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.

中文翻译：

---

温度对单层石墨烯中杂质磁声极化子的第一激发态分裂能的影响

利用线性组合算子方法，ary变换和量子统计理论研究了单层石墨烯中强耦合杂质磁极化子（IMAP）的第一激发态（FES）分裂能（FESSE）的温度特性。导出了FESSE与温度，库仑杂质势强度（CIPS），德拜截止波数（DCWN）和磁场强度的磁强度（MMFS）的表达式。数值计算表明：①FES能量曲线可分为正和负两个曲线；②FESSE是CIPS的递减功能；③FESSE随着温度的降低而增加，但随着MMFS的增加而增加；④DCWN越小，FESSE越大。