The influence of phonon and temperature on properties of polaron in spherical quantum dot

The influence of phonon and temperature on properties of polaron in spherical quantum dot is studied by solving precisely the eigen-energy equation,LLP unitary transformation and variation method. Numerical calculations for GaAs spherical quantum dot indicate that the phonon effect leads to ground state energy of polaron lower than electronic ground state energy,and the ground state energy of polaron decreases with increasing coupling strength between electron and phonon.Numerical calculations also show that few phonons are excited at low temperature which the energy of electron thermal motion is lower than the energy of phonon,the ground state energy of polaron is const,while phonons can be excited at higher temperature which the energy of electron thermal motion is higher than the energy of phonon,the ground state energy of polaron increases with rising temperature.