站点稀释kagome伊辛模型中的静态与动态普适性
Static versus dynamic universality in the site-diluted kagome Ising model
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中文总结 AI 辅助
本研究通过Wolff算法模拟kagome晶格站点稀释伊辛模型，发现静态临界指数保持纯伊辛值，而动态指数随稀释减小且晶格间差异源于重整化群流位置，非普适性破坏。
中文摘要 AI 辅助
我们使用Wolff单簇算法研究了kagome晶格上的站点稀释伊辛模型，重点关注平衡态和动态临界性质。对于所考虑的所有自旋浓度$p$，平衡临界指数$\nu = 1$和$\gamma/\nu = 7/4$保持其精确的纯伊辛值，这与在$\alpha = 0$处无序的边缘无关性一致，比热在稀释时从对数增长转变为双对数增长。这些静态结果在kagome和方形晶格上是共有的。在动态方面，$z$在两种晶格上均随稀释而减小，这与在局部动力学下观察到的现象相反，并有证据表明在强稀释下饱和到一个与$p$无关的值，暗示存在一个稀释动态不动点。虽然$z$在纯情况下两种晶格一致，但在稀释区域有所不同，我们将此效应归因于两种晶格在伊辛和渗流不动点之间的重整化群流中所处位置不同，而非动态普适性的真正渐近破坏。
英文摘要
We study the site-diluted Ising model on the kagome lattice using the Wolff single-cluster algorithm, focusing on both equilibrium and dynamic critical properties. The equilibrium critical exponents $ν= 1$ and $γ/ν= 7/4$ retain their exact pure Ising values for all spin concentrations $p$ considered, consistent with the marginal irrelevance of disorder at $α= 0$, with the specific heat crossing over from logarithmic to double-logarithmic growth upon dilution. These static results are shared between the kagome and square lattices. On the dynamic side, $z$ decreases upon dilution on both lattice, opposite to what is observed under local dynamics, with evidence of saturation to a $p$-independent value at strong dilution, suggesting a diluted dynamic fixed point. While $z$ is consistent between the two lattices in the pure case, it differs in the diluted regime, an effect we attribute to the two lattices sitting at different positions along the renormalization-group flow between the Ising and percolation fixed points, rather than to a true asymptotic breakdown of dynamic universality.
发表机构
- University of Essex（埃塞克斯大学）
- Dokuz Eylül University（多古兹·伊尤尔大学）
- Utrecht University（乌得勒支大学）
- National and Kapodistrian University of Athens（雅典国立卡波蒂斯特里亚斯大学）
机构由 AI 辅助整理，请以论文原文为准。
