关于Halfman猜想的数值证据
Numerical Evidence for the Haldane Conjecture
摘要：
当应用于二维的具有θ项的海森堡O（3）模型时，Haldman猜想指出，当θ接近π时，相关长度θ发散。为了验证这个猜想，我们在虚θ处对模型进行了数值模拟，然后将结果解析地推广到实θ。我们得到了该模型临界点的值θ=3.10（5），这与我们的期望是一致的。
英文摘要：
The Haldane conjecture, when applied to the Heisenberg O(3) model with a θterm in two dimensions, states that the correlation length ξdiverges when θapproaches π. To verify this conjecture we have numerically simulated the model at imaginary θand then analytically continued the results to real θ. We have obtained that the value where the model should become critical is θ=3.10(5) in agreement with the expectation.
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