Off-site interaction effect in the Extended Hubbard Model with SCRPA method

TL;DR

This paper introduces SCRPA and a Direct Analytical method to analyze the 1D Extended Hubbard Model with off-site interactions, revealing how nearest-neighbour repulsion influences conductivity.

Contribution

The paper presents a novel application of SCRPA and a Direct Analytical approach to solve the 1D Extended Hubbard Model with off-site interactions, demonstrating their effectiveness and insights into electron dynamics.

Findings

SCRPA results align well with the Direct Analytical method.

Nearest-neighbour repulsion enhances conductivity in the model.

Energy gap vanishes under strong on-site and intermediate off-site repulsions.

Abstract

The Self Consistent Random Phase Approximation (SCRPA) and a Direct Analytical (DA) method are proposed to solve the Extended Hubbard Model in 1D. We have considered an Extended Hubbard Model (EHM) including on-site and off-site interactions for closed chains in one dimension with periodic boundary conditions. The comparison of the SCRPA results with ones obtained by a Direct Analytical approach shows that the SCRPA treats the problem of these closed chains with a rigorous manner. The analysis of the nearest-neighbour repulsion effect on the dynamics of our closed chains shows that this repulsive interaction between the electrons of the neighbouring atoms induces supplementary conductivity, since, the SCRPA energy gap vanishes when these closed chains are governed by a strong repulsive on-site interaction and intermediate nearest-neighbour repulsion.