利用线性组合算符和LLP变分相结合的方法,考虑纵光学(LO)声子色散, 研究了声子色散对单层石墨烯弱耦合极化子性质的影响。在抛物色散近似下导出了单层石墨烯弱耦合极化子 基态能和零朗道能级的分裂能随声子色散系数的变化关系。数值计算结果表明基态能量随德拜截止波数增大 而增大,零朗道能级的分裂能级差随声子色散系数的增大而减小。

The influence of the phonon dispersion on the weak coupling polaron in monolayer graphene is investigated by using the linear combination operator and LLP unitary transformation method and taking account of the longitudinal optical (LO) phonons dispersion. The ground state energy and the zero-Landau level splitting energy in monolayer graphene as a function of the coefficient of the phonon dispersion are obtained in a parabolic dispersion approximation. Numerical calculation results show that the ground state energy increases with the increasing of Debye cut-off wave number, and the zero-Landau level splitting energy decreases with the increasing of phonon dispersion coefficient.