Identifying materials hosting an excitonic insulator ground state has been one of the major pursuits in condensed matter physics in recent years.
Promising candidates in transition metal chalcogenide compounds (TMC), including $1T-\mathrm{TiSe_2}$, $\mathrm{Ta_2Pd_3Te_5}$, and $\mathrm{Ta_2NiSe_5}$, share a crucial common characteristic: their low-energy physics is governed by electrons in $d-$ orbitals subject to strong on-site Coulomb interactions.
In this work, we investigate spatially indirect exciton condensation in two-dimensional semimetals on triangular lattice. Using a combination of dynamical mean-field theory and the determinant quantum Monte Carlo method, we study two- and three-orbital Hubbard models incorporating strong on-site ($U$) and inter-orbital interactions ($V$). Our results demonstrate that on-site Hubbard $U$ can strongly suppress the condensation temperature $T_c$, an effect that is particularly pronounced at higher electron-hole pair densities. This behavior contrasts sharply with the case without on-site $U$, where $T_c$ grows with pair density at fixed $V$.
Moreover, we uncover competition among multiple electron-hole pairing channels in the three-orbital model, which also acts to suppress $T_c$ of exciton condensation. An orbital-selective electron-hole pairing state is identified. These findings may help explain the large discrepancy between strong binding-energy and relative low transition temperature for indirect excitons in TMCs materials, offering important insights for understanding and engineering exciton condensation in materials with strongly correlated $d-$ shell electrons.
Pr$_2$Ir$_2$O$_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
我们研究的能带结构拓扑结构和工程从本地的时刻和巡游电子的背景下，烧绿石铱酸盐之间的相互作用。对于金属铱酸盐Pr $_2$ Ir $_2$ O $_7$，Ir $5d$传导电子通过$f$ - $d$交换与Pr $4f$局域磁矩相互作用。当Ir电子形成Luttinger半金属时，Pr矩可以通过改变Ir和O的含量而被调谐到具有有限有序波矢量的有序自旋冰中，被称为“Melko-Hertog-Gingras”状态。我们指出，有序自旋冰的Pr本地矩产生的内部磁场，重建的能带结构的Luttinger半金属。除了广泛存在的Weyl节点，我们预测，磁平移的“Melko-Hertog-Gingras”状态的Pr矩保护狄拉克带接触在一定的时间反转不变动量的Ir传导电子。我们提出了磁场来控制Pr的磁结构，从而间接影响Ir电子的拓扑结构和其他性质。我们的预测可以立即在有序Pr $_2$ Ir $_2$ O $_7$样品中得到检验。我们希望我们的工作能激发详细的检查的能带结构，磁输运，和其他属性的Pr $_2$ Ir $_2$ O $_7$。
