Fig. 5. Static magnetic structure factor of TMGO at finite temperatures.

a The temperature dependence of the structure factor S(q) at M and K points indicated in b. The S_M value enhances anomalously in the intermediate temperatures, whereas the K-point peaks become significantly strengthened, representing the full establishment of the three-sublattice clock order at T = 0.57 K as shown in b. c Shows the S(q) contour at T = 2.2 K, where a “ghost” peak appears at M, representing short-range stripy correlation. In d, as T further enhances to 4.5 K, the K peak clearly weakens and spreads out and the M ghost peak becomes virtually invisible.