TABLE I.

Correlated insulating states observed in twisted-TMD structures.

Heterostructuren of correlated insulating stateAssignment of correlated insulating state
tWSe2 (θ = 4°, 4.2°, 4.5°, 4.9°, 5.1°) n = −1n0 for all521  Mott insulating phase 
n = −2n0 for 4.2° and 4.5°(Ref. 528) Full filling of the moiré subband 
WSe2/WS2 (θ ≈ 0°, ≈60°) n = +1n0,529–531 −1n0524,528–530 Mott insulating state524,528,529,531 with AFM Curie–Weiss behavior524  
n = −0.6n0524  Possible phase transition from AFM to weak FM state524  
n =1/6n0530  Stripe phase530  
n = +1/4n0,529–531 −1/4n0529,530 Generalized Wigner crystal states,529 triangular phase,530 stripe crystal state531  
n = +1/3n0,529–531 −1/3n0528–530  Generalized Wigner crystal states,528,529 triangular phase,530 isotropic electron crystals531  
n = +2/5n0,529,531 −2/5n0529  Close to CDW state529 stripe crystal state531  
n = +1/2n0529–531  Close to generalized Wigner crystal states,529 stripe phase,530 stripe crystal531  
n = −1/2n0529,530 Stripe phase530  
n = +5/9n0530   
n = +3/5n0,529 −3/5n0529  Stripe crystal state529  
n =2/3n0,529–531 −2/3n0528–530  Generalized Wigner crystal state,528,529 isotropic electron crystals531  
n = +3/4n0529,530 Close to generalized Wigner crystal states529  
n = −3/4n0529,530 Close to CDW state529  
n = −7/9n0530   
n = −5/6n0530   
n = +6/7n0530   
n = −8/9n0530   
n = +4/3n0,529 −4/3n0529   
n = +3/2n0,529,530 −3/2n0530   
n = +5/3n0529   
n = +2n0,529,530 −2n0524,529 Complete filling of conduction miniband529,530 
Heterostructuren of correlated insulating stateAssignment of correlated insulating state
tWSe2 (θ = 4°, 4.2°, 4.5°, 4.9°, 5.1°) n = −1n0 for all521  Mott insulating phase 
n = −2n0 for 4.2° and 4.5°(Ref. 528) Full filling of the moiré subband 
WSe2/WS2 (θ ≈ 0°, ≈60°) n = +1n0,529–531 −1n0524,528–530 Mott insulating state524,528,529,531 with AFM Curie–Weiss behavior524  
n = −0.6n0524  Possible phase transition from AFM to weak FM state524  
n =1/6n0530  Stripe phase530  
n = +1/4n0,529–531 −1/4n0529,530 Generalized Wigner crystal states,529 triangular phase,530 stripe crystal state531  
n = +1/3n0,529–531 −1/3n0528–530  Generalized Wigner crystal states,528,529 triangular phase,530 isotropic electron crystals531  
n = +2/5n0,529,531 −2/5n0529  Close to CDW state529 stripe crystal state531  
n = +1/2n0529–531  Close to generalized Wigner crystal states,529 stripe phase,530 stripe crystal531  
n = −1/2n0529,530 Stripe phase530  
n = +5/9n0530   
n = +3/5n0,529 −3/5n0529  Stripe crystal state529  
n =2/3n0,529–531 −2/3n0528–530  Generalized Wigner crystal state,528,529 isotropic electron crystals531  
n = +3/4n0529,530 Close to generalized Wigner crystal states529  
n = −3/4n0529,530 Close to CDW state529  
n = −7/9n0530   
n = −5/6n0530   
n = +6/7n0530   
n = −8/9n0530   
n = +4/3n0,529 −4/3n0529   
n = +3/2n0,529,530 −3/2n0530   
n = +5/3n0529   
n = +2n0,529,530 −2n0524,529 Complete filling of conduction miniband529,530 
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