Hyperuniformity in Ashkin-Teller model
| Autor: | Mukherjee, Indranil, Mohanty, P. K. |
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| Rok vydání: | 2024 |
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| Zdroj: | J. Phys.: Condens. Matter 36 465401 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-648X/ad6c99 |
| Popis: | We show that equilibrium systems in $d$ dimension that obey the inequality $d\nu> 2,$ known as Harris criterion, exhibit suppressed energy fluctuation in their critical state. Ashkin-Teller model is an example in $d=2$ where the correlation length exponent $\nu$ varies continuously with the inter-spin interaction strength $\lambda$ and exceeds the value $\frac d2$ set by Harris criterion when $\lambda$ is negative; there, the variance of the subsystem energy across a length scale $l$ varies as $l^{d-\alpha}$ with hyperuniformity exponent $\alpha = 2(1-\nu^{-1}).$ Point configurations constructed by assigning unity to the sites which has coarse-grained energy beyond a threshold value also exhibit suppressed number fluctuation and hyperuniformiyty with same exponent $\alpha.$ Comment: 13 pages, 5 figs |
| Databáze: | arXiv |
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