Giant Anomalous Hall Effect due to Double-Degenerate Quasi Flat Bands

Abstract

We propose a novel approach to achieve giant AHE in materials with flat bands (FBs). FBs are accompanied by small electronic bandwidths, which consequently increases the momentum separation ($K$) within pair of Weyl points and thus the integrated Berry curvature. Starting from a simple model with a single pair of Weyl nodes, we demonstrated the increase of $K$ and AHE by decreasing bandwidth. It is further expanded to a realistic pyrochlore lattice model with characteristic double degenerated FBs, where we discovered a giant AHE while maximizing the $K$ with nearly vanishing band dispersion of FBs. We identify that such model system can be realized in both pyrochlore and spinel compounds based on first-principles calculations, validating our theoretical model and providing a feasible platform for experimental exploration.

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• Van Hove tuning of AV3Sb5 kagome metals under pressure and strain
• Giant anomalous Hall conductivity in the itinerant ferromagnet LaCrSb3 and the effect of f-electrons
• A combined First-principles and Boltzmann transport theory methodology for studying magnetotransport in magnetic materials
• Ferromagnetic phase of spinel compound MgV${}_2$O${}_4$ and its spintronics properties
• Magnetotransport induced by anomalous Hall effect
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Accessing quasi-flat $\text{f}$-bands to harvest large Berry curvature in NdGaSi
• Quantized Spin Hall Effect in Three-Dimensional Nodal-Ring Semimetal: Geometric Scaling and Symmetry-Engineered Spin Response