Quantum Anomalous Hall Phase Stabilized via Realistic Interactions on a Kagome Lattice

Abstract

We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we demonstrate an interaction driven quantum anomalous Hall effect by employing exact diagonalization and density-matrix renormalization group methods. The time-reversal symmetry is broken spontaneously by forming loop currents that exhibit long-range correlation. Quantized Hall conductance corresponding to Chern number of $\pm 1$ is obtained by measuring the pumped charge through inserting flux in a cylinder geometry. We find that the energy gap, which topologically protects the emerging ground states, can be enhanced remarkably by a moderate $V_2<V_1$ via calculating the spectrum and charge excitation gaps, which highlights the experimentally feasible scheme of realizing interaction driven topological phase by spatially decaying interactions on topologically trivial lattice models.

arXiv comment5 pages, 4 figures

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• Interplay of local order and topology in the extended Haldane-Hubbard model
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Quantum Anomalous Hall Effect by Coupling Heavy Atomic Layers with CrI${}_3$
• Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
• Quantum Phases of Kagome Electron System with Half-Filled Flat Bands
• Soluble Fermionic Quantum Critical Point in Two Dimensions
• Nonreciprocal phonons in PT-symmetric antiferromagnet
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