强耦合半无限极性晶体中磁极化子的激发能量

采用线性组合算符和幺正变换,利用变分法计算了多原子半无限极性晶体中由电子和光学声子强耦合相互作用所产生的磁极化子的第一激发能量及平均声子数,并通过适当的数值计算图示了它们与磁场的关系。结果表明:在不同的磁场条件下,电子无限接近晶体表面和电子处于晶体深处时,磁极化子的第一激发能量和平均声子数都有所不同。

Excitation Energy of Strong-coupling Magnetopolaron in Polyatomic Semi-infinite Polar Crystals

The first excitation energy and the mean number of phonon of the strong-coupling magetopolarons in the polyatomic semi-infinite polar crystals were studied through a linear-combination operator and unitary transformation.When the electron is approaching infinitely to the surface of crystals,the results show that when the magnetic field is strong,the first excitation energy of the magnetopolaron is only twice the Landau ground state energy,and the mean number of phonon is equal to the number of LO phonons and that of SO phonons that each one has coupling with the electron;and when the magnetic field is weak,the first excitation energy of the magnetopolaron is other four sections nothing the Landau ground state energy,and the mean number of phonon is equal to the contributions of LO phonons and that of different LO phonons that each one has coupling with the electron and magnetic field.When the electron is situated in the depth of crystals,the results show that when the magnetic field is strong,the first excitation energy of the magnetopolaron is equal to the twice Landau ground state energy and the double add energy of LO phonons that each one has coupling with the electron and magnetic field,and the mean number of phonon is only the contributions of LO phonons with its frequency and the magnetic field that each one has coupling with the electron;and when the magnetic field is weak,the first excitation energy of the magnetopolaron is other six sections nothing the Landau ground state energy,and the mean number of phonon is the double contributions of LO phonons and that of different LO phonons that each one has coupling with the electron.