Abstract
The properties of the magnetopolaron in monolayer graphene are studied. The energies of the ground and first excited states of the monolayer graphene are obtained by linear combination operator and the conventional Lee–Low–Pine unitary transformation. Numerical calculations indicate that the energies will split into two branches, the ground splitting energy of polaron near the Dirac point will increase with increasing magnetic field strength and the Debye cut-off wavenumber (DCOW), and the first excited state energy will also increase with increasing magnetic field strength and the logarithm of the DCOWs.
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