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Nonreciprocal (NR) charge transport in quantum materials has attractedenormous interest since it offers an avenue to investigate quantum symmetryrelated physics and holds many prospective applications such as rectificationand photodetection over a wide range of frequencies. The NR transport reportedto date occurs along the longitudinal direction with the NR resistance limitedto a few percent of the ohmic resistance. Here we report a transversenonreciprocal transport phenomenon with divergent nonreciprocity - colossal NRHall effect. This is revealed in direct current (DC) measurements on themicroscale Hall devices made of the Pt wires deposited by focused ion beam(FIB) on Si substrates and the Weyl semimetal NbP with FIB-deposited Ptelectrodes at 0 magnetic field. When a DC is applied along the x-axis of thedevices Ix, it generates a voltage along the y-axis Vy near room temperature,with Vy quadratically scaling with Ix. The transverse resistance, which shows asign reversal upon switching the current direction, results from a colossalextrinsic nonlinear Hall effect (NLHE) rooted in the disorder scatterings inthe Pt wires. While NbP was not found to show NLHE, the NLHE generated in thePt electrodes can be transmitted to the NbP Hall devices, which yields asurprisingly large nonlinear anomalous Hall effect in NbP with the Hall angle(${\Theta_H}$) far exceeding the record value of the anomalous Hall angle ofmagnetic conductors at room temperature. Furthermore, we find such a strongNLHE can lead to broadband frequency mixing, with the frequency spectrum of theHall voltage including 2nd-harmonic generation, sum & difference frequencygenerations, and other multiple wave mixing components. These results not onlydemonstrate the concept of the NRHE for the first time but also pave the wayfor exploring NLHE's applications in Thz communication, imaging, and energyharvesting.

Colossal nonreciprocal Hall effect and broadband frequency mixing due to a room temperature nonlinear Hall effect