Ultra-complex conductivity diagrams in the nearly free electron approximation

TL;DR

This paper explores the potential for ultra-complex conductivity diagrams in metals with cubic symmetry within the nearly free electron approximation, highlighting the conditions related to Fermi level positioning and symmetry effects.

Contribution

It demonstrates that ultra-complex conductivity diagrams can emerge under specific Fermi level conditions in cubic metals, emphasizing the role of high symmetry and simple dispersion relations.

Findings

Ultra-complex diagrams require Fermi levels in narrow energy intervals.

High symmetry and simple dispersion relations influence diagram complexity.

Emergence of complex diagrams is limited by electronic structure conditions.

Abstract

We investigate the possibility of the emergence of ultra-complex conductivity diagrams in the nearly free electron approximation for metals with cubic symmetry. Estimates show that the emergence of such diagrams requires the Fermi level to fall into very narrow energy intervals within the conduction band. In our view, this circumstance is mostly due to the high symmetry and the simplest analytical form of the dispersion relations $\epsilon ({\bf p})$ under consideration.