Ground state energies of bound polarons in semiconductors in a strong magnetic field

Effect of the electron-lattice coupling on the ground state energies of shallow donors in a strong magnetic field is investigated for a few polar semiconductors. Extending the theory of Bajaj for bound polarons in the weak coupling limit, and using the ground state wave function of Yafet et al. for a shallow donor in a magnetic field, it is found that the coupling enhances the ground state energies. While this effect is negligible for most of the semiconductors, the results indicate softening of the coupling in a magnetic field.