We describe degenerate square spin as an ensemble of magnetic monopoles coupled via an emergent entropic field that subsumes the effect of the underlying spin vacuum. We compute their effective free energy, entropic interaction, correlations, screening, and structure factor, and find that they coincide with the experimental ones. Unlike in pyrochlore ices, a dimensional mismatch between real and entropic interactions leads to weak singularities at the pinch points and algebraic correlations at long distances. This algebraic screening can be, however, camouflaged by a pseudoscreening regime.

中文翻译：

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简并方型自旋冰中磁性单极子的平衡场理论：相关性，熵相互作用和电荷屏蔽机制

我们将简并方阵自旋描述为通过一个新兴的熵场耦合的磁单极子的集合，该熵包含了潜在自旋真空的影响。我们计算了它们的有效自由能，熵相互作用，相关性，筛选和结构因子，发现它们与实验值一致。与烧绿石冰不同，真实相互作用和熵相互作用之间的尺寸不匹配会导致夹点处的奇异性较弱，并且在长距离处会导致代数相关性。但是，这种代数筛选可能会被伪筛选机制所掩盖。