论文标题

骨髓性手性超流体中的固有异常大厅效应

Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid

论文作者

Huang, Guan-Hua, Xu, Zhi-Fang, Wu, Zhigang

论文摘要

异常的大厅效应对对许多电子拓扑材料的理解产生了深远的影响,但在其骨式对应物中所研究的效果要少得多。我们预测,在最近实现的玻色子性手性超氟中存在固有的异常效应,即在2D六角硼硝酸盐光学晶格中的$ P $ band Bose-Einstein冷凝物[X。X。 Wang等人,https://www.nature.com/articles/s41586-021-03702-0自然(伦敦)596,227(2021)]。我们在多轨玻色纸模型中评估了频率依赖性的霍尔电导率,该模型准确地捕获了真实的实验系统。我们发现,在高频限制中,霍尔电导率取决于居住在sublattice的$ s $ orbital上的有限环电流相关性,后者是系统手性的定义特征。在相反的极限中,直流霍尔电导率可以将其起源追溯到冷凝势下的非相互作用带浆果曲率,尽管原子相互作用的贡献可能很重要。我们讨论了可用的实验探针,以观察零和有限频率的固有异常效应。

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a recently realized bosonic chiral superfluid, a $p$-band Bose-Einstein condensate in a 2D hexagonal boron nitride optical lattice [X. Wang et al., https://www.nature.com/articles/s41586-021-03702-0 Nature (London) 596, 227 (2021)]. We evaluate the frequency-dependent Hall conductivity within a multi-orbital Bose-Hubbard model that accurately captures the real experimental system. We find that in the high frequency limit, the Hall conductivity is determined by finite loop current correlations on the $s$-orbital residing sublattice, the latter a defining feature of the system's chirality. In the opposite limit, the dc Hall conductivity can trace its origin back to the non-interacting band Berry curvature at the condensation momentum, although the contribution from atomic interactions can be significant. We discuss available experimental probes to observe this intrinsic anomalous Hall effect at both zero and finite frequencies.

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