Energy and polarizability of atoms in a magnetic field: Donors in silicon

The blinding energy of donors as described by a simple model Hamiltonian in a magnetic field of arbitrary strength is calculated using an expansion of the wave function in terms of spherical harmonics. All the matrix elements are calculated analytically and the Hamiltonian is solved accurately. We then calculate the polarizability by applying a very small electric field. Results are given for P, As, and Sb donors in silicon and are discussed with reference to recent experimental data by Castner and Lee. © 1978 The American Physical Society.