  Recently, the giant intrinsic anomalous Hall effect (AHE) has been observed
in the materials with kagome lattice. In this study, we systematically
investigate the influence of high pressure on the AHE in the ferromagnet
LiMn6Sn6 with clean Mn kagome lattice. Our in-situ high-pressure Raman
spectroscopy indicates that the crystal structure of LiMn6Sn6 maintains a
hexagonal phase under high pressures up to 8.51 GPa. The anomalous Hall
conductivity (AHC) {\sigma}xyA remains around 150 {\Omega}-1 cm-1, dominated by
the intrinsic mechanism. Combined with theoretical calculations, our results
indicate that the stable AHE under pressure in LiMn6Sn6 originates from the
robust electronic and magnetic structure.
