de Haas–van Alphen effect in the Anderson lattice for large orbital degeneracy

The de Haas–van Alphen (dHvA) effect is investigated theoretically starting from the Anderson lattice model generalized to finite spin-orbit degeneracy N. In the large-N limit a large mass enhancement is found in the dHvA amplitude but not in the oscillatory term (dependent on the Fermi-surface area). Extending the calculation of the free energy to next order in the 1/N expansion and to leading order in the oscillations, we show that the mass enhancement occurring in the dHvA amplitude is the same as that found in the specific heat. This result is in agreement with recent experiments on ${\mathrm{CeB}}_6$.