Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions

Alves, G. A.; Vasconcelos, Manoel Silva de; Alves, T. F. A.

Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions

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dc.contributor.author	Alves, G. A.
dc.contributor.author	Vasconcelos, Manoel Silva de
dc.contributor.author	Alves, T. F. A.
dc.date.accessioned	2020-09-21T22:56:15Z
dc.date.available	2020-09-21T22:56:15Z
dc.date.issued	2016
dc.description.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	pt_BR
dc.identifier.citation	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.	pt_BR
dc.identifier.doi	10.1103/physreve.93.042111
dc.identifier.issn	2470-0045
dc.identifier.issn	2470-0053
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/30144
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.subject	Quasiperiodic Fibonacci	pt_BR
dc.subject	Monte Carlo method	pt_BR
dc.title	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions	pt_BR
dc.type	article	pt_BR