Published October 2007 | Version v1
Journal article

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

  • 1. Laboratoire de Physique de la Matiere Condensee, Faculte des Sciences Ben M'Sik, Universite Hassan II-Mohammedia Casablanca (Morocco)

Description

The self consistent random phase approximation (SCRPA) and a direct analytical (DA) method are proposed to solve the Extended Hubbard Model (EHM) in one dimension (1D). We have considered an EHM including on-site and off-site interactions for closed chains in 1D with periodic boundary conditions. The comparison of the SCRPA results with the ones obtained by a DA approach shows that the SCRPA treats the problem of these closed chains in 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 energygap vanishes when these closed chains are governed by a strong repulsive on-site interaction and intermediate nearest-neighbour repulsion

Additional details

Identifiers

DOI
10.1088/0031-8949/76/4/015;
PII
S0031-8949(07)48062-15;

Publishing Information

Journal Title
Physica Scripta (Online)
Journal Volume
76
Journal Issue
4
Journal Page Range
p. 370-374
ISSN
1402-4896

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39032109
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUNDARY CONDITIONS; COMPARATIVE EVALUATIONS; ELECTRONS; HUBBARD MODEL; INTERACTIONS; PERIODICITY; RANDOM PHASE APPROXIMATION
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; CRYSTAL MODELS; ELEMENTARY PARTICLES; EVALUATION; FERMIONS; LEPTONS; MATHEMATICAL MODELS; VARIATIONS