Signature of quantum Hall effect Skyrmions in tunneling: A theoretical study

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 v = 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.