# First-Principles Momentum Dependent Local Ansatz Approach to the Momentum Distribution Function in Iron-Group Transition Metals

## TL;DR

This paper uses a first-principles approach to study the momentum distribution function in iron-group transition metals, revealing strong momentum dependence in d electrons and correlating mass enhancements with spin and charge fluctuations.

## Contribution

It introduces a momentum dependent local ansatz wavefunction method to analyze the MDF and mass enhancements in transition metals, highlighting the role of electron correlations.

## Key findings

- d electrons show strong momentum dependence and deviation from Fermi-Dirac distribution
- Mass enhancement factors are momentum dependent and linked to spin and charge fluctuations
- Results agree with specific heat and photoemission spectroscopy data

## Abstract

The momentum distribution function (MDF) bands of iron-group transition metals from Sc to Cu have been investigated on the basis of the first-principles momentum dependent local ansatz wavefunction method. It is found that the MDF for $d$ electrons show a strong momentum dependence and a large deviation from the Fermi-Dirac distribution function along high-symmetry lines of the first Brillouin zone, while the $sp$ electrons behave as independent electrons. In particular, the deviation in bcc Fe (fcc Ni) is shown to be enhanced by the narrow $e_{g}$ ($t_{2g}$) bands with flat dispersion in the vicinity of the Fermi level. Mass enhancement factors (MEF) calculated from the jump on the Fermi surface are also shown to be momentum dependent. Large mass enhancements of Mn and Fe are found to be caused by spin fluctuations due to $d$ electrons, while that for Ni is mainly caused by charge fluctuations. Calculated MEF are consistent with electronic specific heat data as well as the recent angle resolved photoemission spectroscopy data.