关联无序下二维$N$ -color Ashkin-Teller模型的突现泛临界行为
Emergent universal critical behavior of the 2D $N$-color Ashkin-Teller model in the presence of correlated disorder
摘要：
我们研究了二维$N$ -color Ashkin-Teller模型在随机键序存在下的临界行为，随机键序的相关性随距离$r$按幂律$r^{-a}$衰减.我们考虑的情况下，当不同颜色的自旋坐在同一个网站是由相同的键耦合和映射到二维系统的$N/2$口味的相互作用狄拉克费米子在相关的障碍的存在下，这个问题。利用重整化群，我们证明了对于$N=2$，一个“弱普适”的标度行为在连续跃迁处变得普适，并有了新的临界指数。对于$N>2$，一级相变被关联无序所圆化，并变成连续相变。
英文摘要：
We study the critical behavior of the 2D $N$-color Ashkin-Teller model in the presence of random bond disorder whose correlations decays with the distance $r$ as a power-law $r^{-a}$. We consider the case when the spins of different colors sitting at the same site are coupled by the same bond and map this problem onto the 2D system of $N/2$ flavors of interacting Dirac fermions in the presence of correlated disorder. Using renormalization group we show that for $N=2$, a "weakly universal" scaling behavior at the continuous transition becomes universal with new critical exponents. For $N>2$, the first-order phase transition is rounded by the correlated disorder and turns into a continuous one.
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