Effect of temperature on the first excited state splitting energy of the impurity magneto acoustic polaron in monolayer graphene

Abstract

The temperature properties of the first excited state (FES) splitting energy (FESSE) of a strongly-coupled impurity magneto acoustic polaron (IMAP) in monolayer graphene is studied by using the linear combination operator method, unitary transformation and quantum statistical theory. The expression of the FESSE versus the temperature, the Coulombic impurity potential strength (CIPS), the Debye cutoff wave number (DCWN) and the magnetitude of the magnetic field strength (MMFS) has been derived. Numerical calculations shown that ① the FES energy curves can be divided into two curves, positive and negative; ② the FESSE is a decreasing function of the CIPS; ③ the FESSE increases with the decrease of temperature, but increases with increasing the MMFS; ④ the smaller the DCWN, the greater the FESSE.