Investigation of Pair Density Wave in UTe₂ under Vector Magnetic Field

Intertwined electronic orders are a hallmark of strongly correlated quantum materials, where different phases emerge from the same microscopic interactions rather than simple phase competition. Among these, the pair-density-wave (PDW) state represents a key manifestation of such coupling. In UTe₂, an unusual incommensurate charge-density-wave (CDW) order (q_i) has been observed to melt near H_c2, suggesting a PDW-driven mechanism for the charge modulation. Using vector-field scanning tunneling microscopy (STM), we uncover another set of CDW modulations (c_i) coexisting with q_i, characterized by half wave vectors |c_i| = 1/2 |q_i|. Further measurements reveal that these modulations exhibit distinct onset temperatures and anisotropic magnetic-field responses. The  c_i component is suppressed around T_c  = 2.1 K, suggesting that it couples to the uniform superconducting condensate, while q_i persists up to 4.8 K. Above T_c, the q_i component is selectively suppressed by field following the hierarchy H^b* > H^c* > H^a, in agreement with the anisotropy of H_c2 along different crystallographic axes. Our results provide microscopic evidence for intertwined superconductivity, CDW, and PDW orders in UTe₂.