标题： 正交金刚石晶格化合物中的拓扑强关联相 显示英文标题

标题： Topological strongly correlated phases in orthorhombic diamond lattice compounds

摘要： 我们研究了与(ET)Ag$_4$(CN)$_5$分子化合物相关的正交菱形晶格中的莫特转变。非相互作用相包括节点线、狄拉克和/或外尔半金属，这取决于自旋-轨道耦合的强度以及晶格二聚化的程度。基于一种扩展的孤子转子平均场理论，该理论考虑了磁序，我们发现了一个从半金属到顺磁莫特绝缘体的转变，临界值为$U_c$，在更大的库仑排斥下变为奈尔有序，即$U_{cm}>U_{c}$。结果得到的中间莫特相是一个$U(1)$量子自旋液体（QSL），其自旋子保留了附近半金属相的节点结构。对这一莫特相中格林函数的分析表明，零点遵循自旋子带色散，携带拓扑性，而极点描述了哈伯德带。我们的结果与最近在(ET)Ag$_4$(CN)$_5$分子化合物中的观测结果相关，在这些化合物中，环境压力下的奈尔有序莫特绝缘体逐渐被抑制，直到在更高压力下出现半金属行为。 显示英文摘要

摘要： We explore the Mott transition in orthorhombic diamond lattices relevant to (ET)Ag$_4$(CN)$_5$ molecular compounds. The non-interacting phases include nodal line, Dirac and/or Weyl semimetals depending on the strength of spin-orbit coupling and the degree of dimerization of the lattice. Based on an extension of slave-rotor mean-field theory which accounts for magnetic order, we find a transition from a semimetal to a paramagnetic Mott insulator at a critical $U_c$ which becomes N\'eel ordered at a larger Coulomb repulsion, $U_{cm}>U_{c}$. The resulting intermediate Mott phase is a $U(1)$ quantum spin liquid (QSL) consisting on spinon preserving the nodal structure of the nearby semimetallic phases. An analysis of the Green's function in this Mott phase shows how the zeros follow the spinon band dispersions carrying the topology while the poles describe the Hubbard bands. Our results are relevant to recent observations in (ET)Ag$_4$(CN)$_5$ molecular compounds in which the ambient pressure N\'eel ordered Mott insulator is gradually suppressed until semimetallic behavior arises at larger pressures.