Excitonic correlations in the system of gated metallic wires with the applied Zeeman magnetic field

TL;DR

This paper investigates excitonic correlations in a system of two metallic wires under magnetic and electric fields, analyzing how electron interactions influence excitonic pairing and magnetic order.

Contribution

It introduces a detailed analysis of excitonic pairing in coupled metallic wires considering Hubbard interactions, magnetic fields, and temperature effects.

Findings

Existence of excitonic pairing in low-dimensional metallic wires.

Hubbard U interaction enhances electron localization and antiferromagnetic order.

Calculated excitonic order parameter varies with interaction strength, magnetic field, and temperature.

Abstract

We have studied the electron-electron interactions in the system composed of two metallic wires, placed in the external magnetic and electric fields. The interactions between the electrons in the wires have been taken into account within the usual Hubbard model. We have considered both half-filling and partial-filling limits for the occupation of the atomic lattice sites. We show the existence of the excitonic pairing in this low-dimensional system and calculate the excitonic order parameter in different electron-electron interaction regime, magnetic field and temperature. We demonstrate that the usual Hubbard-$U$ interaction leads to strong electron localization which enhance the local antiferromagnetic order in the system.