▎ 摘　　要

The effects of a deformation potential on a magnetopolaron in monolayer graphene are investigated using the method of linear-combination operators and a simple unitary transformation based on the carrier-acoustic phonon coupling. We find that the splitting of the zero-energy Landau level occurs due to the magnetopolaron effect. The magnitude of splitting energy as functions of the magnetic field and the Debye cut-off wave number of acoustic phonon are discussed in the weak and strong coupling limit, respectively. The obtained results are meaningful for understanding the important role of carrier-phonon coupling in determining the fundamental properties of graphene.