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The Fukui-Todo algorithm is an important element of the array of simulationalapproaches to tackling critical phenomena in statistical physics. Thepartition-function-zero approach is of fundamental importance to understandingsuch phenomena and a precise tool to measure their properties. However, becausethe Fukui-Todo algorithm bypasses sample-by-sample energy computation, zeroscannot easily be harnessed through the energy distribution. Here this obstacleis overcome by a novel reweighting technique and zero-detection protocol. Theefficacy of the approach is demonstrated in simple iconic models which featuretransitions of both first and second order.

Extracting partition function zeros from Fukui-Todo simulations