Berry Curvature of interacting bosons in a honeycomb lattice

Abstract

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of the honeycomb lattice results in a non-vanishing Berry curvature for the band structure of the single-particle excitations of the system. This Berry curvature induces an anomalous Hall effect. It is seen by studying the time evolution of a wavepacket, namely a superfluid ground state in a harmonic trap, subjected either to a constant force (Bloch oscillations) or to a sudden shift of the trap center.

10 pages, 11 figures

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Cited by in corpus (10)

• Topological Photonics
• Topological Varma superfluid in optical lattices
• Granular Superconductor in a honeycomb lattice as a realization of Bosonic Dirac Material
• Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
• Measuring the topological phase transition via the single-particle density matrix
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Bosonic edge states in gapped honeycomb lattices
• Quantum Anomalous Valley Hall Effect for Bosons
• Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background