Hall Effect in Doped Mott-Hubbard Insulator

TL;DR

This paper provides a theoretical analysis of the Hall effect in doped Mott-Hubbard insulators using DMFT, showing how Hall parameters depend on doping and temperature, and compares results with experimental data.

Contribution

It introduces a Hubbard model-based approach to explain Hall effect behavior in cuprates, offering an alternative to quantum critical point models.

Findings

Hall coefficient and number vary with doping and temperature.

Sign change in Hall effect identified at specific doping levels.

Theoretical results agree with experimental data on YBCO and Nd-LSCO.

Abstract

We present theoretical analysis of Hall effect in doped Mott-Hubbard insulator, considered as a prototype of cuprate superconductor. We consider the standard Hubbard model within DMFT approximation. As a typical case we consider the partially filled (hole doping) lower Hubbard band. We calculate the doping dependence of both the Hall coefficient and Hall number and determine the value of carrier concentration, where Hall effect changes its sign. We obtain a significant dependence of Hall effect parameters on temperature. Disorder effects are taken into account in a qualitative way.We also perform a comparison of our theoretical results with some known experiments on doping dependence of Hall number in the normal state of YBCO and Nd-LSCO, demonstrating rather satisfactory agreement of theory and experiment. Thus the doping dependence of Hall effect parameters obtained within Hubbard model can be considered as an alternative to a popular model of the quantum critical point.