Signature of Quantum Hall Effect Skyrmions in Tunneling: A Theoretical Study

TL;DR

This theoretical study explores how skyrmions influence tunneling currents in quantum Hall systems, revealing their structure and electron interactions through spectral functions and $I-V$ characteristics.

Contribution

It provides a detailed theoretical analysis linking skyrmion structures to tunneling current signatures in quantum Hall systems, incorporating finite-size and analytical models.

Findings

Skyrmions significantly affect tunneling $I-V$ characteristics.

Electron-electron interaction pseudopotentials are reflected in tunneling currents.

Spectral functions reveal skyrmion structures in quantum Hall systems.

Abstract

We present a theoretical study of the $I-V$ tunneling characteristic between two parallel two-dimensional electron gases in a perpendicular magnetic field when both are near filling factor $\nu=1$. Finite-size calculations of the single-layer spectral functions in the spherical geometry and analytical expressions for the disk geometry in the thermodynamic limit show that the current in the presence of skyrmions reflects in a direct way their underlying structure. It is also shown that fingerprints of the electron-electron interaction pseudopotentials are present in such a current.