Abstract

Electron correlation plays a key role in high-temperature cuprate superconductors. Material-parameter dependence of cuprates is important to clarify the mechanism of high temperature superconductivity. In this study, we examine the ground state of the three-band Hubbard model (d-p model) that explicitly includes oxygen p orbitals. We consider the half-filled case with the large on-site Coulomb repulsion Ud by using the variational Monte Carlo method. The ground state is insulating when Ud is large at half-filling. The ground state undergoes a transition from a metal to a Mott insulator when the level difference εp-εd is increased.

Highlights

  • The study of high-temperature superconductors has been addressed extensively since the discovery of cuprate superconductors [1]

  • The CuO2 plane in cuprates plays a key role for the appearance of superconductivity [2-10] and the electron correlation in this plane is important [11-16]

  • Relationship between material parameters and critical temperature TC is important to clarify the mechanism of high temperature superconductivity

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Summary

Introduction

The study of high-temperature superconductors has been addressed extensively since the discovery of cuprate superconductors [1]. The CuO2 plane in cuprates plays a key role for the appearance of superconductivity [2-10] and the electron correlation in this plane is important [11-16]. Relationship between material parameters and critical temperature TC is important to clarify the mechanism of high temperature superconductivity. The first category includes transfer integrals tdp, tpp and the level of d and p electrons. These parameters determine the band structure and the Fermi surface. The transfer integrals play an important role to obtain a finite bulk limit of the superconducting condensation energy [12,13,17]. The parameter values were estimated in the early stage of research of high temperature cuprates [18-21]. How to cite this paper: Yanagisawa, T., et al (2014) Electron Correlation in High Temperature Cuprates.

Hamiltonian
Gutzwiller Function
Mott State in the Single-Band Case
Variational Parameters of the Band Structure
Mott State of Charge-Transfer Type
Summary

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