Tuning the Hall response of a non-collinear antiferromagnet with spin-transfer torques

The kagome lattice antiferromagnets Mn$_3$X(= Sn, Ge) have a non-collinear 120$^\circ$ ordered ground state, which engenders a strong anomalous Hall response. It has been shown that this response is linked to the magnetic order and can be manipulated through it. In particular, previous works have shown that uniaxial strain can be effectively used to manipulate the magnetic order and hence the anomalous Hall response by changing the local energy landscape. Here we use a combination of strain and spin-transfer torques to deterministically switch between states of different chirality and Hall response. Furthermore, we show that a similar manipulation of the strained sample can be obtained by an oscillating magnetic field, which is of potential interest in optical pulses.