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arXiv · 1506.03964

Berry Curvature of interacting bosons in a honeycomb lattice

Yun Li·Pinaki Sengupta·George G. Batrouni·Christian Miniatura·Benoît Grémaud
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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.

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Yun Li, Pinaki Sengupta, George G. Batrouni, Christian Miniatura, Benoît Grémaud. 2015-06-12. Berry Curvature of interacting bosons in a honeycomb lattice. https://doi.org/10.1103/physreva.92.043605

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