Polaron effects on an anisotropic quantum dot in a magnetic field

The polaronic effects for an electron confined in a parabolic quantum dot a nd a uniform magnetic field are calculated, taking into account the electro n-bulk LO-phonon interaction. The variational wave function is constructed as a product form of an electronic part and a part of coherent phonons gene rated by the Lee-Low-Pines transformation from the vacuum. An analytical ex pression for the polaron energy is found by the minimization procedure, and from this expression the ground- and first-excited-state energies are obta ined explicitly. It is shown that the results obtained for the ground-state energy reduce to the existing works in zero magnetic fields. In the presen ce of a magnetic field, the confinement of the electron is examined in thre e different limiting cases both for the ground and first excited states, de pending on certain parameters, such as the magnetic-field strength, the ele ctron-phonon coupling strength, the polaron radius, and the confinement len gth. [S0163-1829(99)03828-X].