Charge orders with distinct magnetic response in a prototypical kagome superconductor LaRu_3Si_2

The kagome lattice has emerged as a promising platform for hosting unconventional chiral charge order at high temperatures. Notably, in LaRu_3Si_2, a room-temperature charge-ordered state with a propagation vector of (1/4, 0, 0) has been recently identified. However, understanding the interplay between this charge order and superconductivity, particularly with respect to time-reversal-symmetry breaking, remains elusive. In this study, we employ single crystal X-ray diffraction, magnetotransport, and muon-spin rotation experiments to investigate the charge order and its electronic and magnetic responses in LaRu_3Si_2 across a wide temperature range down to the superconducting state. Our findings reveal the emergence of a charge order with a propagation vector of (1/6, 0, 0) below T_ CO,2 ≃ 80 K, coexisting with the previously identified room-temperature primary charge order (1/4, 0, 0). The primary charge-ordered state exhibits zero magnetoresistance. In contrast, the appearance of the secondary charge order at T_ CO,2 is accompanied by a notable magnetoresistance response and a pronounced temperature-dependent Hall effect, which experiences a sign reversal, switching from positive to negative below T^* ≃ 35 K. Intriguingly, we observe an enhancement in the internal field width sensed by the muon ensemble below T^* ≃ 35 K. Moreover, the muon spin relaxation rate exhibits a substantial increase upon the application of an external magnetic field below T_ CO,2 ≃ 80 K. Our results highlight the coexistence of two distinct types of charge order in LaRu_3Si_2 within the correlated kagome lattice, namely a non-magnetic charge order (1/4, 0, 0) below T_ co,1 ≃ 400 K and a time-reversal-symmetry-breaking charge order below T_ CO,2.