Inversion of Fermi-Surface Data Using Partial-Wave Phase Shifts and Their Derivatives: An Application to the Noble Metals

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Abstract
Utilizing the Korringa-Kohn-Rostoker method, we present straightforward procedures for efficiently parametrizing experimental Fermi-surface data. Useful techniques, derived from standard least-squares methods, are generated for fitting areas, cyclotron effective masses, and pressure derivatives of areas, using as adjustable parameters, phase shifts, energy derivatives of phase shifts, and lattice-constant derivatives of phase shifts, respectively. We apply these techniques to recent noble-metal Fermi-surface data and demonstrate that the quality of fit for the above quantities is highly insensitive to the assumed value of the energy parameter used in the formalism.