Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
| Autor: | Münster, L., Norrenbrock, C., Young, A. P., Hartmann, A. K. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 103, 042117 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.103.042117 |
| Popis: | The standard two-dimensional Ising spin glass does not exhibit an ordered phase at finite temperature. Here, we investigate whether long-range correlated bonds change this behavior. The bonds are drawn from a Gaussian distribution with a two-point correlation for bonds at distance r that decays as $(1+r^2)^{-a/2}$, $a>0$. We study numerically with exact algorithms the ground state and domain wall excitations. Our results indicate that the inclusion of bond correlations does not lead to a spin-glass order at any finite temperature. A further analysis reveals that bond correlations have a strong effect at local length scales, inducing ferro/antiferromagnetic domains into the system. The length scale of ferro/antiferromagnetic order diverges exponentially as the correlation exponent approaches a critical value, $a \to a_c = 0$. Thus, our results suggest that the system becomes a ferro/antiferromagnet only in the limit $a \to 0$. Comment: 10 pages, 10 figures |
| Databáze: | arXiv |
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