Fermi-surface mapping from Compton profiles: Application to beryllium

TL;DR

This paper demonstrates a method to map Fermi surfaces from Compton profiles, successfully applied to beryllium, showing that only two profiles can capture key features despite anisotropy.

Contribution

It introduces a technique using the Cormack method to reconstruct 2D momentum densities from minimal Compton profile data for Fermi-surface mapping.

Findings

Two Compton profiles suffice to reproduce main momentum density features.

Reconstructed densities are analyzed in extended and reduced zone schemes.

Method effectively captures anisotropic momentum distributions in beryllium.

Abstract

The two-dimensional momentum density of Be on the basal GMK plane, i.e. the line integral of the three-dimensional momentum density along the c-axis, is reconstructed via the Cormack method from both experimental and theoretical Compton profiles. It is shown that in the case of Be, despite the momentum density is highly anisotropic, merely two Compton profiles are sufficient to reproduce the main features of the momentum density. The analysis of the reconstructed densities is performed both in the extended and reduced zone schemes.