Octonacci photonic crystals with negative refraction index materials

Brandão, E.R.; Vasconcelos, M.S.; Anselmo, D.H.A.L.

doi:10.1016/j.optmat.2016.11.013

Cited by 23 publications

(3 citation statements)

References 40 publications

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“…Transmission of'the'two'materials'A'and'B'constituting'the'photonic'quasicrystal'are'nA'='2.3'and' nB'='1.8.' ' A'new'type'of'quasicrystal'ha'been'designed'and'has'been'called'Octonacci'crystal' [196][197][198].' Its'generation'scheme'can'be'written'as:'…”

Section: Energy (Ev)mentioning

confidence: 99%

Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures

Bellingeri¹,

et al. 2017

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Section: Energy (Ev)mentioning

confidence: 99%

Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures

Bellingeri¹,

et al. 2017

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“…When J ij is 1, we have a ferromagnetic interaction, and when J ij is −1 we have an antiferromagnetic one. The Octonacci sequence is obtained from the substitution rules A → ABA and B → A in 1D [33][34][35]. Any generation of the aperiodic sequence can be constructed from the previous generation by replacing all letters A with ABA and all letters B with A.…”

Section: Model and Simulationsmentioning

confidence: 99%

Critical behavior of the 2D Ising model modulated by the Octonacci sequence

Alves¹,

Vasconcelos²,

Alves³

2017

J. Stat. Mech.

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We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the replica exchange Monte Carlo (parallel tempering) technique to calculate the thermodynamic quantities of the system. We obtained the order parameter, the associated magnetic susceptibility (χ) and the specific heat (c) in order to characterize the universality class of the phase transition. Also, we 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 have obtained a continuous transition with critical temperature around T c ≈ 1.413. The system obeys the Ising universality class with logarithmic corrections. We found estimatives for the correction exponents β, γ and λ by using the finite size scaling technique.

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“…When J ij is 1, we have a ferromagnetic interaction, and when J ij is −1 we have an antiferromagnetic one. The Octonacci sequence is obtained from the substitution rules A → ABA and B → A in 1D [34][35][36]. Any generation of the aperiodic sequence can be constructed from the previous generation by replacing all letters A with ABA and all letters B with A.…”

Section: Model and Simulationsmentioning

confidence: 99%

Critical behavior of the 2D Ising model modulated by the Octonacci sequence

Alves,

Vasconcelos,

Alves

2017

Preprint

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We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo (Parallel Tempering) technique to calculate the thermodynamic quantities of the system. We obtained the order parameter, the associated magnetic susceptibility (χ) and the specific heat (c) in order to characterize the universality class of the phase transition. Also, we 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 have obtained a continuous transition with critical temperature around T c ≈ 1.413. The system obeys the Ising universality class with logarithmic corrections. We found estimatives for the correction exponents β, γ and λ by using the finite size scaling technique.

show abstract

Octonacci photonic crystals with negative refraction index materials

Cited by 23 publications

References 40 publications

Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures

Optical properties of periodic, quasi-periodic, and disordered one-dimensional photonic structures

Critical behavior of the 2D Ising model modulated by the Octonacci sequence

Critical behavior of the 2D Ising model modulated by the Octonacci sequence

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