Coulomb Blockade Oscillations of Conductance at Finite Energy Level Spacing in a Quantum Dot

TL;DR

This paper derives an analytical formula for conductance oscillations in a quantum dot considering finite energy level spacing, temperature, and charging energy, applicable to quantum Hall regimes and spin effects.

Contribution

It provides a new analytical expression for conductance in a quantum dot with equidistant energy levels, accounting for finite energy spacing, temperature, and electron spin.

Findings

Analytical conductance expression for quantum dots with finite level spacing.

Description of peak line shape and temperature-dependent peak shifts.

Quantitative analysis of conductance in odd and even valleys.

Abstract

We find an analytical expression for the conductance of a single electron transistor in the regime when temperature, level spacing, and charging energy of a grain are all of the same order. We consider the model of equidistant energy levels in a grain in the sequential tunneling approximation. In the case of spinless electrons our theory describes transport through a dot in the quantum Hall regime. In the case of spin-1/2 electrons we analyze the line shape of a peak, shift in the position of the peak's maximum as a function of temperature, and the values of the conductance in the odd and even valleys.