Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice

Abstract

Ultracold atoms in optical lattices serve as a tool to model different physical phenomena appearing originally in condensed matter. To study magnetic phenomena one needs to engineer synthetic fields as atoms are neutral. Appropriately shaped optical potentials force atoms to mimic charged particles moving in a given field. We present the realization of artificial gauge fields for the observation of anomalous Hall effect. Two species of attractively interacting ultracold fermions are considered to be trapped in a shaken two dimensional triangular lattice. A combination of interaction induced tunneling and shaking can result in an emergent Dice lattice. In such a lattice the staggered synthetic magnetic flux appears and it can be controlled with external parameters. The obtained synthetic fields are non-Abelian. Depending on the tuning of the staggered flux we can obtain either anomalous Hall effect or its quantized version. Our results are reminiscent of Anomalous Hall conductivity in spin-orbit coupled ferromagnets.

arXiv commentmodified version

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• Atomic quantum gases in periodically driven optical lattices
• At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited
• Physics of higher orbital bands in optical lattices: a review
• Toolbox for Abelian lattice gauge theories with synthetic matter
• Generating controllable type-II Weyl points via periodic driving
• Solitons in one-dimensional lattices with a flat band
• Phase controlled metal-insulator transition in multi-leg quasiperiodic optical lattices
• Topological phases of lattice bosons with a dynamical gauge field
• Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach