Realistic Electron-Electron Interaction in a Quantum Wire

TL;DR

This paper investigates the effective electron-electron interaction in a quantum wire with high dielectric constant, analyzing exchange, correlation energies, and potential phase transitions in the electron liquid.

Contribution

It introduces a realistic model for electron interactions in quantum wires and explores the resulting electronic phases and excitations.

Findings

Calculated exchange and correlation energies.

Discussed the possibility of a paramagnetic-ferromagnetic transition.

Briefly described low-energy excitations.

Abstract

The form of an effective electron-electron interaction in a quantum wire with a large static dielectric constant is determined and the resulting properties of the electron liquid in such a one-dimensional system are described. The exchange and correlation energies are evaluated and a possibility of a paramagnetic-ferromagnetic phase transition in the ground state of such a system is discussed. Low-energy excitations are briefly described.