Confined quantum systems in one dimension and conductance oscillations in narrow channels

TL;DR

This paper presents an exactly solvable 1D electron model with inverse-square interactions, explaining conductance oscillations in narrow semiconductor channels influenced by electron spin and charging effects.

Contribution

It introduces a new solvable model for confined quantum systems that captures conductance oscillations and spin effects in narrow channels.

Findings

Two independent conductance oscillation periods due to spin degrees of freedom.

Model explains conductance oscillations observed in semiconductor nanostructures.

Internal spin leads to multiple oscillation periods even at zero temperature.

Abstract

An exactly solvable electron model of a confined system with inverse-square interaction is presented. The ground state is given by the Jastrow-product wavefunction of power-law form. We discuss the results in connection with conductance oscillations observed in semiconductor nanostructures, for which single-electron charging effects play a crucial role. Due to the internal spin degrees of freedom, there appear two independent periods of the conductance oscillations in very narrow channels even at zero temperature.