Fermi surface determination from momentum density projections

Abstract

The problem of determining a metal's Fermi surface from measurements of projections of the electron or electron/positron momentum densities, such as obtained by Compton Scattering or Angular Correlation of Positron Annihilation Radiation, respectively, is considered in a Bayesian formulation. A consistent approach is presented and its advantages compared to previous practice is discussed. A validation of the proposed method on simulated data shows its systematic accuracy to be very satisfactory and its statistical precision on modest experimental data to be surprisingly good.

References in corpus (4)

• Spin-resolved Fermi surface of the localized ferromagnetic Heusler compound Cu${}_2$MnAl measured with spin-polarized positron annihilation
• Band structure of LaB6 by an algorithm for filtering reconstructed electron-positron momentum densities
• De Haas-van Alphen effect and Fermi surface properties of single crystal CrB2
• Influence of experimental noise on densities reconstructed from line projections

Cited by in corpus (2)

• Momentum Density Spectroscopy of Pd: Comparison of 2D-ACAR and Compton Scattering Using a New 1D-to-2D Reconstruction Method
• Fermi-Surface Modeling of Light-Rare-Earth Hexaborides with 2D-ACAR Spectroscopy