Fermi surface determination from momentum density projections

TL;DR

This paper introduces a Bayesian method for accurately determining a metal's Fermi surface from momentum density measurements, demonstrating high accuracy and precision on simulated data.

Contribution

It presents a novel Bayesian approach for Fermi surface determination from projection data, improving accuracy and statistical reliability over previous methods.

Findings

Systematic accuracy is very satisfactory.

Statistical precision on modest data is surprisingly good.

Method validated on simulated data.

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.