New Inversion Scheme for Obtaining Fermi-Surface Radii from de Haas-van Alphen Areas

Abstract

The existing solution to this problem has not been useful in practice. We have found a new and much simpler method based on an expansion of both the area and of the radius squared in appropriate spherical harmonics. The integral equation between these objects yields the simple result $a_L^{}{}_{}{}^m=b_L^{}{}_{}{}^m\pi P_L\mathrm{}\left(0\right),$