Novel interaction induced oscillations in correlated electron transport

TL;DR

This paper investigates how electron-electron interactions in a one-dimensional system cause new oscillations in electron transport, supplementing known Bloch oscillations, with detailed analysis for two electrons and implications for many particles.

Contribution

It reveals that electron interactions induce additional oscillations in mobility, depending on interaction strength and range, extending understanding beyond traditional Bloch oscillations.

Findings

Electron-electron interactions cause time-dependent mobility oscillations.

Oscillation period depends on interaction strength and range.

Transitions occur between bound and unbound electron states.

Abstract

The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in addition to the well known Bloch oscillations the electron-electron interaction induces time dependent oscillations of the mobility whose period depends on the strength and range of the coupling only. The oscillations involve transitions between bands of bound and unbound states. The case of two electrons is solved in detail and an extension of the results to more particles is discussed.