Fermiology via the electron momentum distribution

TL;DR

This paper reviews methods for reconstructing the Fermi surface of metals using electron momentum distribution data from experiments like Compton scattering, highlighting mathematical techniques and key findings in the field.

Contribution

It provides a comprehensive overview of experimental and mathematical methods for Fermi surface reconstruction from electron momentum data.

Findings

Successful reconstruction of Fermi surfaces in various metals

Demonstration of mathematical techniques for 3D density reconstruction

Summary of key experimental results in Fermiology

Abstract

Investigations of the Fermi surface via the electron momentum distribution reconstructed from either angular correlation of annihilation radiation (or Compton scattering) experimental spectra are presented. The basis of these experiments and mathematical methods applied in reconstructing three-dimensional densities from line (or plane) projections measured in these experiments are described. The review of papers where such techniques have been applied to study the Fermi surface of metallic materials with showing their main results is also done.