Exact closed-form expressions for the second-order perturbation-theory shift of the $n=0\mathrm{}$, $n=1\mathrm{}$, and $n=2\mathrm{}$ polaron Landau levels in two dimensions are derived. In the limit of weak magnetic field, results recently obtained by Das Sarma [Phys. Rev. Lett. 52, 589 (1984); 52, 1570(E) (1984)] are recovered.

• Received 22 March 1984

DOI:https://doi.org/10.1103/PhysRevB.30.4807