非球面高斯核模型有序基态组态的简并性
On the degeneracy of ordered ground state configurations of the aspherical Gaussian core model
摘要：
我们提供了严格的证据表明，有序的基态配置系统的平行取向，椭球粒子，通过高斯相互作用（在文献中称为高斯核向列）{ \it必须}是无限简并的：我们证明了这些组态是通过适当的晶格拉伸操作从相应的对称高斯核系统的相关基态组态产生的结合任意旋转。这些调查结果解释了以前调查中的相关观察结果，这些观察结果当时仍然无法解释。我们的结论对寻找其它双光子晶体的基态构型具有深远的意义。
英文摘要：
We provide rigorous evidence that the ordered ground state configurations of a system of parallel oriented, ellipsoidal particles, interacting via a Gaussian interaction (termed in literature as Gaussian core nematics) {\it must} be infinitely degenerate: we have demonstrated that these configurations originate from the related ground state configuration of the corresponding symmetric Gaussian core system via a suitable stretching operation of this lattice in combination with an arbitrary rotation. These findings explain related observations in former investigations, which then remained unexplained. Our conclusions have far reaching consequences for the search of ground state configurations of other nematic particles.
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