AI 中文总结
该研究通过分析和数值研究扩展哈伯德模型，发现格林函数零点的色散由自旋关联和缺陷运动学决定，其在莫特与电荷密度波相变处的不连续变化编码了强关联有序的物理特性。
AI 中文摘要
关联绝缘体缺乏低能准粒子极点，但其格林函数仍通过零点保留清晰的动量结构，不过零点的具体含义尚不明确。通过对扩展哈伯德模型进行分析和数值研究，我们建立了强关联物质的新范式：格林函数零点的色散由微观自旋-自旋关联和缺陷运动学共同决定。事实上，我们发现该色散在莫特相与棋盘型电荷密度波相之间的相变处发生不连续变化，符合一级相变的预期。进一步引入近邻跃迁时，该物理特性依然稳定，仅会微调自旋关联或电荷缺陷运动学。我们得出结论，正是格林函数零点的色散编码了强关联产生的有序物理特性。
英文摘要
While correlated insulators are devoid of low-energy quasiparticle poles, their Green functions retain clean momentum structure through zeros. However, precisely what zeros imply is not clear. By studying the extended Hubbard model both analytically and numerically, we establish a new paradigm for strongly correlated matter: the dispersion of Green function zeros is determined by both microscopic spin-spin correlations and defect kinematics. In fact, we find that the dispersion changes discontinuously across the transition between the Mott and the checkerboard charge-density wave phases as is expected for a first-order transition. This physics is robust to the inclusion of further neighbor hopping which simply fine tunes the spin-correlation or charge-defect kinematics. We conclude that it is the {\it dispersion} of the Green-function zeros that encode the physics of ordering resultant from the strong correlations.
