2018/05/15 by T. F. A. Alves, G. A. Alves, Alves, T. F. A. +3
Physics and Astronomy · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1805.05725
openalex publication_date 2018/05/15 · openalex created_date 2018/06/01 · openalex updated_date 2026/07/28
We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica exchange Monte Carlo method, known as Parallel Tempering, to calculate the thermodynamic quantities of the system. We have obtained the staggered magnetization q, the associated magnetic susceptibility (χ) and the specific heat c, to characterize the universality class of the system. At the low-temperature limit, we have obtained a continuous phase transition with a critical temperature around Tc ≈ 1.4116 for a particular modulation of the lattice according to the Fibonacci letter sequence. In addition, we have used finite-size scaling relations with logarithmic corrections to estimate the critical exponents β, γ and ν, and the correction exponents β, γ, α and λ. Our results show that the system obeys the Ising model universality class and that the critical behavior has logarithmic corrections.