Non-centrosymmetric topological phase probed by Nonlinear Hall effect

Abstract The non-centrosymmetric topological material has attracted intense attention due to its superior characters as compared to the centrosymmetric one. Whereas, probing the local quantum geometry in non-centrosymmetric topological material remains challenging. The nonlinear Hall effect just provides an ideal tool to investigate the local quantum geometry. Here, we report a non-centrosymmetric topological phase in ZrTe5, probed by the nonlinear Hall (NLH) effect. The angle-resolved and temperature-dependent NLH measurement reveals the inversion and ab-plane mirror symmetries breaking under 30 K, consistent with our theoretical calculation. Our findings identify a new non-centrosymmetric phase of ZrTe5 and provide a platform to probe and control local quantum geometry via crystal symmetries.