论文标题
在脱合量子量点处的一致缩放指数
Consistent scaling exponents at the deconfined quantum-critical point
论文作者
论文摘要
我们报告了一项量子蒙特卡洛研究，该研究对抗铁磁和价键固体基态在Square-lattice $ s = 1/2 $ $ j $ -j $ -q $型号中的相变。 $ q $项的关键相关函数给出了相关长度指数的值$ν= 0.455 \ pm 0.002 $的缩放维度。该值与以前的（较少精确的）结果一致，例如，近临界阶参数的有限尺寸缩放量表。我们还研究了$ l^2 $ lattices的订单参数的$ q $衍生物，$ l $ $ l $ to $ 448 $。坡度将其增长为$ l^{1/ν} $，值为$ν$，与$ q $ enter的缩放维度一致。没有迹象表明失控流向一阶相变。 $ν$的相互一致的估计为连续的降级量子量点提供了令人信服的支持。
We report a quantum Monte Carlo study of the phase transition between antiferromagnetic and valence-bond solid ground states in the square-lattice $S=1/2$ $J$-$Q$ model. The critical correlation function of the $Q$ terms gives a scaling dimension corresponding to the value $ν= 0.455 \pm 0.002$ of the correlation-length exponent. This value agrees with previous (less precise) results from conventional methods, e.g., finite-size scaling of the near-critical order parameters. We also study the $Q$-derivatives of the Binder cumulants of the order parameters for $L^2$ lattices with $L$ up to $448$. The slope grows as $L^{1/ν}$ with a value of $ν$ consistent with the scaling dimension of the $Q$ term. There are no indications of runaway flow to a first-order phase transition. The mutually consistent estimates of $ν$ provide compelling support for a continuous deconfined quantum-critical point.
