Temperature effect of the bound magnetopolaron on the bandgap in monolayer graphene

Temperature effect of the bound magnetopolaron on the bandgap are discussed in monolayer graphene (MG). The Lee-Low-Pine unitary variational method and linear-combination operator are used to derive the average number of acoustic phonons of ground state and the energy gap of MG. We used quantum statistical theory to study the temperature effect of the bound magnetopolaron on the bandgap in MG. The relationships of the mean number of the acoustic phonons versus the temperature, cut-off wave number (CW), the magnetic field strength are simulated, and the energy gap (EG) of the bound magnetopolaron has a linear relationship with the temperature, the CW, the magnetic field strength, and the Coulomb bound parameter.