discovered a spin-glass ordering in a two-dimensional system which is rare and, as far as we know, the unique example is an under-frustrated Ising model
URI: https://repositorio.ufrn.br/jspui/handle/123456789/30144
ISSN: 2470-0045
2470-0053
Aparece nas coleções:ECT - Artigos publicados em periódicos

Arquivos associados a este item:
Arquivo Descrição TamanhoFormato 
CriticalPropertiesIsing_VASCONCELOS_2016.pdf529,82 kBAdobe PDFThumbnail
Visualizar/Abrir
ErratumCriticalProperties_VASCONCELOS_2018.pdf1,07 MBAdobe PDFThumbnail
Visualizar/Abrir


Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.