The Temperature Effect On The Steady Electromagnetic Field In Cylindrical Quantum Dots Polaron

The system of the electron-bulk longitudinal optical (LO) phonon interaction in a cylindrical quautum dot at finite temperatures in the presence of static electric and magnetic fields parallel to the growth axis has been studied by the method of the generalized linear comination operator and unitary transformation and variation wave function. The explicit expression of the polaron vibrational frequency, energy and exited energies have been obtained as a function of the cylindrical height, the restricted strength, the electron-LO phonon coupling constant, the temperature of the lattice, and the electric and magnetic fields intensity as well.Numerical calculation for ZnS quantum dot with the electron-LO phonon weak-coupling indicates that polaron energy and the gap beteen two adjacent energies in the growth direction increases with decreasing electric field intensity. This will mean that the outer electric field weakens quantum effect but increases transition probability of electron. And the outer electric field reduces speed rate of polaron energy increasing with increasing temperature too. While the polaron vibrational frequency, energy and the gap beteen two adjacent energies in the xoy plane increase in different degree with increasing magnetic field intensity and increasing temperature. This result shows that the outer magnetic field intensity and temperature will enlarge the polar of the quantum dot and will enhance quantum effect.But there is a little different in the RbCl quantum dot with the electron-LO phonon strong-coupling in which only in zero temperature the result is the same as that discussed above. But the obvious difference is that in finite temperature polaron energy increases with decreasing magnetic field intensity and that the outer electric field accelerates speed rate of polaron energy increasing with increasing temperature.