A simple metal-insulator criterion for the doped Mott-Hubbard materials

TL;DR

This paper presents a straightforward analytical criterion to determine metallic or insulating behavior in doped Mott-Hubbard materials, linking ground state properties to electronic phases and applying it to high-Tc cuprates.

Contribution

It introduces a new simple criterion for metal-insulator transitions in doped Mott-Hubbard systems based on ground state orbital and spin characteristics.

Findings

The criterion distinguishes metal and insulator phases in doped Mott-Hubbard materials.

It suggests the possibility of insulating states with forbidden electron removal states.

Application to high-Tc cuprates demonstrates practical relevance.

Abstract

We derived a simple metal-insulator criterion in analytical form for the doped Mott-Hubbard materials. Its readings closely related to the orbital and spin nature of the ground states of the unit cell. The available criterion readings (metal or insulator) in the paramagnetic phase points to the possibility of the insulator state of doped materials with the forbidden first removal electron states. According to its physical meaning the result is similar to Wilsons criterion in the itinerant electron systems. An application of the criterion to the high-Tc cuprates discussed.