Abstract

The anomalous Hall Effect (AHE) is one of the most fundamental phenomena related to band topology and holds great potential for technological applications. A promising approach to search for large AHE is to begin with a magnetic Weyl semimetal (WSM) and manipulate the Weyl nodes in the momentum-energy $(k\ensuremath{-}E)$ space. However, controlling the Weyl points is generally difficult because Weyl nodes can robustly exist at a generic momentum. Here we realize this approach in an experimentally confirmed ferromagnetic WSM ${\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{\mathrm{S}}_{2}$ via tension. Our calculations systematically demonstrate that the tension applied to ${\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{\mathrm{S}}_{2}$ can drive the movement and annihilation of Weyl nodes in the $k\ensuremath{-}E$ space, triggering a high-Chern-number three-dimensional quantum AHE topological phase transition and thus greatly boosting the AHE. We also found a rare way of annihilation of Weyl nodes occurring near the Brillouin zone boundary. Our work offers a promising way to boost the AHE and sheds light on the search for three-dimensional quantum anomalous Hall insulators.

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