Non-equilibrium Differential Conductance through a Quantum Dot in a Magnetic Field

TL;DR

This paper derives an exact formula for the differential conductance of a quantum dot in a magnetic field, valid across all interaction regimes, highlighting the importance of voltage-dependent Green's functions in experiments.

Contribution

It provides a novel exact expression for differential conductance in a magnetic field using renormalized perturbation theory, applicable to all U values including the Kondo regime.

Findings

Critical magnetic field for Kondo resonance splitting calculated.

Peak positions in differential conductance are significantly reduced from equilibrium estimates.

Voltage dependence of Green's function is crucial for interpreting experimental data.

Abstract

We derive an exact expression for the differential conductance for a quantum dot in an arbitrary magnetic field for small bias voltage. The derivation is based on the symmetric Anderson model using renormalized perturbation theory and is valid for all values of the on-site interaction $U$ including the Kondo regime. We calculate the critical magnetic field for the splitting of the Kondo resonance to be seen in the differential conductivity as function of bias voltage. Our calculations for small field show that the peak position of the component resonances in the differential conductance are reduced substantially from estimates using the equilibrium Green's function. We conclude that it is important to take the voltage dependence of the local retarded Green's function into account in interpreting experimental results