Quantum melting of charge ordered states in Transition Metal Dichalcogenide moire systems

TMD moire systems form a platform for rich interplays between geometric frustration, strong correlation, and quantum fluctuation. Recent experiments  [1]  at half band filling presented a tantalizing observation of continuous metal-insulator transition (MIT) driven by quantum fluctuation instead of disorder. Motivated by these experiments, we have recently carried out DMRG calculations at 1/2 filling [2] and found a chiral spin liquid phase accompanies the MIT. Here, we turn to fractional filling away from half-filling, where one expects classical charge-ordered states driven by strong further-range interactions[3]. Specifically, we study the quantum melting of the charge-ordered states at 1/3 fillings under the interplay of the strong correlations and the quantum fluctuations using DMRG. 

 

[1] Li, T., Jiang, S., Li, L. et al. Nature 597, 350–354 (2021) .

[2] Zhou, Yiqing, D. N. Sheng, and Eun-Ah Kim.  arXiv:2105.07008 (2021).

[3] Xu, Y., Liu, S., Rhodes, D.A. et al. Nature 587, 214–218 (2020); Regan, E.C., Wang, D., Jin, C. et al. Nature 579, 359–363 (2020).