Exciton broadening and band renormalization due to Dexter-like intervalley coupling
            
              
                
                
                
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  I. Bernal-Villamil,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  G. Berghäuser,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  M. Selig,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  I. Niehues,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  R. Schmidt,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  R. Schneider,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  P. Tonndorf,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                      
                      
                      
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  P. Erhart,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  S. M. de Vasconcellos,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  R. Bratschitsch,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  A. Knorr,
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  
                  
                
                  
                  
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                    
                  
                  and
                  E. Malic
                
              
              
2D Materials 5,   10761
                (2018)
              
              
              
doi: 10.1088/2053-1583/aaaa8b
              
              
              
            
          
        
        A remarkable property of atomically thin transition metal dichalcogenides (TMDs) is the possibility to selectively address single valleys by circularly polarized light. In the context of technological applications, it is very important to understand possible intervalley coupling mechanisms. Here, we show how the Dexter-like intervalley coupling mixes A and B states from opposite valleys leading to a significant broadening γB(1s) of the B1s exciton. The effect is much more pronounced in tungsten-based TMDs, where the coupling excitonic states are quasi-resonant. We calculate a ratio γB(1s)/γA(1s)≈4.0 , which is in good agreement with the experimentally measured value of 3.9±0.7. In addition to the broadening effect, the Dexter-like intervalley coupling also leads to a considerable energy renormalization resulting in an increased energetic distance between A1s and B1s states.