Equilibrium-charge diagram of single quantum dot in an axial magnetic field

TL;DR

This paper presents an equilibrium-charge diagram for a quantum dot under an axial magnetic field, illustrating how magnetic field and lead voltage influence electron number and transport.

Contribution

It introduces a novel equilibrium-charge diagram that visually represents electron states and transport conditions in a quantum dot with magnetic field effects.

Findings

Magnetic field affects electron number in the quantum dot.

The equilibrium-charge diagram clearly shows electron transport conditions.

The diagram serves as a compact visualization tool for quantum dot states.

Abstract

The chemical potential of a quantum dot parabolically confining one or two electrons is studied in an axial magnetic field. The number of electrons in the dot is given by combination between the chemical potentials of the dots and leads. The equilibrium-charge diagram of the dot is obtained in the phase space determined by the magnetic field and the lead voltage. The influence of the magnetic field on the electron number and the electron transport is discussed. The dependence of the electron number on the magnetic fields and the lead voltage is clear at a glance in the equilibrium-charge diagram. Moreover, the diagram is a compact tool to show the condition of the electron transport.