▎ 摘　　要

The electron- acoustic phonon interaction in monolayer graphene is studied in this paper. The interaction Hamiltonian of the electron and acoustic phonon in monolayer graphene is derived. The self-trapping transition of the acoustic polaron in monolayer graphene is investigated by using the variation of the ground-state energy of the acoustic polaron based on the electron-acoustic phonon coupling constant. It is shown that the electron near the Dirac point can not form normal polaron and the self-trapping transition of the acoustic polaron can not realized in this point of the monolayer graphene. The results show that outside the Dirac point, the self-trapping of acoustic polaron is consistent with the theory in ideal two-dimensional systems.