We calculate analytically the charge density ${\rho }_{\text{ind}}\left(\mathit{r}\right)$ at small distances induced by a Coulomb impurity in two-dimensional transition-metal dichalcogenides. The calculations were performed exactly in the coupling constant. We found the first three leading terms of the charge-density asymptotics at small distances. Using this result, we demonstrate that the impurity with charge number $Z=1$ remains subcritical at any value of the coupling constant, whereas impurities with higher charge number could become supercritical at certain coupling constant values. Such a behavior is similar to that in graphene.

Close

PrevNext

View figure in article

• Strong interaction
• 2-dimensional systems
• Transition metal dichalcogenides
• Nonperturbative methods