Inelastic electron transport through Quantum Dot coupled with an nano mechancial oscillator in the presence of strong applied magnetic field

TL;DR

This paper investigates how strong magnetic fields influence inelastic electron transport in a quantum dot coupled with a mechanical oscillator, revealing effects like Zeeman splitting, symmetric tunneling, and phononic side band suppression.

Contribution

It provides a detailed analysis of magnetic field effects on inelastic conduction and phononic features in quantum dot-oscillator systems, highlighting the role of tunneling rates and Zeeman splitting.

Findings

Zeeman splitting weakens Coulomb blockade effects.

Symmetric tunneling rates lead to oscillator excitation by both spin states.

Increasing coupling broadens electronic states, hiding phononic side bands.

Abstract

In this study we explain the role of applied magnetic field in inelastic conduction properties of a Quantum Dot coupled with an oscillator . In the presence of strong applied magnetic field coulomb blockade effects become weak due to induced Zeeman splitting in spin degenerate eigen states of Quantum Dot.By contacting Quantum Dot by identical metallic leads tunneling rates of spin down and spin up electrons between Quantum Dot and electrodes will be symmetric. For symmetric tunneling rates of spin down and spin up electrons onto Quantum Dot, first oscillator get excited by spin down electrons and then spin up elctrons could excite it further. Where as average energy transferred to oscillator coupled with Quantum Dot by spin down electrons will further increase by average energy transferred by spin up electrons to oscillator. Here we have also discussed that with increasing Quantum Dot and electrodes coupling strength phononic side band peaks start hiding up, which happens because with increasing tunneling rates electronic states of Quantum Dot start gettting broadened.