Similarly, we attempted to compare the band structures and density of states (DOS) plots between the SOC and NSOC cases. Notably, we found that both the band structures and DOS plots exhibited a high degree of similarity between the two cases, with very minor deviations. As an example, we have provided the comparison for 1T-MoS 2 below. Additionally, we examined the phonon dispersions for the 1T-MoSe 2 system in the SOC case. The plot reveals the presence of soft phonon modes along the G-M and G-A directions, indicating the occurrence of lattice instabilities. By considering these comparisons and analyses, we gain valuable insights into the effects of SOC on the electronic and vibrational properties of TMDC materials. These findings contribute to our understanding of the intricate interplay between SOC and other factors, aiding in the design and optimization of TMDC-based systems for various applications.