October 5, 2023
      
                  
        
  Author(s)
  Marlou  Slot,   Yulia  Maximenko,   Paul M.  Haney,   Sungmin  Kim,   Daniel  Walkup,   Evgheni  Strelcov,   En-Min  Shih,   Dilek  Yildiz,   Steven R.  Blankenship,   Kenji  Watanabe,   Takashi  Taniguchi,   Yafis  Barlas,   Nikolai  Zhitenev,   Fereshte  Ghahari Kermani,   Joseph A.  Stroscio
 
       
            
    
    
        Topological properties that underlie the rich emergent phases of moiré quantum matter (MQM) result from the eigenstate geometry of the moiré Hamiltonian. The eigenstate geometry involves the Berry curvature and the less known quantum metric. Most studies