Topological Varma Superfluid in Optical Lattices

Year: 2016

Authors: Di Liberto M., Hemmerich A., Smith CM.

Autors Affiliation: Univ Utrecht, Ctr Extreme Matter & Emergent Phenomena, Inst Theoret Phys, Leuvenlaan 4, NL-3584 CE Utrecht, Netherlands;‎ Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy;‎ Univ Trento, Dipartimento Fis, I-38123 Povo, Italy;‎ Univ Hamburg, Inst Laser Phys, LuruperChaussee 149, D-22761 Hamburg, Germany;‎ Hamburg Ctr Ultrafast Imaging, LuruperChaussee 149, D-22761 Hamburg, Germany;‎ Zhejiang Univ Technol, Wilczek Quantum Ctr, Hangzhou 310023, Zhejiang, Peoples R China

Abstract: Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While noninteracting fermionic topological insulators are well established by now and have been classified according to a tenfold scheme, the possible realization of topological states for bosons has not been explored much yet. Furthermore, the role of interactions is far from being understood. Here, we show that a topological state of matter exclusively driven by interactions may occur in the p band of a Lieb optical lattice filled with ultracold bosons. The single-particle spectrum of the system displays a remarkable parabolic band-touching point, with both bands exhibiting non-negative curvature. Although the system is neither topological at the single-particle level nor for the interacting ground state, on-site interactions induce an anomalous Hall effect for the excitations, carrying a nonzero Chern number. Our work introduces an experimentally realistic strategy for the formation of interaction-driven topological states of bosons.


Volume: 117 (16)      Pages from: 163001-1  to: 163001-6

DOI: 10.1103/PhysRevLett.117.163001

Citations: 37
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