By intentionally underestimating the rate of convergence ofexact-diagonalization values for the mass or energy gaps of finite systems, weform families of sequences of gap estimates. The gap estimates cross zero withgenerically nonzero linear terms in their Taylor expansions, so that $\nu = 1$for each member of these sequences of estimates. Thus, the Coherent AnomalyMethod can be used to determine $\nu$. Our freedom in deciding exactly how tounderestimate the convergence allows us to choose the sequence that displaysthe clearest coherent anomaly. We demonstrate this approach on thetwo-dimensional ferromagnetic Ising model, for which $\nu = 1$. We also use iton the three-dimensional ferromagnetic Ising model, finding $\nu \approx0.629$, in good agreement with other estimates.
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机译：通过有意地低估了有限系统的质量或能隙的精确对角化值的收敛速度，形成了间隙估计序列的族。间隙估计在其泰勒展开中通常与零线性项交叉，因此对于这些估计序列的每个成员$ \ nu = 1 $。因此，相干异常方法可用于确定$ \ nu $。我们可以自由决定确切地如何低估收敛性，这使我们可以选择显示最清晰相干异常的序列。我们在$ \ nu = 1 $的二维铁磁Ising模型上证明了这种方法。我们还在三维铁磁伊辛模型上使用了它，找到了\ nu \ approx0.629 $，与其他估计值非常吻合。
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