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

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 Metr...

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Principais autores:	Alves, G. A., Vasconcelos, Manoel Silva de, Alves, T. F. A.
Formato:	article
Idioma:	English
Publicado em:	American Physical Society
Assuntos:	Quasiperiodic Fibonacci Monte Carlo method
Endereço do item:	https://repositorio.ufrn.br/jspui/handle/123456789/30144
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id	ri-123456789-30144
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spelling	ri-123456789-301442020-09-27T07:55:29Z Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions Alves, G. A. Vasconcelos, Manoel Silva de Alves, T. F. A. Quasiperiodic Fibonacci Monte Carlo method 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 2020-09-21T22:56:15Z 2020-09-21T22:56:15Z 2016 article 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. 2470-0045 2470-0053 https://repositorio.ufrn.br/jspui/handle/123456789/30144 10.1103/physreve.93.042111 en application/pdf application/pdf American Physical Society
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Quasiperiodic Fibonacci Monte Carlo method
spellingShingle	Quasiperiodic Fibonacci Monte Carlo method Alves, G. A. Vasconcelos, Manoel Silva de Alves, T. F. A. Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
description	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
format	article
author	Alves, G. A. Vasconcelos, Manoel Silva de Alves, T. F. A.
author_facet	Alves, G. A. Vasconcelos, Manoel Silva de Alves, T. F. A.
author_sort	Alves, G. A.
title	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
title_short	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
title_full	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
title_fullStr	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
title_full_unstemmed	Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions
title_sort	critical properties of a two-dimensional ising magnet with quasiperiodic interactions
publisher	American Physical Society
publishDate	2020
url	https://repositorio.ufrn.br/jspui/handle/123456789/30144
work_keys_str_mv	AT alvesga criticalpropertiesofatwodimensionalisingmagnetwithquasiperiodicinteractions AT vasconcelosmanoelsilvade criticalpropertiesofatwodimensionalisingmagnetwithquasiperiodicinteractions AT alvestfa criticalpropertiesofatwodimensionalisingmagnetwithquasiperiodicinteractions
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Critical properties of a two-dimensional Ising magnet with quasiperiodic interactions

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