Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid

Abstract

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.

6 pages, 4 figures

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Cited by in corpus (7)

• Quantum geometry of bosonic Bogoliubov quasiparticles
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
• Non-perturbative dynamics of flat-band systems with correlated disorder
• On the angular dependence of anomalous Hall current
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Orbital Optical Raman Lattice