Property of one-dimensional Coulomb interaction and its possible contribution to strongly correlated systems

TL;DR

This paper reveals that in strict one-dimensional systems, Coulomb repulsion energy diverges for paired electrons, leading to complete localization and explaining phenomena like the 0.7 anomaly, with implications for strongly correlated systems.

Contribution

It identifies a unique divergence property of Coulomb interaction in 1D systems and discusses its implications for strongly correlated electron behavior.

Findings

Coulomb repulsion energy diverges for paired electrons in 1D.

Electrons in 1D cannot doubly occupy the same orbital.

The 0.7 anomaly is explained by this property.

Abstract

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial orbital and are completely localized. Numerical simulation by time dependent Hartree-Fock approximation shows this distinct property. The '0.7 anomaly' in 1D electron gas is fully explained by the property. Its possible contribution to strongly correlated systems is discussed.