Tunable anomalous Hall transport in bulk and two-dimensional 1$T$-CrTe$_{2}$: A first-principles study
Si Li, Shan-Shan Wang, Bo Tai, Weikang Wu, Bin Xiang, Xian-Lei Sheng,, and Shengyuan A. Yang

TL;DR
This study uses first-principles calculations to explore the electronic, magnetic, and transport properties of 1$T$-CrTe$_{2}$, revealing tunable anomalous Hall effects in bulk and monolayer forms with potential for nanoscale devices.
Contribution
It demonstrates that 1$T$-CrTe$_{2}$ can be stable as a monolayer with high Curie temperature and shows how to tune its anomalous Hall effect by symmetry-breaking methods.
Findings
Monolayer 1$T$-CrTe$_{2}$ is an intrinsic ferromagnetic metal with high Curie temperature.
Both bulk and monolayer forms have vanishing anomalous Hall effect due to mirror symmetry.
Breaking mirror symmetry via magnetization direction or strain induces a sizable anomalous Hall conductivity.
Abstract
Layered materials with robust magnetic ordering have been attracting significant research interest. In recent experiments, a new layered material 1-CrTe has been synthesized and exhibits ferromagnetism above the room temperature. Here, based on first-principles calculations, we investigate the electronic, magnetic, and transport properties of 1-CrTe, both in the bulk and in the two-dimensional (2D) limit. We show that 1-CrTe can be stable in the monolayer form, and has a low exfoliation energy. The monolayer structure is an intrinsic ferromagnetic metal, which maintains a high Curie temperature above the room temperature. Particularly, we reveal interesting features in the anomalous Hall transport. We show that in the ground state, both bulk and monolayer 1-CrTe possess vanishing anomalous Hall effect, because the magnetization preserves one vertical…
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