Abstract
The renormalized cyclotron mass of a strong coupling polaron in a three-dimensional (3D) anisotropic quantum dot is investigated using the Landau-Pekar variational approach in which a 3D anisotropic harmonic potential and electron wave function are included in the Hamiltonian to obtain ground state (GS) and excited-state (ES) energies. The expressions of the GS and ES energies under investigation depict a rich variety of dependent relationship with the variational parameters in three different limiting case based on them. It is demonstrated that the Landau-Pekar variational approach provides a reasonable description of the observed properties, in particular, detailed relations between the cyclotron masses and the magnetic field strength, the confinement lengths in the xy-plane and the z direction are discussed.
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