论文标题

拓扑不同的原子绝缘子

Topologically distinct atomic insulators

论文作者

Das, Sanjib Kumar, Manna, Sourav, Roy, Bitan

论文摘要

量子固体的拓扑分类通常(如果不是总是)将所有微不足道的原子或正常绝缘子(NIS)分组为相同的无特征家族。正如我们在这里所说的那样,不一定总是这种情况。特别是,当电子晶体的全球阶段图置于拓扑绝缘子时,带有频段反转,以各种时间不变的矩ni} _ {\ rm min} = {\ bf k}^{\ rm ti} _ {\ rm inv} $。在这样的系统中,一旦拓扑超导体来自NIS,Bogoliubov de Gennes带的反转发生在$ {\ bf k}^{\ rm bdg} _ {\ rm bdg} _ {\ rm Inv} = {\ bf k}^{\ bf k}^{\ rm ni} _ =我们展示了该提案(可能是一般性的)提案,以实现二维时间反转对称性绝缘体。然后,对配对状态内的位错晶格缺陷的量化量的明显量化量霍尔电导率(与$ {\ bf k}^{\ rm bdg} _ {\ rm bdg} _ {\ rm inv} $或$ {\ bf k}^{\ bf k}^{\ rm ni} _ {\ rm ni} _ {\ rm ni} _ {

Topological classification of quantum solids often (if not always) groups all trivial atomic or normal insulators (NIs) into the same featureless family. As we argue here, this is not necessarily the case always. In particular, when the global phase diagram of electronic crystals harbors topological insulators with the band inversion at various time-reversal invariant momenta ${\bf K}^{\rm TI}_{\rm inv}$ in the Brillouin zone, their proximal NIs display noninverted band-gap minima at ${\bf K}^{\rm NI}_{\rm min}={\bf K}^{\rm TI}_{\rm inv}$. In such systems, once topological superconductors nucleate from NIs, the inversion of the Bogoliubov de Gennes bands takes place at ${\bf K}^{\rm BdG}_{\rm inv}={\bf K}^{\rm NI}_{\rm min}$, inheriting from the parent state. We showcase this (possibly general) proposal for two-dimensional time-reversal symmetry-breaking insulators. Then distinct quantized thermal Hall conductivity and responses to dislocation lattice defects inside the paired states (tied with ${\bf K}^{\rm BdG}_{\rm inv}$ or ${\bf K}^{\rm NI}_{\rm min}$), in turn unambiguously identify different parent atomic NIs.

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