Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model

TL;DR

This paper reviews how the Hubbard model explains the Mott transition and the complex electronic states in high-temperature cuprate superconductors, focusing on the separation of spin and charge excitations near the transition.

Contribution

It offers a new perspective on the Mott transition using the Hubbard model to interpret anomalous electronic features in cuprates.

Findings

Electrons transition from single-particle to separated spin and charge excitations.

High-temperature cuprates exhibit complex electronic states near the Mott transition.

The Hubbard model provides insights into these anomalous features.

Abstract

A fundamental issue of the Mott transition is how electrons behaving as single particles carrying spin and charge in a metal change into those exhibiting separated spin and charge excitations (low-energy spin excitation and high-energy charge excitation) in a Mott insulator. This issue has attracted considerable attention particularly in relation to high-temperature cuprate superconductors, which exhibit electronic states near the Mott transition that are difficult to explain in conventional pictures. Here, from a new viewpoint of the Mott transition based on analyses of the Hubbard model, we review anomalous features observed in high-temperature cuprate superconductors near the Mott transition.