Pristine materials seldom appear as we want them. Instead, their appeal typically comes from suitable modifications. Proximity effects are a versatile method to transform a given material by acquiring the properties of its neighbors and becoming, superconducting, magnetic, valley-polarized, or topologically nontrivial [1-3]. This approach is particularly suitable for 2D materials in which the length of the proximity effects exceeds their thickness [1,2]. Advances in (quantum) spin and anomalous Hall effect, as well as (anomalous) valley Hall effect suggest the electronic degrees of freedom (spin, charge and valley) can be used as different information carriers . The realization of multiple Hall effects in a single material provides a fascinating opportunity to manipulate the implementation of such information. Here we predict the realization and manipulation of multiple Hall effects in the proximitized 2D materials based on first-principles calculations and tight binding models. Harnessing such Hall effects associated with multiple degrees of freedom of electrons could enable novel applications in electronics, spintronics, and valleytronics.
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