半月形是色散的关键点
Half moons are pinch points with dispersion
摘要：
“夹点”，在（准）弹性中子散射中观察到的奇异特征，是具有突现规范对称性的自旋液体的广泛讨论的标志。很少有人注意到“半月形”，这是一种在有限能量下的独特新月形图案，在一些烧绿石磁铁的实验中和广泛的模型计算中都观察到了。在这里，我们统一这两种现象在一个单一的框架内，特别注意的情况下，有序的，或场饱和状态，在那里可以找到夹点和半月形带的激发以上的差距。我们发现，半月只不过是刻在色散带上的夹点。利用分子动力学模拟研究了可果美晶格反铁磁体的能带如何演化到经典自旋液体的基态和激发态。我们明确地表明，该理论可以重现的窄点和半月形观察到的Nd $_2$ Zr $_2$ O $_7$。
英文摘要：
"Pinch points," singular features observed in (quasi-)elastic neutron scattering, are a widely discussed hallmark of spin liquids with an emergent gauge symmetry. Much less attention has been paid to "half moons," distinctive crescent patterns at finite energy, which have been observed in experiments on a number of pyrochlore magnets, and in a wide range of model calculations. Here we unify these two phenomena within a single framework, paying particular attention to the case of ordered, or field-saturated states, where pinch points and half moons can be found in bands of excitations above a gap. We find that half moons are nothing other than pinch points inscribed on a dispersing band. Molecular dynamics simulations of the kagome lattice antiferromagnet are used to explore how these bands evolve into the ground state and excitations of a classical spin liquid. We explicitly demonstrate that this theory can reproduce the pinch points and half moons observed in Nd$_2$Zr$_2$O$_7$.
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