Ground State Energy of Extended Hubbard Model by self-consistent RPA

TL;DR

This paper applies the self-consistent random phase approximation (SCRPA) to an extended Hubbard model to analyze how intersite interactions influence the ground state energy and excitation properties, revealing enhanced conductivity due to repulsive intersite interactions.

Contribution

It introduces a SCRPA-based approach to study intersite interactions in an extended Hubbard model, providing new insights into ground state and excitation energy modifications.

Findings

Intersite repulsion increases system conductivity.

SCRPA effectively captures intersite interaction effects.

Ground state energy is influenced by intersite interactions.

Abstract

Using the SCRPA, we study the intersite interaction effect on the dynamics of N electrons system. We have considered an extended Hubbard model including intrasite and intersite interactions, and we have applied this model to a system of two neighbouring atoms containing a free electron. The application of SCRPA to this model allows us to study the intersite interaction effect on the ground state and the excitation energies of system. We show that the repulsive interaction between the electrons of the neighbouring atoms is the origin of an supplementary conductivity of the system.